The dimensional formula of angular velocity i | vedclass

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Question

(A) Angular velocity $(\omega)$ is defined as the rate of change of angular displacement $(		heta)$ with respect to time $(t)$.Mathematically,$\omega

Vedclass · Accepted Answer

${M^0}{L^0}{T^{-1}}$

Vedclass · Answer

(A) Angular velocity $(\omega)$ is defined as the rate of change of angular displacement $(		heta)$ with respect to time $(t)$.Mathematically,$\omega = \frac{	heta}{t}$.The dimensional formula for angular displacement $(	heta)$ is dimensionless,represented as $[M^0L^0T^0]$.The dimensional formula for time $(t)$ is $[T]$.Therefore,the dimensional formula for angular velocity is $[\omega] = \frac{[M^0L^0T^0]}{[T]} = [M^0L^0T^{-1}]$.

The dimensional formula of angular velocity is

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