Rankers Physics
Topic: Oscillation

If a simple harmonic oscillator has got a displacement of $0.02 \text{ m}$ and acceleration equal to $2 \text{ m/s}^2$ at any time, the angular frequency of the oscillator is equal to: (1992)
$10 \text{ rad/s}$
$0.1 \text{ rad/s}$
$100 \text{ rad/s}$
$1 \text{ rad/s}$

Solution:

Magnitude of acceleration in SHM is $|a| = \omega^2|x|$.\nSubstitute the values: $2 = \omega^2 \times 0.02$.\n$\omega^2 = 100 \implies \omega = 10 \text{ rad/s}$.

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