Laboratory A
Question Reservoir
With Answers
Mathematical Voyage
The Dimensions Program
NASCAR Project
Cage
Figure 1 Talladega Superspeedway
Courtesy of Curtis Palmer
Project Grant Team
Prof. Jeanne Bowman
Project Designer
Patricia L. Hirschy
Principal Investigator
John S. Pazdar
Program Director
Prof. Ebrahim Ahmadizadeh
Project Tester
Dennis C. Ebersole
Principal Investigator
Gometry
I.
Dimensional
A. The frame is constructed from 3 inches by 4 inches (assume these are outside
dimensions) rectangular steel tubing 0.093 inches thick.
1. What are the two inside dimensions of the steel tubing?
2.907 in by 3.907 in
2. What is the area in square inches of a cross section of the steel tubing?
0.642 sq in
3. What is the volume in cubic inches of material in a section of the tubing that is
3 feet long?
23.125 cu in
4. What are the outside dimensions in centimeters?
7.62 cm by 10.16 cm
B. The main part of the roll cage is made from steel tubing that is 0.093 inches thick and
1.75 inches in diameter (assume this is outside diameter). The body panels are made
from 24-gauge (0.0247 inches thick) sheet metal.
1. What is the outside circumference of the tubing?
5.498 in
2. What is the inside circumference of the tubing?
5.206 in
3. What is the area of a cross section of the tubing?
0.246 sq in
4. What is the volume of material in a piece of tubing 3 feet long?
8.856 cu in
5. What is the outside diameter in centimeters?
4.445 cm
6. What is the inside diameter in centimeters?
4.209 cm
NASCAR QR – Lab A - 2
7. What is the thickness of the body panels in centimeters?
0.063 cm
8. What is the thickness of the body panels in millimeters?
0.627 mm
C. A restrictor plate is an aluminum plate 1/8 inches thick that fits between the
carburetor and the intake manifold. It has four holes that are designed to restrict the
amount of air that goes into the carburetor. The four corresponding holes in the
carburetor that this plate fits over have a diameter of 1 11/16 inches. The diameter of
the holes in the restrictor plates can change from one race to the next. Since 1989
NASCAR has used plates with 1 inch, 15/16 inches, 29/32 inches, 7/8 inches, 57/64
inch, and 31/32 inches diameters.
1. What is the area of the piece of aluminum that must be removed to produce a
circular hole 1 inch in diameter?
≈ 0.785 sq in
2. What is the area of the piece of aluminum that must be removed to produce a
circular hole 15/16 inches in diameter?
≈ 0.690 sq in
3. What is the area of the piece of aluminum that must be removed to produce a
circular hole 29/32 inches in diameter?
≈ 0.645 sq in
4. What is the area of the piece of aluminum that must be removed to produce a
circular hole 7/8 inches in diameter?
≈ 0.601 sq in
5. What is the area of the piece of aluminum that must be removed to produce a
circular hole 57/64 inches in diameter?
≈ 0.623 sq in
6. What is the area of the piece of aluminum that must be removed to produce a
circular hole 31/32 inches in diameter?
≈ 0.737 sq in
7. What is the circumference of a hole with diameter 1 inch?
≈ 3.142 in
8. What is the circumference of a hole with diameter 15/16 inches?
≈ 2.945 in
9. What is the circumference of a hole with diameter 29/32 inches?
≈ 2.847 in
NASCAR QR – Lab A - 3
10. What is the circumference of a hole with diameter 7/8 inches?
≈ 2.749 in
11. What is the circumference of a hole with diameter 57/64 inches?
≈ 2.798 in
12. What is the circumference of a hole with diameter 31/32 inches?
≈ 3.043 in
13. What is the volume of a piece of 1/8 inches thick aluminum that must be removed
to produce a hole 1 inch in diameter?
≈ 0.098 cu in
14. What is the volume of a piece of 1/8 inches thick aluminum that must be removed
to produce a hole 7/8 inches in diameter?
≈ 0.075 cu in
15. A restrictor plate has four holes. What is the total volume of aluminum that must
be removed to produce four holes 7/8 inches in diameter?
≈ 0.301 cu in
16. A hole on the carburetor has a diameter of 1 11/16 inches. What is the area of this
hole?
≈ 2.237 sq in
17. What is the area in square centimeters of the piece of aluminum that must be
removed to produce a circular hole 7/8 inches in diameter?
≈ 3.881 sq cm
18. What is the volume in cubic centimeters of a piece of 1/8-inch thick aluminum
that must be removed to produce a hole 7/8 inches in diameter?
≈ 1.229 cu cm
NASCAR QR – Lab A - 4
Arithmetic
I.
Operations
A. The wheelbase of the current racecar is 110 inches. The body width is 74 inches with
a body length of 198.5 inches. It has a height of 53.5 inches.
1. What is the difference between the length and width of the racecar?
124.5 in
2. What is the difference between the wheelbase and width of the racecar?
36 in
3. What is the difference between the length and wheelbase of the racecar?
88.5 in
B. The main part of the roll cage is made from steel tubing that is 0.093 inches thick and
1.75 inches in diameter (assume this is outside diameter). The body panels are made
from 24-gauge (0.0247 inches thick) sheet metal.
1. What is the inside diameter of the tubing?
1.657 in
2. What is the outside radius of the tubing?
0.875 in
3. What is the inside radius of the tubing?
0.829 in
NASCAR QR – Lab A - 5
C. A restrictor plate is an aluminum plate 1/8 inches thick that fits between the
carburetor and the intake manifold. It has four holes that are designed to restrict the
amount of air that goes into the carburetor. The four corresponding holes in the
carburetor that this plate fits over have a diameter of 1 11/16 inches. The diameter of
the holes in the restrictor plates can change from one race to the next. Since 1989
NASCAR has used plates with 1 inch, 15/16 inches, 29/32 inches, 7/8 inches, 57/64
inches and 31/32 inches diameters.
1. Write 1 inch, 15/16 inches, 29/32 inches, 7/8 inches, 57/64 inches, and 31/32
inches in order from largest to smallest.
1 in,
31/32 in ≈ 0.969 in,
15/16 in ≈ 0.938 in,
29/32 in ≈ 0.906 in,
57/64 in ≈ 0.891 in,
7/8 in = 0.875 in
2. Since 1989 NASCAR has used plates with 1 inch, 15/16 inches, 29/32 inches, 7/8
inches, 57/64 inches, and 31/32 inches diameters. What is the radius of each of
these?
1/2 in = 0.5 in,
15/32 in ≈ 0.469 in,
29/64 in ≈ 0.453 in,
7/16 in ≈ 0.438 in,
57/128 in ≈ 0.445 in,
31/64 in ≈ 0.484 in
3. How much larger in area is a circle with diameter 15/16 inches than a circle with
diameter 57/64 inches?
