Derive expression for torque
in terms of moment of inertia.
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Answer:
Derive an expression for torque in terms of moment of inertia of body and its angular acceleration. Consider a rigid body rotating about XY-axis under the action of external torque τ. As a result the body possesses the angular acceleration 'α' about the axis of rotation.The torque on a given axis is the product of the moment of inertia and the angular acceleration. The units of torque are Newton-meters (N∙m). torque = (moment of inertia)(angular acceleration) τ = Iα τ = torque, around a defined axis (N∙m)
Answer:
System of Particles and Rotational Motion. Derive an expression for torque in terms of moment of inertia of body and its angular acceleration. Consider a rigid body rotating about XY-axis under the action of external torque τ. As a result the body possesses the angular acceleration 'α' about the axis of rotation.