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Question: A simple harmonic oscillator has a period of 0.01 sec and an amplitude of 0.2 m. The magnitude of th...

A simple harmonic oscillator has a period of 0.01 sec and an amplitude of 0.2 m. The magnitude of the velocity in msec1m\sec^{- 1}{} at the centre of oscillation is

A

20π20\pi

B

100

C

40π

D

100π100\pi

Answer

40π

Explanation

Solution

At centre vmax=aω=a.2πT=0.2×2π0.01=40πv_{\text{max}} = a\omega = a.\frac{2\pi}{T} = \frac{0.2 \times 2\pi}{0.01} = 40\pi