(351/16,384) " sq in ≈ 0.067 sq in
4. A hole on the carburetor has a diameter of 1 11/16 inches. What is the radius of
this hole?
(27/32) in ≈ 0.844 in
5. What is the decrease in area between the 1 11/16 inches hole in the carburetor and
a 15/16 inches hole in a restrictor plate?
(63/128) " sq in ≈ 1.546 sq in
6. What is the decrease in area between the 1 11/16 inches hole in the carburetor and
a 7/8 inches hole in a restrictor plate?
(533/1,024) " sq in ≈ 1.635 sq in
NASCAR QR – Lab A - 6
II.
Conversions
A. The wheelbase of the current racecar is 110 inches. The body width is 74 inches with
a body length of 198.5 inches. It has a height of 53.5 inches.
1. What is the wheelbase in centimeters?
279.4 cm
2. What is the wheelbase in meters?
2.794 m
3. What is the body width in centimeters?
187.96 cm
4. What is the body width in meters?
1.880 m
5. What is the body length in centimeters?
504.19 cm
6. What is the body length in meters?
5.042 m
7. What is the height in centimeters?
135.89 cm
8. What is the height in meters?
1.359 m
B. The frame is constructed from 3 inches by 4 inches (assume these are outside
dimensions) rectangular steel tubing 0.093 inches thick.
1. What are the outside dimensions in centimeters?
7.62 cm by 10.16 cm
NASCAR QR – Lab A - 7
C. The average speed for the winner (Kyle Busch) at Bristol in March 2007 was 81.969
mph compared to the average winning speeds at Bristol in 2006 (79.427 mph), 2005
(77.496 mph) and 2004 (82.607 mph) before the Car of Tomorrow was introduced.
1. What was the 2007 winning speed in kilometers per hour?
131.970 km/hr
2. What were the winning speeds in 2006, 2005 and 2004 in kilometers per hour?
127.877 km/hr,
124.769 km/hr,
132.997 km/hr
3. What is the difference between the 2007 speed and the 2006 speed in miles per
hour?
2.542 km/hr
4. What is the difference between the 2007 speed and the 2006 speed in kilometers
per hour?
4.093 km/hr
5. What is the average of the winning speeds for 2007, 2006, 2005 and 2004 in miles
per hour?
80.375 mph
D. The current racecar has a height of 53.5 inches, which is 2.5 inches higher than the
cars it replaced.
1. What was the previous car height?
51 in
2. What is the height of the current car in centimeters?
135.89 cm
3. What is the height of the current car in meters?
1.359 m
E. The cars weigh at least 3,400 lb with at least 1,625 lb of the weight on the right side.
1. What is the minimum weight of the cars in kilograms?
1,543.6 kg
2. What is the minimum right-side weight in kilograms?
737.75 kg
NASCAR QR – Lab A - 8
F. The front splitter is a shelf under the front bumper, which can be moved 4 to 6 inches
to adjust the downforce on the front of the car
1. If the splitter can be moved 4 to 6 inches, how many centimeters is this?
10.16 cm to 15.24 cm
2. If the splitter can be moved 4 to 6 inches, how many feet is this?
1/3 ft to 1/2 ft, ≈ 0.333 ft to 0.5 ft
G. The racecar’s fuel cell holds 17.75 gallons of racing fuel, compared to 22 gallons in
previous NASCAR vehicles.
1. What is the decrease in fuel capacity?
4.25 gal
2. How many quarts of fuel does the new fuel cell hold?
71 qt
3. How many quarts of fuel did the previous fuel cell hold?
88 qt
4. How many liters of fuel does the new fuel cell hold?
67.184 L
5. How many liters of fuel did the previous fuel cell hold?
83.27 L
6. What is the decrease in fuel capacity in liters?
16.086 L
H. NASCAR has an extensive research and development division that checks each
chassis to be sure that it conforms to official standards. A portable coordinate
measuring machine checks around 220 measurements during the certification process.
Measurements are accurate to within one ten-thousandths of an inch.1
1. How many millimeters is one ten-thousandth of an inch equal to?
0.00254 mm
NASCAR QR – Lab A - 9
I.
The engine in NASCAR’s current racecar is similar to previous versions. It is a 358
cu in V-8 engine that produces 850 horsepower at 9,000 rpm (revolutions per
minute).
1. Convert 358 cubic inches to cubic centimeters.
5,866.569 cu cm
2. One horsepower is equal to 745.6999 watts. How many watts is 850 hp equal to?
633,844.915 watts
3. One horsepower is equal to 550 foot-pounds per second (ft lb/sec). How many
foot-pounds per second are 850 hp equal to?
467,500 ft lb / sec
4. Metric horsepower is approximately equal to 98.6 % of mechanical horsepower.
How many metric horsepower is 850 hp equal to?
838.1 metric horsepower
5. How many revolutions per second is 9000 rpm equal to?
150 rev / sec
J. Daytona International Speedway (2.5 miles long) and Talladega (2.66 miles long) are
superspeedways with high banking. In 1987 Bill Elliott reached speeds of 210.364
mph at Daytona and 212.809 mph at Talladega.
1. What is Bill Elliott’s Daytona speed in miles per minute?
3.506 mi / min
2. What is Bill Elliott’s Daytona speed in feet per second?
308.534 ft / sec
3. What is Bill Elliott’s Daytona speed in kilometers per hour?
338.55 km / hr
4. What is Bill Elliott’s Daytona speed in meters per second?
94.041 m / sec
5. What is Bill Elliott’s Talladega speed in miles per minute?
3.547 mi / min
6. What is Bill Elliott’s Talladega speed in feet per second?
312.120 ft / sec
7. What is Bill Elliott’s Talladega speed in kilometers per hour?
342.48 km / hr
NASCAR QR – Lab A - 10
8. What is Bill Elliott’s Talladega speed in meters per second?
95.134 m / sec
9. What is the difference in miles per hour between Bill Elliott’s Talladaga speed
and Bill Elliott’s Daytona speed?
2.445 mph
10. What is the difference in meters per second between Bill Elliott’s Talladaga speed
and Bill Elliott’s Daytona speed?
1.093 m / sec
K. A restrictor plate is an aluminum plate 1/8 inch thick that fits between the carburetor
and the intake manifold. It has four holes that are designed to restrict the amount of
air that goes into the carburetor. The four corresponding holes in the carburetor that
this plate fits over have a diameter of 1 11/16 inches. The diameter of the holes in the
restrictor plates can change from one race to the next. Since 1989 NASCAR has used
plates with 1 inches, 15/16 inches, 29/32 inches, 7/8 inches, 57/64 inches and 31/32
inches diameters.
