The wheel of a sports car is suspended below the body of the car by a vertical spring with a spring constant 1.1 x 104 N/m. The mass of the wheel is 14 Kg and the diameter of the wheel is 61 cm. What is the frequency of up-and-down oscillations of the wheel? Regard the wheel as a mass on one end of a spring and regard the body of the car as a fixed support for the other end of the spring.
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The period T of a vertical mass-spring oscillator depends only on the mass and the spring constant, independent of amplitude and acceleration due to gravity. The formula is:
T = 2pi*sqrt(m/k)
T = 2pi*sqrt(14/1.1*10^4) s
T = 0.224 s
The up/down oscillation frequency is
f = 1/T Hz = 4.46 Hz
T = 2pi*sqrt(m/k)
T = 2pi*sqrt(14/1.1*10^4) s
T = 0.224 s
The up/down oscillation frequency is
f = 1/T Hz = 4.46 Hz