Homework Assignment 1: Factor Label Conversions
KEY
1. Sketch out a map for both units of distance and units of volume.
Units of Distance
micron
Angstrom
Barleycorns
m
league
fathom
cm
km
inch
bolt
ft
hand
cubit
yard
pole
mile
rods
furlong
chains
Units of Volume
pint
barrel
quart
bushel
Hogshead
gal
peck
kildurkin
farkin
ft
3
yd3
cord
L
mL
Sketch out a path and convert the following….
3. 91.5 chains  Leagues
91.5chains 1furlong 1mile 5280ft 12in 2.54cm 1m
1km 1league
= 0.331 league
1
10chains 8furlong 1mile 1ft
1in
100cm 1000m 5.56km
4. .00432 Hogsheads  Cords
0.00432hogsheads 63gal
1 ft 3 1cord
= 0.000284cords
1
1hogshead 7.5 gal 128 ft 3
5. 16.2 x 104 Barrels  Farkins
16.2 ! 10 4 barrels 3.3bushels 8 gal 1kildurkin 2 farkins
= 475,000 farkins
1
1barrel 1bushel 18 gal 1kildurkin
6. 3.812 Angstroms  Bolts
3.812 Angstroms 10 !10 cm
1in 1 ft 1bolt
= 1.042 " 10 !13 bolts
1
1Angstrom 2.54cm 12in 120 ft
7. 3 x 105 Barleycorns  Rods
3 ! 105 barleycorns
1in
1 ft 1mile 320rods
= 500rods
1
3barleycorns 12in 5280 ft 1mile
8. 16.3 Liters  ml
16.3liters 1000milliliters
= 16,300mL
1
1liter
9. 29 Furlongs  Hands
29 furlongs 1mile 5280 ft 12in 1hand
= 57,000hands
1
8 furlongs 1mile 1 ft 4in
10. 14.23 gallons  Cords
14.23gal 1 ft 3 1cord
= 0.01482cords
1
7.5 gal 128 ft 3
Extra question: What is the speed of light (3.00 x 108 m/sec) in units of furlongs/fortnight?
3.00 ! 10 8 m 100cm 1in 1 ft 1mile 8 furlongs 60 s 60 min 24hours 14days
= 1.80 ! 1012 furlongs / fortnight
s
1m 2.54cm 12in 5280 ft 1mile 1 min 1hour 1day 1 fortnight