1. Convert a diameter of 7/8 inches to centimeters.
2.223 cm
2. Convert a diameter of 7/8 inches to millimeters.
22.225 mm
3. What is the circumference in centimeters of a hole with diameter 7/8 inches?
6.984 cm
NASCAR QR – Lab A - 11
III.
Ratios & Proportions
A. The wheelbase of the current racecar is 110 inches. The body width is 74 inches with
a body length of 198.5 inches. It has a height of 53.5 inches.
1. If a model of the racecar were built to a scale of 1 : 20, what would the wheelbase
of the scale model be?
5.5 in
2. If a model of the racecar were built to a scale of 1 : 20, what would the body
width of the scale model be?
3.7 in
3. If a model of the racecar were built to a scale of 1 : 20, what would the body
length of the scale model be?
9.925 in
4. If a model of the racecar were built to a scale of 1 : 20, what would the height of
the scale model be?
2.675 in
B. The cars weigh at least 3,400 lb with at least 1,625 lb of the weight on the right side.
1. What is the ratio of the minimum right-side weight to the minimum weight of the
car?
65 : 136
1
http://www.nascar.com/2008/news/features/05/20/inside.research.development.center/index.html
NASCAR QR – Lab A - 12
Laboratory B
Question Reservoir
With Answers
Mathematical Voyage
The Dimensions Program
NASCAR Project
RFIC Chip
Figure 1 Goodyear Tire and Rubber, Co.
Not for unauthorized copy, etc.
Project Grant Team
Prof. Jeanne Bowman
Project Designer
Patricia L. Hirschy
Principal Investigator
John S. Pazdar
Program Director
Prof. Ebrahim Ahmadizadeh
Project Tester
Dennis C. Ebersole
Principal Investigator
Gometry
I.
Dimensional
A. At Pocono Raceway in 2009 the left side tires had a circumference of 87.4 inches
while the right side circumference was 88.6 inches.
1. What is the circumference of the left side tire in centimeters?
221.996 cm
2. What is the circumference of the right side tire in centimeters?
225.044 cm
Arithmetic
I.
Operations
A. At Pocono Raceway in 2009 the left side tires had a circumference of 87.4 inches
while the right side circumference was 88.6 inches.
1. What is the difference in circumference of the left side tire and the right side tire?
1.2 in
2. What is the difference in the diameters of the left side tire and the right side tire?
0.382 in
NASCAR QR – Lab B - 2
B. Given Table 1
Table 1
Tire roll out
Tire diameter
Tire width
Tire weight
Inflation pressure
Spring rate
Tread width
Carcass ply width
Bead diameter
Left Side Tire
Measurement Tolerance
87.7"
+/- 0.1"
27.9"
+/- 0.1"
11.85"
+/- 0.05"
35.5 lbs
+/- .5 lbs
30.0 psi
+ 40 psi / - 0 psi
1,350 lbf/in
+/- 50 lbf/in
11.30"
+/- 0.05"
35.0"
+/- 0.1"
15.30"
+/- .05"
Right Side Tire
Measurement Tolerance
88.4"
+/- 0.1"
28.2"
+/- 0.1"
12.00"
+/- 0.05"
37.0 lbs
+/- .5 lbs
50.0 psi
+ 50 psi / - 0 psi
1,500 lbf/in
+/- 50 lbf/in
11.85"
+/- 0.05"
36.2"
+/- 0.1"
15.30"
+/- .05"
1. The right side tire has a tire roll out (circumference) of 88.4 inches with a
tolerance of +/- 0.1 inch. What are the largest and smallest acceptable values for
the tire roll out? (Find the acceptable values for the other items shown in the
table.)
Tire roll out
Tire diameter
Tire width
Tire weight
Inflation pressure
Spring rate
Tread width
Carcass ply width
Bead diameter
Left Side Tire
87.6" – 87.8"
27.8" – 28.0"
11.80" – 11.90"
35.0 lbs – 36.0 lbs
30.0 psi – 70 psi
1,300 lbf/in – 1,400 lbf/in
11.25" – 11.35"
34.9" – 35.1"
15.25" – 15.35"
NASCAR QR – Lab B - 3
Right Side Tire
88.3" – 88.5"
28.1" – 28.3"
11.95" – 12.05"
36.5 lbs – 37.5 lbs
50.0 psi – 100 psi
1,450 lbf/in – 1,550 lbf/in
11.80" – 11.90"
36.1" – 36.3"
15.25" – 15.35"
2. Divide the left side tire roll out by the left side tire diameter. What does your
answer mean?
3.143 (Circumference ÷ Diameter = ")
3. How much larger is the right side tire roll out than the left side tire roll out?
0.7 in
4. How much larger is the right side tire diameter than the left side tire diameter?
0.3 in
5. How much more does the right side tire weigh?
1.5 lb
6. How much larger is the right side tire diameter than the right side bead diameter?
12.9 in
7. How much larger is the left side tire diameter than the left side bead diameter
12.6 in
NASCAR QR – Lab B - 4
II.
Conversions
A. Each race tire has an average life of 100 miles, compared to street tires with a life of 50,000
miles.
1. What is the average life of a race tire in kilometers?
161 km
2. What is the average life of a street tire in kilometers?
80,500 km
B. Given Table 1
Table 1
Tire roll out
Tire diameter
Tire width
Tire weight
Inflation pressure
Spring rate
Tread width
Carcass ply width
Bead diameter
Left Side Tire
Measurement Tolerance
87.7"
+/- 0.1"
27.9"
+/- 0.1"
11.85"
+/- 0.05"
35.5 lbs
+/- .5 lbs
30.0 psi
+ 40 psi / - 0 psi
1,350 lbf/in
+/- 50 lbf/in
11.30"
+/- 0.05"
35.0"
+/- 0.1"
15.30"
+/- .05"
Right Side Tire
Measurement Tolerance
88.4"
+/- 0.1"
28.2"
+/- 0.1"
12.00"
+/- 0.05"
37.0 lbs
+/- .5 lbs
50.0 psi
+ 50 psi / - 0 psi
1,500 lbf/in
+/- 50 lbf/in
11.85"
+/- 0.05"
36.2"
+/- 0.1"
15.30"
+/- .05"
1. What is the left side tire roll out in centimeters?
222.758 cm
2. What is the left side tire roll out in meters?
2.228 m
3. What is the right side tire roll out in centimeters?
224.536 cm
4. What is the right side tire roll out in meters?
2.245 m
5. What is the left side tire weight in kilograms?
16.117 kg
6. What is the right side tire weight in kilograms?
16.798 kg
NASCAR QR – Lab B - 5
III
Ratios & Proportions
A. At Pocono Raceway in 2009 the left side tires had a circumference of 87.4 inches
while the right side circumference was 88.6 inches. What is the ratio of the
circumference of the right side tire to the left side tire?
