Question

Tires are rotating at a rate of 18 revolutions per minute. Find the angular speed of the tires in radians per minute.

Answer 1

ω
`=36(\pi rad)/(min)`

Explanation:

the angular speed is the angle rotated by a unit of time, then 1 revolution is equal a 360° = 2πrad, so

ω=
`18(rev)/(min)*2\pi(rad)/(rev)=36(\pi rad)/(min)`

we can only use π/min since rad are dimensionless