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Oscillations — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsOscillations1 Mark
Question
A simple harmonic motion is described by a = -16x where a → acceleration and x is displacement in meter. What is the time period?
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Answer

Acceleration in simple harmonic motion, $a=w^2 x a=-16 x=-w^2 x \Rightarrow w=4$, Time Period, T $=\frac{2\pi}{\text{w}}=\frac{2\pi}{4}=\frac{\pi}{2}$

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