443 : 437
B. Each race tire has an average life of 100 miles, compared to street tires with a life of
50,000 miles. What is the ratio of the average life of a race tire to the average life of
a street tire?
1 : 500
NASCAR QR – Lab B - 6
Laboratory C
Question Reservoir
With Answers
Mathematical Voyage
The Dimensions Program
NASCAR Project
Raceways
Figure 1 New Hampshire Speedway
Courtesy of SayCheeeeeese
Project Grant Team
Prof. Jeanne Bowman
Project Designer
Patricia L. Hirschy
Principal Investigator
John S. Pazdar
Program Director
Prof. Ebrahim Ahmadizadeh
Project Tester
Dennis C. Ebersole
Principal Investigator
Gometry
I.
Dimensional
A. The transporters are 53 ft long, 102 in wide and 13 ft 6 in high. Most of the
transporter is divided into two decks with space for two cars on the upper deck. The
upper deck is 61 in high in transporters that haul both racecars and trucks, and 55 in
high when built to carry only cars.
1. Assume the transporter is a perfect rectangular solid (it’s not, as you can see from
the picture). What would the volume of the transporter be?
6081.75 cu ft
10,509,264 cu in
B. Talladega Superspeedway has a 32,400 sq ft garage for Sprint Cup racing, with 62
bays measuring 14 ft by 24 ft, plus a 23,250 sq ft garage for Nationwide and Camping
World races with 68 bays measuring 12 ft by 21 ft.
1. What is the area of a bay in the Sprint Cup garage?
336 sq ft
2. What is the total area of all 62 bays in the Sprint Cup garage?
20,832 sq ft
3. If the total area of the garage is 32,400 square feet how much area is unused by
the 62 bays?
11,568 sq ft
4. What is the area of a bay in the Nationwide and Camping World garage?
252 sq ft
5. What is the total area of all 68 bays in the Nationwide and Camping World
garages?
17,136 sq ft
NASCAR QR – Lab C - 2
C. Texas Motor Speedway has seating for 112,522 in its front grandstand. The
grandstand was constructed with 2,000,000 lb of aluminum and 15,000 tons of steel.
There are other spectator areas around the speedway, including room for
approximately 53,000 people in the infield. Two tunnels provide access to the infield.
The north tunnel has two lanes, each 12 ft wide and 8.5 ft high. The south tunnel has
three lanes, each 12 ft wide and 13.5 ft high. 1
1. If the north tunnel is rectangular, what is the area of a cross section of the tunnel?
204 sq ft
2. If the south tunnel is rectangular, what is the area of a cross section of the tunnel?
486 sq ft
D. Every racetrack has a pit road (or in the case of Bristol Motor Speedway, two pit
roads, one 594 feet long and one 567 feet long) where drivers refuel and make
adjustments to their cars during a race. The stalls are assigned to the drivers based on
their qualifying results. Talladega’s pit road has a total length of 1.730 feet. It has 47
stalls measuring 32 ft by 18 ft with areas behind the walls of each stall measuring 30
ft by 21 ft. At Martinsville Speedway, pit road is 46 ft wide and has 43 stalls, 14 ft
wide and 28 ft long.2
1. What is the area of one of the stalls on Talladega’s pit road?
576 sq ft
2. What is the total area of all 47 stalls on Talladega’s pit road?
27,072 sq ft
3. What is the area of the area behind a stall on Talladega’s pit road?
630 sq ft
4. What is the area of one of the stalls on Martinsville’s pit road?
392 sq ft
5. What is the total area of all 43 stalls on Martinsville’s pit road?
16,856 sq ft
NASCAR QR – Lab C - 3
E. The length and width of pit road differs from one track to the next. At Daytona, pit
road is 1,600 feet long and 50 feet wide.3 Pit road at Homestead Miami Speedway is
also 50 feet wide but has a length of 1,900 feet.4 Darlington Raceway’s pit road is
2,025 feet long and 46 feet wide.5 The pit road at Dover Speedway is 1,150 feet long
and 43 feet wide. 6 Assume that pit road at each track really is a perfect long, narrow
rectangle (which is generally not the case).
1. What is the area of pit road at Daytona?
80,000 sq ft
2. What is the area of pit road at Homestead?
95,000 sq ft
3. What is the area of pit road at Darlington?
93,150 sq ft
4. What is the area of pit road at Dover?
49,450 sq ft
NASCAR QR – Lab C - 4
Arithmetic
I.
Operations
A. The transporters are 53 ft long, 102 in wide and 13 ft 6 in high. Most of the
transporter is divided into two decks with space for two cars on the upper deck. The
upper deck is 61 in high in transporters that haul both racecars and trucks, and 55 in
high when built to carry only cars.
1. If the height of the two-deck transporter is 13 feet 6 inches, how high is the lower
deck in the transporter that hauls both cars and trucks?
101 in
8 ft 5 in
≈ 8.417 ft
2. If the height of the two-deck transporter is 13 feet 6 inches, how high is the lower
deck in the transporter that hauls only cars?
107 in
8 ft 11 in
≈ 8.917 ft
B. Talladega Superspeedway has a 32,400 sq ft garage for Sprint Cup racing, with 62
bays measuring 14 ft by 24 ft, plus a 23,250 sq ft garage for Nationwide and Camping
World races with 68 bays measuring 12 ft by 21 ft.
1. The total area of the garage is 23,250 square feet, how much area is not taken up
by the 68 bays?
6114 sq ft
2. How much larger is the Sprint Cup garage bay compared to the
Nationwide and Camping World garage bays?
84 sq ft
3. What is the area of a bay in the Sprint Cup garage in square meters?
31.215 sq m
4. What is the area of a bay in the Nationwide and Camping World garages in square
meters?
23.412 sq m
NASCAR QR – Lab C - 5
C. Talladega has grandstand seating for 143,231 people. The track’s infield area is 212
acres. Bristol Motor Speedway has a seating capacity of 160,000 and an infield area
of around 10 acres. Daytona has a capacity of 168,000 and an infield of 180 acres,
including a 29-acre lake.7 Auto Club Speedway in California has an infield of 130.7
acres. 280,000 lb of aluminum was used to construct seating for 92,100 fans. 8
1. How much larger is the seating capacity at Bristol than at Talladega?
16,769
2. How much larger is Talladega’s infield than Auto Club Speedway’s infield?
81.3 acres
3. Daytona’s infield measures 180 acres including a 29-acre lake. How much of the
infield is not lake?
