Question

A truck with 0.750 m radius tires travels at 34.0 m/s. At how many radians per second are the tires rotating? What is this in rpm?

Answer 1

ω = v/r = 34.0 / 0.750 = 45.33 rad/s.

In rpm: f = ω/(2π) = 45.33/(2π) = 7.2167 rev/s → 7.2167 × 60 = 433.0 rpm.

So the tires rotate at 45.33 rad/s, or about 433 rpm.