Question

Displacement is given by y=0.2 sin 50 π t what will be it's angular frequency

Answer 1

The angular frequency of the particle is $50\pi\ rad/s$.

Explanation:

The displacement of the object that is executing SHM is given by :

$y=0.2\ sin(50\pi t)$.........(1)

We need to find the angular frequency of the object.

Solution,

The general equation of object that is executing SHM is given by :

$y=A\ sin\omega t$.........(2)

$\omega$ is the angular frequency

On comparing equation (1) and (2) we get :

$\omega=50\pi$

So, the angular frequency of the particle is $50\pi\ rad/s$. Hence, this is the required solution.

Learn more,

Simple harmonic motion

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