Question

if a bicycle is traveling at 36km/h and the diameter of the wheel of the bicycle is 500mm determine the angular velocity of the wheel of the bicycle and the linear velocity of a point on the rim of one of the wheels

Answer 1

36km/hr = 10m/s = 10,000 mm/s
the circumference of the wheel is 500π mm
so it is turning at a frequency of f=10000/500π = 20/π Hz
so the angular velocity is ω=2πf = 40 rad/s