151 acres
D. The grandstands at Chicagoland Speedway, which seat 75,000 people, are 2,480 ft
long. The track’s infield has a maximum length of 2,850 ft and maximum width of
1,200 ft. The garages cover an area of 11,050 square feet. The infield also houses a
media center of 3,500 square feet.9
1. What is the length of the grandstand in meters?
756.4 m
2. How much larger is the maximum length than the maximum width of the infield?
1,650 ft
NASCAR QR – Lab C - 6
E. Every racetrack has a pit road (or in the case of Bristol Motor Speedway, two pit
roads, one 594 ft long and one 567 ft long) where drivers refuel and make
adjustments to their cars during a race. The stalls are assigned to the drivers based on
their qualifying results. Talladega’s pit road has a total length of 1,730 ft. It has 47
stalls measuring 32 ft by 18 ft with areas behind the walls of each stall measuring 30
ft by 21 ft. At Martinsville Speedway, pit road is 46 ft wide and has 43 stalls, 14 ft
wide and 28 ft long.10
1. What is the difference in length between Bristol’s two pit roads?
27 ft
2. What is the total length of Bristol’s two pit roads?
1,161 ft
3. What is the difference in total length between Bristol’s two pit roads and
Talladega’s pit road?
569 ft
4. Which one is larger, a stall on pit road at Talladega or at Martinsville? How
much larger?
Talladega
184 sq ft larger
F. The length and width of pit road differs from one track to the next. At Daytona, pit
road is 1,600 feet long and 50 feet wide.11 Pit road at Homestead Miami Speedway is
also 50 feet wide but has a length of 1,900 feet.12 Darlington Raceway’s pit road is
2,025 feet long and 46 feet wide.13 The pit road at Dover Speedway is 1,150 feet long
and 43 feet wide. 14 Assume that pit road at each track really is a perfect long, narrow
rectangle (which is generally not the case).
1. How much longer is pit road at Darlington than at Daytona?
425 ft
2. How much longer is pit road at Homestead than at Dover?
750 ft
3. How much wider is pit road at Daytona than at Darlington?
4 ft
4. How much wider is pit road at Homestead than at Dover?
7 ft
NASCAR QR – Lab C - 7
II.
Conversions
A. The transporters are 53 ft long, 102 in wide and 13 ft 6 in high. Most of the
transporter is divided into two decks with space for two cars on the upper deck. The
upper deck is 61 in high in transporters that haul both racecars and trucks, and 55 in
high when built to carry only cars.
1. How many feet wide is the transporter?
8 ft 6 in
8.5 ft
2. How many inches high is the transporter?
162 in
3. Convert 61 inches to feet.
5 ft 1 in
≈ 5.083 ft
4. Convert 55 inches to feet.
4 ft 7 in
≈ 4.583 ft
B. Talladega has grandstand seating for 143,231 people. The track’s infield area is 212
acres. Bristol Motor Speedway has a seating capacity of 160,000 and an infield area
of around 10 acres. Daytona has a capacity of 168,000 and an infield of 180 acres,
including a 29-acre lake.15 Auto Club Speedway in California has an infield of 130.7
acres. 280,000 lb of aluminum was used to construct seating for 92,100 fans. 16
1. What is the measurement in square meters of Talladega’s infield?
857,933.561 sq m
2. What is the measurement in square meters of Auto Club Speedway’s infield?
528,924.134 sq m
3. Convert 280,000 pounds to kilograms.
127,120 kg
NASCAR QR – Lab C - 8
C. The grandstands at Chicagoland Speedway, which seat 75,000 people, are 2,480 feet
long. The track’s infield has a maximum length of 2,850 feet and maximum width of
1,200 feet. The garages cover an area of 11,050 square feet. The infield also houses
a media center of 3,500 square feet.17
1. What is the area of the garage in square meters?
1,026.579 sq m
2. What is the area of the media center in square meters?
325.160 sq m
D. Texas Motor Speedway has seating for 112,522 in its front grandstand. The
grandstand was constructed with 2,000,000 pounds of aluminum and 15,000 tons of
steel. There are other spectator areas around the speedway, including room for
approximately 53,000 people in the infield. Two tunnels provide access to the infield.
The north tunnel has two lanes, each 12 feet wide and 8.5 feet high. The south tunnel
has three lanes, each 12 feet wide and 13.5 feet high.18
1. Convert 2,000,000 pounds to tons.
1,000 tons
2. Convert 15,000 tons to pounds.
30,000,000 lb
3. Convert 2,000,000 pounds to kilograms.
908,000 kg
4. Convert 15,000 tons to kilograms.
13,620,000 kg
NASCAR QR – Lab C - 9
III.
Ratios & Proportions
A. Talladega has grandstand seating for 143,231 people. The track’s infield area is 212
acres. Bristol Motor Speedway has a seating capacity of 160,000 and an infield area
of around 10 acres. Daytona has a capacity of 168,000 and an infield of 180 acres,
including a 29-acre lake.19 Auto Club Speedway in California has an infield of 130.7
acres. 280,000 lb of aluminum was used to construct seating for 92,100 fans. 20
1. What is the ratio of the area of the lake to the area that is not lake?
29 : 151
2. What is the ratio of Bristol’s infield to Daytona’s infield?
1 : 18
B. The grandstands at Chicagoland Speedway, which seat 75,000 people, are 2,480 feet
long. The track’s infield has a maximum length of 2,850 feet and maximum width of
1,200 feet. The garages cover an area of 11,050 square feet. The infield also houses
a media center of 3,500 square feet.21
1. What is the ratio of the area of the garage to the area of the media center?
221 : 70
1
http://www.texasmotorspeedway.com/content/Track-Facts.aspx
http://www.martinsvillespeedway.com/About-The-Track/About-The-Track.aspx
http://www.daytonainternationalspeedway.com/News/Track-Facts.aspx
4
http://www.homesteadmiamispeedway.com/Track-Info/Track-Facts.aspx
5
http://www.darlingtonraceway.com/track_info/about_darlington/
6
http://www.doverspeedway.com/track/records.php
7
http://origin.daytonainternationalspeedway.com/News/Track-Facts.aspx
8
http://www.autoclubspeedway.com/Track-Info/Track-Facts.aspx
9
http://www.chicagolandspeedway.com/About-Us/Track-Facts.aspx
10
http://www.martinsvillespeedway.com/About-The-Track/About-The-Track.aspx
11
http://www.daytonainternationalspeedway.com/News/Track-Facts.aspx
12
http://www.homesteadmiamispeedway.com/Track-Info/Track-Facts.aspx
13
http://www.darlingtonraceway.com/track_info/about_darlington/
14
http://www.doverspeedway.com/track/records.php
15
http://origin.daytonainternationalspeedway.com/News/Track-Facts.aspx
16
http://www.autoclubspeedway.com/Track-Info/Track-Facts.aspx
17
http://www.chicagolandspeedway.com/About-Us/Track-Facts.aspx
18
http://www.texasmotorspeedway.com/content/Track-Facts.aspx
19
http://origin.daytonainternationalspeedway.com/News/Track-Facts.aspx
20
http://www.autoclubspeedway.com/Track-Info/Track-Facts.aspx
21
http://www.chicagolandspeedway.com/About-Us/Track-Facts.aspx
2
3
NASCAR QR – Lab C - 10
Laboratory D
Question Reservoir
With Answers
Mathematical Voyage
The Dimensions Program
NASCAR Project
X – Miles
Figure 2 NASCAR 2010 Sprint Cup Series Track Locations
Courtesy of Mustang6172
Project Grant Team
Prof. Jeanne Bowman
Project Designer
Patricia L. Hirschy
Principal Investigator
John S. Pazdar
Program Director
Prof. Ebrahim Ahmadizadeh
Project Tester
Dennis C. Ebersole
Principal Investigator
Gometry
I.
