A hamster running in a wheel of radius 15 cm spins the wheel one revolution in 18 seconds.

Question

a) What is the angular velocity of the wheel? (in radians/sec) 

b) At what linear velocity is the hamster running? (in cm/sec)  

Answer 1

a) ω = 2π/18 = π/9 = 0.349 rad/s;

b) v = ω·r = 0.349·15 = 5.236 cm/s

Answer 2

a) 2π^r / 18 sec, reduce

b) 2π(15) cm / 18 sec, reduce