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Question

Physics Question on simple harmonic motion

The maximum velocity of a particle, executing simple harmonic motion with an amplitude 7 mm, is 4.4 m/s. The period of oscillation is :

A

0.01 s

B

10 s

C

0.1 s

D

100 s

Answer

0.01 s

Explanation

Solution

The maximum velocity of a particle performing SHM is given by v = Aω\omega , where A is the amplitude and ω\omega is the angular frequency of oscillation. 4.4=(7×103)×2π/T\therefore \, \quad 4.4 =\left(7\times10^{-3}\right)\times2\pi/T T=7×1034.4×2×227=0.01s\Rightarrow \, \quad T=\frac{7\times10^{-3}}{4.4}\times\frac{2\times22}{7}=0.01 s