Dimensional
A. Talladega, the longest track used for Sprint Cup racing in 2009, is a 2.66 miles long
superspeedway. Its frontstretch is 4,300 feet long with a backstretch 4,000 feet in
length. The track itself is 48 feet wide.
1. If the frontstretch really was an exact rectangle 4,300 feet long and 48 feet wide
(actually it is a curved segment of track) what would be the area of the
frontstretch ?
206,400 sq ft
Arithmetic
I.
Operations
A. Some tracks like Martinsville Speedway (0.526 miles) and Bristol Motor Speedway
(0.533 miles) are classified as short. Nashville (1.333 miles), Darlington Raceway
(1.366 miles), Lowe’s Motor Speedway in Charlotte (1.5 miles), and Atlanta Motor
Speedway (1.54 miles) are examples of intermediate tracks. Daytona (2.5 miles) and
Talladega (2.66 miles) are classified as superspeedways.1
1. What is the difference between the lengths of Nashville and Darlington Raceway
in miles?
0.033 mi
2. What is the difference between the lengths of Darlington Raceway and Lowe’s
Motor Speedway in miles?
0.134 mi
3. What is the difference between the lengths of Daytona and Talladega in miles?
0.16 mi
4. What is the difference between the lengths of Talladega and Martinsville
Speedway in miles?
2.134 mi
NASCAR QR – Lab D - 2
B. Turn 4 at Talladega Superspeedway has 33° banking. The frontstretch has 16.5°
banking while the backstretch is banked at 2°
1. What is the difference between the banking at Turn 4 and the frontstretch
banking?
16.5°
2
What is the difference between the banking at Turn 4 and the backstretch
banking?
31°
3. What is the difference in the frontstretch banking and the backstretch banking?
14.5°
C. Martinsville Speedway has a symmetric oval shape. The frontstretch and backstretch
are 800 feet long with no banking. The turns measure 588 feet with 12° banking.
The track is 55 feet wide. The record time for one lap at Martinsville is Tony
Stewart’s 19.306 seconds. Darlington Raceway’s Turns 1 and 2 are banked at 25°
with a track that is 79 feet wide. Turns 3 and 4 are banked at 23° with a 62-ft. wide
track. The frontstretch is 1,229 feet long and 90 feet wide with only 3° of banking
while the backstretch has the same length and width but is banked at 2°.2
1. What is the total length of the frontstretch and backstretch at Martinsville?
1,600 ft
2. What is the total length of the frontstretch and backstretch at Darlington?
2,458 ft
3. How much longer is the frontstretch at Darlington than the frontstretch at
Martinsville?
429 ft
4. How much wider is the frontstretch at Darlington than the frontstretch at
Martinsville?
35 ft
5. How much wider is Darlington’s Turn 1 than Darlington’s Turn 3?
17 ft
6. How much wider is Darlington’s frontstretch than its Turn 2?
11 ft
NASCAR QR – Lab D - 3
D. The 2.5-mile Pocono Raceway has three distinct sides with different distances: The
frontstretch is 3,740 feet long. The backstretch is 3,055 feet long. The third side, the
shortstretch, measures 1,780 feet.3
1
What is the total length of the three sides of the track?
8,575 ft
2. What is the difference in length between the longest and shortest sides of the
track?
1,960 ft
3. What is the difference in length between the frontstretch and the backstretch?
685 ft
4. What is the difference in length between the backstretch and the shortstretch?
1,275 ft
NASCAR QR – Lab D - 4
E. Kentucky Speedway is 1.5 miles long and 70 feet wide, with a 12-foot shoulder. The
curved ends of the track have a radius of 703.92 feet. The four turns are banked 14°.
The total distance covered by Turns 1 and 2 is 2,349.8 feet while Turns 3 and 4 cover
a total of 2,308.13 feet. The backstretch is 1600 feet long with 4° banking. The total
length of the front straightaway is 1,662 feet and consists of three parts: the apex, or
curved part, and two chutes, one leading from the start/finish line to the first turn, and
one from the fourth turn back to the start/finish line. The apex is 300 feet long with
10° of banking. The chutes on the front straightaway are each 681 feet long with 8°
of banking.4
1. What is the radius of the curved ends rounded to the nearest foot?
704 ft
2. What is the distance covered by Turns 1 and 2 rounded to the nearest foot?
2,350 ft
3. What is the distance covered by Turns 3 and 4 rounded to the nearest foot?
2,308 ft
4. What is the total distance covered by the four turns?
4,657.93 ft
5. What is the difference in the distance covered by Turns 1 and 2 compared to the
distance covered by Turns 3 and 4?
41.67 ft
6. How much longer is the front straightaway than the backstretch?
62 ft
7. What are the total distances covered by the two front chutes?
1,362 ft
8. What is the difference in length between the apex and one of the chutes on the
front straightaway?
381 ft
NASCAR QR – Lab D - 5
G. Lowe’s Motor Speedway is an intermediate track 1.5 miles long. It has a frontstretch
measuring 1980 feet and a backstretch measuring 1,500 feet. Turns 1 and 2 measure
2400 feet while Turns 3 and 4 are 2,040 feet long. The corners are banked at 24°.
1. How much longer is the frontstretch than the backstretch?
480 ft
2. How much longer is the distance covered by Turns 1 and 2 compared to the
distance covered by Turns 3 and 4?
360 ft
H. Talladega, the longest track used for Sprint Cup racing in 2009, is a 2.66 miles long
superspeedway. Its frontstretch is 4,300 feet long with a backstretch 4,000 feet in
length. The track itself is 48 feet wide.
1. How much longer is the frontstretch than the backstretch?
300 ft
I. Watkins Glen covers 2.45 miles for the short course and 3.37 miles for the long
course. The width of the track varies from 36 feet to 48 feet with an average width of
38 feet.
