A body is vibrating in simple harmonic motion with an ampli…

Physics Simple Harmonic Motion (Oscillations) Acceleration of Simple Harmonic Motion Single Correct MCQ

Published on: September 12, 2026

A body is vibrating in simple harmonic motion with an amplitude of 0.06 m and frequency of 15 Hz. The velocity and acceleration of body is

5.65 m/s and $5.32 \times 10^{2} m/s^{2}$

6.82 m/s and $7.62 \times 10^{2} \mathrm{m/s^{2}}$

8.91 m/s and $8.21 \times 10^{2} \mathrm{m/s^{2}}$

9.82 m/s and $9.03 \times 10^{2} \mathrm{m/s^{2}}$

Text Solution

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The correct answer is:

Velocity $\mathbf{v} = a \omega = a \times 2 \pi n$

$= 0.06 \times 2\pi \times 15 = 5.65 \text{ m/s}$

Acceleration $\mathbf{A} = \omega^{2} a = 4 \pi^{2} n^{2} a = 5.32 \times 10^{2} \mathrm{m} / \mathrm{s}^{2}$

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