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Spring Block's Time Period

A body of mas...

Question

A body of mass $1 k g$ is made to oscillate on a spring of force constant $16 N / m .$ Calculate:
1.angular frequency.
2.the frequency of vibration.

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Solution

We have,
$m = 1$ kg, $K = 16$ N/m
$ω = \sqrt{\frac{K}{m}}$ for a S.H.M
$= \sqrt{\frac{16}{1}} = 4$ rad/s

Also,
$ω = 2 π n \Rightarrow n = \frac{ω}{2 π} = \frac{4}{2 π} = \frac{2}{π}$ Hz.
$∴ n = \frac{2}{3.14} = 0.6369$ Hz.

The angular frequency of the body is $4$ rad/s and the frequency of vibration is $0.6369$ Hz.

Hence, this is the answer.

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