Question

How many miles would you travel in 2.5 hours if your speed was 170 rpm and your tire diameter was 30 inches?

Answer 1

The distance covered in 2.5 hours is 80100 feet.

Explanation:

The angular speed in radians per second can be obtained as

`\omega =(2\pi N)/(60)rad/sec`

where

N is the revolutions in rpm

Applying the given values we get

`\omega =(2\pi * 170)/(60)=17.8rad/sec`

Thus the speed of the tire is

`V=r* \omega`

where

r = radius of the tire =15 inches = 0.5 feet in the given case

Applying the given values we get

`V=0.5* 17.8=8.9feet/sec`

Thus the distance covered in 2.5 hours is

`Distance=Speed* Time\\\\Distance =8.9* 2.5* 3600=80100feet`