2007-12-31 04:59:55 · 15 answers · asked by Will S 1 in Science & Mathematics ➔ Mathematics
In one revolution the wheel has rolled a distance equal to it's circumference, given by:
16*π inches
So the total number of revolutions is:
(5280*12 inches) / (16*π inches per revolution) = 3960/π ≈ 1260.51 revolutions
2007-12-31 05:05:59 · answer #1 · answered by 1,1,2,3,3,4, 5,5,6,6,6, 8,8,8,10 6 · 3⤊ 5⤋
Since there seems to be a lot of confusion, I'll second the answer of 1260.5 revolutions, with a few important assumptions.
Wheel measurements are commonly referring to the diameter of the rim. For the purposes of this problem, I will assume that 16 inches refers to the diameter of the entire wheel (from the axle to the outer surface that contacts the pavement).
So the circumference of the tire is
2*pi*radius = 16*pi inches
since the radius is 8 inches.
Converting this to feet, we have 12 inches per foot, so
(16*pi inches)*(1 foot)/(12 inches) = (16/12)*pi feet = (4/3)*pi feet
This is the total distance the wheel travels in one revolution (since at the end of a revolution, every spot on the circumference of the tire has touched the pavement).
So we have (4/3)*pi feet per revolution
A mile has 5280 feet.
We now solve the equation:
(feet per revolution)*(# of revolutions) = 5280 feet
So
(# of revolutions) = 5280/((4/3)*pi)) = 1260.5
2007-12-31 08:11:12 · answer #2 · answered by jtabbsvt 5 · 1⤊ 2⤋
1260 rev per mile on a wheel with an outside diameter of 16 inches using 22/7 for pi
2007-12-31 05:12:46 · answer #3 · answered by Lee 3 · 0⤊ 3⤋
Do you mean 16" diameter?
Circumference is Pi D, 3.14*16/12 to convert to feet.
One mile is 1760 yards, times 3 to convert to feet.
So: (1760*3)/(3.14*16/12)
5280/4.19 = 1261.3 times
2007-12-31 05:09:51 · answer #4 · answered by Robert S 7 · 0⤊ 4⤋
The dia. is 16 in so the circumference is Pi times
16in or 50.26 in. or 4.19ft. A mile is 5280ft so 5280/4.19 = 1269.14 rev /mile
sorry 5280/4.19 = 1260.14 rev/mile
2007-12-31 05:08:30 · answer #5 · answered by Bernie R 5 · 1⤊ 4⤋
3960
2007-12-31 05:04:28 · answer #6 · answered by Anonymous · 0⤊ 5⤋
im guessing its around 4000 but not sure on exact number
2007-12-31 05:04:14 · answer #7 · answered by Q-tip 1 · 0⤊ 5⤋
1 Mile = 5280 Feet
mult 5280 x 12 = a lime in inches
then div that by 16 (1 rev of the wheel)
good luck
2007-12-31 05:03:47 · answer #8 · answered by jon_mac_usa_007 7 · 0⤊ 5⤋
3960
2007-12-31 05:03:24 · answer #9 · answered by dsi_samw 3 · 0⤊ 6⤋
1317 revolutions
2007-12-31 05:03:24 · answer #10 · answered by Daniel Reji 2 · 0⤊ 6⤋
Do you know what a revolution is???? Just asking, bra.
2007-12-31 05:03:21 · answer #11 · answered by Nikole 2 · 0⤊ 8⤋