1. How much longer is the long course than the short course in miles?
0.92 mi
2. How much longer is the long course than the short course in feet?
4,857.6 ft
3. What is the difference between the greatest and least track widths?
12 ft
4. What is the difference between the greatest track width and the average track
width?
10 ft
5. What is the difference between the average track width and the least track width?
2 ft
NASCAR QR – Lab D - 6
J. The Sharpie 500 at the 0.533 miles Bristol Motor Speedway has a length of 500 laps,
not 500 miles. Phoenix International Raceway’s Subway Fresh Fit 500 covers 312
laps on its one-mile course for a distance of approximately 500 km.
1. How many miles long is the Sharpie 500 race (500 laps on a track 0.533 miles
long)?
266.5 mi
2. Which race is longer, the Sharpie 500 or the Subway Fresh Fit 500? How much
longer?
Subway Fresh Fit 500 (45.5 mi ≈ 73.255 km)
K. The Kobalt Tools 500 at the 1.54 mile Atlanta Motor Speedway and the Samsung 500
at 1.5 mile Texas Motor Speedway both cover a distance of 500.5 miles but the
number of laps driven is not the same because of the lengths of the tracks.
1. How many laps long is the Kobalt Tools 500?
325
2. How many laps long is the Samsung 500?
333 2/3 ≈ 334
L. At Talladega, the Aaron’s race 499 runs for 188 laps on the 2.66 miles track. The
actual race distance is therefore more than 499 miles (and 187 laps would have been
less than 499 miles).
1. What is the actual distance covered in 188 laps during the Aaron’s 499?
500.08 mi
2. What is the distance covered by 187 laps at Talladega?
497.42 mi
M. The highest NASCAR qualifying speed at 1.5 mile Las Vegas Motor Speedway was
Kasey Kahne’s 184.856 mph in 2007 while the race record was 146.554 mph, set in
1998 by Mark Martin.
1. How much faster was the record qualifying speed compared to the race record
speed?
38.302 mph
2. Driving at the record qualifying speed, how long in minutes does it take to
complete one lap at Las Vegas Motor Speedway?
0.487 min
NASCAR QR – Lab D - 7
II.
Conversions
A. Some tracks like Martinsville Speedway (0.526 miles) and Bristol Motor Speedway
(0.533 miles) are classified as short. Nashville (1.333 miles), Darlington Raceway
(1.366 miles), Lowe’s Motor Speedway in Charlotte (1.5 miles), and Atlanta Motor
Speedway (1.54 miles) are examples of intermediate tracks. Daytona (2.5 miles) and
Talladega (2.66 miles) are classified as superspeedways.5
1. What is the length of Bristol Motor Speedway in feet?
2,814.24 ft
2. What is the length of Bristol Motor Speedway in meters?
858.343 m
3. What is the length of Martinsville Speedway in feet?
2,777.28 ft
4. What is the difference between the lengths of Martinsville Speedway and Bristol
Speedway in feet?
36.96 ft
5. What is the difference between the lengths of Martinsville Speedway and Bristol
Speedway in miles?
0.007 mi
6. What is the difference between the lengths of Daytona and Talladega in meters?
265.6 m
7. What is the difference between the lengths of Talladega and Martinsville
Speedway in feet?
11,267.52 ft
B. The 2.5-mile Pocono Raceway has three distinct sides with different distances: The
frontstretch is 3,740 feet long. The backstretch is 3,055 feet long. The third side, the
shortstretch, measures 1,780 feet.6
1. What is the length of the frontstretch in meters?
1,140.7 m
2. What is the length of the backstretch in meters?
931.775 ft
3. What is the length of the shortstretch in meters?
542.9 m
NASCAR QR – Lab D - 8
C. Talladega, the longest track used for Sprint Cup racing in 2009, is a 2.66 miles long
superspeedway. Its frontstretch is 4,300 feet long with a backstretch 4,000 feet in
length. The track itself is 48 feet wide.
1. How much longer, in meters, is the frontstretch than the backstretch?
91.5 m
D. The Sharpie 500 at the 0.533 miles Bristol Motor Speedway has a length of 500 laps,
not 500 miles. Phoenix International Raceway’s Subway Fresh Fit 500 covers 312
laps on its one-mile course for a distance of approximately 500 km.
1. What is the length of Bristol Motor Speedway in kilometers?
0.858 km
2. What is the length of Bristol Motor Speedway in meters?
858.13 m
3. What is the length of Phoenix International Raceway in kilometers?
1.61 km
4. What is the length of Phoenix International Raceway in meters?
1,610 m
5. How many kilometers long is the Sharpie 500 race?
429.065 km
NASCAR QR – Lab D - 9
E. The Kobalt Tools 500 at the 1.54 mile Atlanta Motor Speedway and the Samsung 500
at 1.5 mile Texas Motor Speedway both cover a distance of 500.5 miles but the
number of laps driven is not the same because of the lengths of the tracks.
1. How many kilometers long is the Kobalt Tools 500?
805.805 km
2. What is the length of Atlanta Motor Speedway in feet?
8,131.2 ft
3. What is the length of Atlanta Motor Speedway in meters?
2,480.016 m
4. What is the length of Texas Motor Speedway in feet?
7,920 ft
5. What is the length of Texas Motor Speedway in meters?
2,415.6 m
6. How many feet longer is Atlanta Motor Speedway than Texas Motor Speedway?
211.2 ft
7. How many meters longer is Atlanta Motor Speedway than Texas Motor
Speedway?
64.416 m
NASCAR QR – Lab D - 10
F. The highest NASCAR qualifying speed at 1.5 mile Las Vegas Motor Speedway was
Kasey Kahne’s 184.856 mph in 2007 while the race record was 146.554 mph, set in
1998 by Mark Martin.
1. Driving at the record qualifying speed, how long in seconds does it take to
complete one lap at Las Vegas Motor Speedway?
29.212 sec
2. Driving at the race record speed, how long in minutes does it take to complete one
lap at Las Vegas Motor Speedway?
0.614 min
3. Driving at the race record speed, how long in seconds does it take to complete one
lap at Las Vegas Motor Speedway?
36.846 sec
4. How many seconds longer does it take to complete one lap at the race record
speed compared to the record qualifying speed?
7.634 sec
NASCAR QR – Lab D - 11
III.
Ratios & Proportions
A. Some tracks like Martinsville Speedway (0.526 miles) and Bristol Motor Speedway
(0.533 miles) are classified as short. Nashville (1.333 miles), Darlington Raceway
(1.366 miles), Lowe’s Motor Speedway in Charlotte (1.5 miles), and Atlanta Motor
Speedway (1.54 miles) are examples of intermediate tracks. Daytona (2.5 miles) and
Talladega (2.66 miles) are classified as superspeedways.7
1. What is the ratio of the length of Daytona to the length of Lowe’s Motor
Speedway?
