10.24.12
Tuesday, October 23, 2012
10:00 PM
Homework Quiz 6.1-3
A circle has 27 equally spaced spokes and a radius of 76 feet. Determine the arc
length between 2 adjacent spokes.
Homework Quiz 6.2-1
Evaluate:
for θ in standard position.
6.2-2 The Circular Functions and Their Graphs
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6.2-2 The Circular Functions and Their Graphs
Determining a Number with a Given Circular Function Value:
Use the inverse trig functions to determine this.
Examples:
• Approximate the value of s in the interval
, if
• Find the exact value of s in the interval
, if
• Find the value of s in the interval
, if
• Find the exact value of s in the interval
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, if
Now try p. 581 #56, and 63
Linear and Angular Speed
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Examples:
• Suppose that P is on a circle with radius 15 in., and ray OP is rotating with
angular speed rad/sec.
Find the angle generated by P in 10 sec.
Find the distance traveled by P along the circle in 10 sec.
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Find the linear speed of P in inches per second
• A belt runs a pulley of radius 5 in. at 120 revolutions per min. (rpm)
Find the angular speed of the pulley in radians per second
Find the linear speed of the belt in centimeters per second
• Mars rotates on its axis at the rate of about 0.2552 radian per hr.
Approximately how many hours are in a Martian day?
• Find ω for the hour hand of a clock
• Find ω for a point on the edge of a gyroscope of radius 83 cm, rotating 680
times per minute
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•
times per minute
• The tires of a bicycle have radius 13 in. and are turning at the rate of 215 rpm.
How fast is the bicycle traveling in miles per hour (5280 ft. = 1 mi.)
Now try p. 584 #105
In class: pp. 581-84 #55-110 odd
Homework: Read 6.2 pp. 576-580
MathXL 6.2-2
Homework quiz from in class assignment
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