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in Physics by (49.4k points)

A body of mass ‘m’ is moving with a velocity ‘V” about an axis at a distance of T from the axis. 

1. How is its linear velocity related with angular velocity? 

2. Derive the relation connecting torque and angular momentum.

1 Answer

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1. Relation between linear velocity and angular velocity is \(\vec v = \vec ω \times \vec r\) where V is the linear velocity and co is the angular velocity and r is the radius of rotation.

2. We know \(\vec L = \vec ω \times \vec p.....(1)\)

where, L is angular momentum, r is radius of rotation and p is linear momentum of the particle. Differentiating (1) with respect to time,

Thus torque is rate of change of angular momentum.

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