A motor car is traveling at a speed of 30 m/s. If its wheel has a diameter of 1.5 m, find its angular speed in rad/s and in rev/s.
Solution
Given
Speed of the car, v = 30 m/s
Diameter of the wheel, d = 1.5 m
Radius of the wheel, r = d/2 = 1.5/2 = 0.75 m
Asked
Angular speed of the wheel ω in rad/s and rev/s.
Formulae
v = rω … (1)
1 rev = 2π rad … (2)
So apply formula (1) to find angular velocity in rad/s.
Apply formula (2) to convert this value to rev/s.
Therefore, the angular velocity is also equal to 6.37 rev/s.
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