Maximum acceleration in SHM – Rankers Physics
Topic: Oscillation
Subtopic: Equation of SHM

Maximum acceleration in SHM

A body is vibrating with SHM of amplitude \(15\text{ cm}\) and frequency \(4\text{ Hz}\). The maximum value of acceleration is
\(10.65\text{ m s}^{-2}\)
\(80.52\text{ m s}^{-2}\)
\(94.65\text{ m s}^{-2}\)
\(68.52\text{ m s}^{-2}\)

Solution:

The maximum acceleration is given by \(a_{\text{max}} = \omega^2 A = (2\pi f)^2 A\). Substituting \(f = 4\text{ Hz}\) and \(A = 0.15\text{ m}\) gives \(a_{\text{max}} = 4\pi^2 (16)(0.15) \approx 94.65\text{ m/s}^2\).

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