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CG PET Phase Relations — practice questions

Explore 1 free Phase Relations questions in CG PET Physics. Open each question or exercise to read its content, reference answers and available explanation.

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Phase Relations questions and exercises with answers

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The phase difference between displacement $x$ and velocity $v$ in SHM is:Read the answer and worked solution →

Worked practice questions

The phase difference between displacement $x$ and velocity $v$ in SHM is:

  1. 0
  2. $\pi/4$
  3. $\pi/2$ (velocity leads displacement by $\pi/2$)
  4. $\pi$
Show answer and solution

Correct answer: C. $\pi/2$ (velocity leads displacement by $\pi/2$)

$x = A\sin\omega t$ ⇒ $v = A\omega\cos\omega t = A\omega\sin(\omega t + \pi/2)$. So velocity leads displacement by $\pi/2$ (i.e., $v$ peaks 1/4 period earlier). Acceleration leads velocity by another $\pi/2$, so $a$ is $\pi$ out of phase with $x$.

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