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Question 31164
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Simple Harmonic Motion: Velocity in SHM MCQ

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Velocity in SHMMediumQuestion 31164

Question

A particle in SHM has amplitude 10 cm and frequency 2 Hz. Speed at x = 6 cm is:
  1. A
    32π cm/s
    Correct
  2. B
    16π cm/s
  3. C
    12π cm/s
  4. D
    8π cm/s

Correct answer

32π cm/s

Explanation

ω=2πf=4πω=2πf=4π rad/s and v=ωA2−x2=4π100−36=<strong>32π cm/s</strong>v=ω\sqrt{A^2-x^2}=4π\sqrt{100-36}=<strong>32π\text{ cm/s}</strong>.

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