Question

A motorcycle tire with a radius of 16 inches rotates at a rate of 150 revolutions per minute (rpm).

a) Find the linear speed of the tire in inches per minute.
b) Find the angular speed of the tire in radians per minute.

Answer 1

Answer: (a)942.85 rad/s

(b) 15,085.71 inches per minute

Explanation:

Given

the radius of tire r=16 inches

N=150 revolution per minute(rpm)

So, the angular speed of the tire
`\omega=2\pi N=2* (22)/(7)* 150=942.85\ rad/minute`

The linear speed of the tire
`v=\omega r`

`v=(6600)/(7)* 16=15,085.71\ \text{inches per minute}`