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Question: Answered & Verified by Expert
A particle executes simple harmonic motion with a period of $8 \mathrm{~s}$ and amplitude $4 \mathrm{~cm}$. Its maximum speed in $\mathrm{cm} / \mathrm{s}$, is
PhysicsOscillationsAIIMSAIIMS 2019 (25 May)
Options:
  • A $\pi$
  • B $\pi / 2$
  • C $\pi / 3$
  • D $\pi / 4$
Solution:
2240 Upvotes Verified Answer
The correct answer is: $\pi$
$T=8 \mathrm{sec} ; A=4 \mathrm{~cm}$
$T=\frac{2 \pi}{\omega}$ or $\omega=\frac{2 \pi}{8}$
or $v_{\max }=A \omega=4 \times \frac{\pi}{4}=\pi \mathrm{cm} \mathrm{s}^{-1}$

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