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Numerical Problem 1:A mass hung from a spring vibrates 15 times in 12 s. Calculate (a) the frequency and (b) time period of the vibration.

Solution

Given

Number of vibrations, n = 15

Time required, t = 12 s

Required

Frequency, f

Time period, T

Frequency, f = n/t, therefore, f = 15/12 = 1.25 Hz

Time period, T = t/n = 12/15 = 0.8 s

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