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 cm and frequency 4 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 in SHM is given by \(a_{\text{max}} = \omega^2 A = (2\pi f)^2 A\). Substituting \(f = 4\text{ Hz}\) and \(A = 0.15\text{ m}\), we find \(a_{\text{max}} = (8\pi)^2 \times 0.15 \approx 94.65 \text{ m s}^{-2}\).

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