Question

A truck with 0.420-m-radius tires travels at 32.0 m/s. what is the angular velocity of the rotating tires in radians per second? what is this in rev/min?

Answer 1

Angular velocity of the rotating tires can be calculated using the formula,

v=ω×r

Here, v is the velocity of the tires = 32 m/s

r is the radius of the tires= 0.42 m

ω is the angular velocity

Substituting the values we get,

32=ω×0.42

ω= 32/0.42 = 76.19 rad/s

= 76.19×
`(1)/(2\pi) *60` revolution per min

=728 rpm

Angular velocity of the rotating tires is 76.19 rad/s or 728 rpm.