derive an expression for angular velocity
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Angular velocity is the rate of change of the position angle of an object with respect to time, so w = theta / t, where w = angular velocity, theta = position angle, and t = time.
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For a rigid body, the angular momentum L is the product of the moment of inertia and the angular velocity:L=Iω. For a point of mass, angular momentum can be expressed as the product of linear momentum and the radius(r):L=mvr.
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