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Q.

Define angular acceleration and torque. Establish the relation between angular acceleration and torque.

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Detailed Solution

Angular acceleration: The rate of change of angular velocity is called angular acceleration.
α=dwdt
Torque : The rate of change of angular momentum is called torque.
τ=dLdt( or )τ=r¯×F¯
Relation between α and τ :
Consider a rigid body of mass m rotating in a circular path of radius ‘r’ with angular velocity ’w’ about fixed axis by definition τ=dLdt(L=Iw)
τ=d(Iw)dt( where I = moment of inertia) τ=Idwdt dwdt=ατ=

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