Calculating angular velocity

Question

Calculate the angular velocity in radians per minute of a Ferris wheel 250 feet in diameter that takes 45 seconds to rotate once. Express the answer in terms of pi.

Answer 1

One rotation = 2pi radians

45 seconds = (3/4) minute

 

Angular velocity has units of radians per minute, so divide the radians by the corresponding minutes:

 

Angular Velocity = 2pi/(3/4) = 8pi/3 radians/minute