What is the angular velocity of a car wheel which diameter is d = 15 mm if the car velocity is of 120 km/h?

First, we change the units of the datas:

v=120 km/h = 120 km/h x 1 h / 3600 s x 1000 m /1 km = 33.333 m / s

d=15 mm = 15x10-3 m

Using the formula of the angular velocity: w=v/r = 33.33 m/s / 15x10-3 m= 2222.22 rad/s

LA

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