What is the angular speed of a car wheel of diameter 0.400m when the speed of the car is 108km/h?
A) 75 rad/s B) 150 rad/s C) 270 rad/s D) 540 rad/s Identify equation as w=v/r Diameter = 0.4m Radius = half the diameter = 0.2m Velocity needs to be in m/s so 108km/h = 108000m/h = 30m/s (divide by 60 twice). Angular velocity = v/r = 30/0.2 = 150 therefore B is the answer.
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