The velocity of a simple harmonic oscillator is expressed as

PHYSICS · Single correct · CBSE · Physics · Oscillations · Oscillations

Problem

The velocity of a simple harmonic oscillator is expressed as v=0.40sin⁡(4πt)v = 0.40\sin(4\pi t), with v in meters per second and t in seconds. What is the maximum magnitude of the oscillator’s acceleration? (a) 2.5 m s−22.5\,\text{m}\,\text{s}^{-2} (b) 1.6 m s−21.6\,\text{m}\,\text{s}^{-2} (c) 5.0 m s−25.0\,\text{m}\,\text{s}^{-2} (d) 15.8 m s−215.8\,\text{m}\,\text{s}^{-2}

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