A bicycle with 3-foot diameter wheels is traveling at 5 ft/sec. Find the angular speed of the wheels in radians per second.

Answer 1

circumf of wheel = 3π ft
time for one rotation = 3π/5 seconds

so we have 2π radians per 3π/5 seconds
angular vel = 2π/(3π/5) rads/sec
= 10/3 radians/sec