5:3
2. What is the ratio of the length of Lowe’s Motor Speedway to the length of
Daytona?
3:5
B. The 2.5-miles Pocono Raceway has three distinct sides with different distances: The
frontstretch is 3,740 feet long. The backstretch is 3,055 feet long. The third side, the
shortstretch, measures 1,780 feet.8
1. What is the ratio of the length of the backstretch to the length of the shortstretch?
611 : 356
2. What is the ratio of the length of the shortstretch to the length of the frontstretch?
89 : 187
3. If a model of the raceway were built to a scale of 1 : 1000, how long would the
frontstretch in the scale model be?
3.74 ft
4. What is the ratio of the length of the backstretch to the length of the shortstretch?
611 : 356
1
http://www.nascar.com/races/tracks/
http://www.darlingtonraceway.com/track%5Finfo/about%5Fdarlington/
http://www.nascar.com/races/tracks/poc/
4
http://www.kentuckyspeedway.com/trackinfo/trackfacts/track.asp
5
http://www.nascar.com/races/tracks/
6
http://www.nascar.com/races/tracks/poc/
7
http://www.nascar.com/races/tracks/
8
http://www.nascar.com/races/tracks/poc/
2
3
NASCAR QR – Lab D - 12
Laboratory E
Question Reservoir
With Answers
Mathematical Voyage
The Dimensions Program
NASCAR Project
Flags
Figure 3 Opening Ceremonies, Navy Honor Guard
Courtesy of U. S. Air Force
Project Grant Team
Prof. Jeanne Bowman
Project Designer
Patricia L. Hirschy
Principal Investigator
John S. Pazdar
Program Director
Prof. Ebrahim Ahmadizadeh
Project Tester
Dennis C. Ebersole
Principal Investigator
Arithmetic
I.
Operations
A. Usually when a pit stop is called for, the car is refueled and all four tires are replaced, which
takes around 13 or 14 seconds. The gas man fills the fuel cell using two 12-gallon containers
weighing around 81 lb each.
1. What is the total weight of the two gas containers?
162 lb ≈ 73.548 kg
B. The winning average speeds for a race can vary considerably from year to year and
from track to track. Table 1 shows the speeds at Darlington Raceway (1.366 miles
long)1, the Aaron’s 499 at Talladega Superspeedway (2.66 miles long)2, and Infineon
Raceway (1.99 miles long)3, which is a road course.
Table 1
Year
Darlington
Talladega
Infineon
2005
123.031 mph
146.904 mph
71.012 mph
2006
135.127 mph
142.891 mph
72.845 mph
2007
124.383 mph
154.167 mph
73.953 mph
2008
140.350 mph
157.409 mph
74.547 mph
2009
119.691 mph
147.565 mph
76.445 mph
1. For the years listed, what is the average winning speed at Darlington in miles per
hour?
128.516 mph
2. For the years listed, what is the average winning speed at Talladega in miles per
hour?
149.787 mph
NASCAR – Lab E - 2
3. For the years listed, what is the average winning speed at Infineon Raceway in
miles per hour?
73.760 mph
4. What is the difference between the average winning speed at Talladega and the
average winning speed at Infineon?
76.027 mph
II.
Conversions
A. Usually when a pit stop is called for, the car is refueled and all four tires are replaced, which
takes around 13 or 14 seconds. The gas man fills the fuel cell using two 12-gallon containers
weighing around 81 lb. each.
1. Convert 12 gallons to liters.
45.42 L
2. Convert 12 gallons to quarts.
48 qt
3. Convert 81 pounds to kilograms.
36.774 kg
NASCAR – Lab E - 3
B. The winning average speeds for a race can vary considerably from year to year and
from track to track. Table 1 shows the speeds at Darlington Raceway (1.366 miles
long)4, the Aaron’s 499 at Talladega Superspeedway (2.66 miles long)5, and Infineon
Raceway (1.99 miles long)6, which is a road course.
Table 1
Year
Darlington
Talladega
Infineon
2005
123.031 mph
146.904 mph
71.012 mph
2006
135.127 mph
142.891 mph
72.845 mph
2007
124.383 mph
154.167 mph
73.953 mph
2008
140.350 mph
157.409 mph
74.547 mph
2009
119.691 mph
147.565 mph
76.445 mph
1. What is the length of Darlington Raceway in kilometers?
2.199 km
2. What is the length of Talladega Superspeedway in kilometers?
4.283 km
3. What is the length of Infineon Raceway in kilometers?
3.204 km
NASCAR – Lab E - 4
4. Convert the speeds in miles per hour to kilometers per hour.
Year
Darlington
Talladega
Infineon
2005 197.999 km/hr 236.419 km/hr 114.283 km/hr
2006 217.466 km/hr 229.961 km/hr 117.233 km/hr
2007 200.175 km/hr 248.108 km/hr 119.016 km/hr
2008 225.871 km/hr 253.325 km/hr 119.972 km/hr
2009 192.624 km/hr 237.483 km/hr 123.026 km/hr
5. Convert the speeds in miles per hour to meters per second.
Darlington
Talladega
Infineon
2005 55.000 m/sec 65.672 m/sec 31.745 m/sec
2006 60.407 m/sec 63.878 m/sec 32.565 m/sec
2007 55.604 m/sec 68.919 m/sec 33.060 m/sec
2008 62.742 m/sec 70.368 m/sec 33.325 m/sec
2009 53.507 m/sec 65.967 m/sec 34.174 m/sec
6. Convert the speeds in miles per hour to feet per second.
Year
Darlington
Talladega
Infineon
2005 180.446 ft/sec 215.460 ft/sec 104.151 ft/sec
2006 198.187 ft/sec 209.574 ft/sec 106.840 ft/sec
2007 182.429 ft/sec 226.112 ft/sec 108.465 ft/sec
2008 205.847 ft/sec 230.867 ft/sec 109.336 ft/sec
2009 175.547 ft/sec 216.429 ft/sec 112.120 ft/sec
NASCAR – Lab E - 5
1
http://www.cbssports.com/autoracing/tracks/page/darlington
http://www.cbssports.com/autoracing/tracks/page/talladega (the Aaron’s 499 only)
3
http://www.cbssports.com/autoracing/tracks/page/searspoint
4
http://www.cbssports.com/autoracing/tracks/page/darlington
5
http://www.cbssports.com/autoracing/tracks/page/talladega (the Aaron’s 499 only)
6
http://www.cbssports.com/autoracing/tracks/page/searspoint
2
NASCAR – Lab E - 6