Question

A body of mass 1kg is made to oscillate on a spring of force constant 16 n/m calculate 1 the angular frequency 2 the frequency of oscillation

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Answer 1

`\omega=r\ rad/s` and
`f=(2)/(\pi)\ Hz`

Step-by-step explanation:

Given that,

Mass of a body, m = 1 kg

Force constant, k = 16 N/m

We need to find the angular frequency and the frequency of oscillation.

(a) The angular frequency of a body is given by :

`\omega=\sqrt{(k)/(m)} \\\\=\omega=\sqrt{(16)/(1)} \\\\=4\ rad/s`

(b) The frequency of oscillation is given by :

`f=(\omega)/(2\pi)\\\\f=(4)/(2\pi)\\\\=(2)/(\pi)\ Hz`

Hence, this is the required solution.