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deduce the relation between torque and angular momentum deduce the relation between torque and angular momentum
Dear StudentLinear momentum = mass * velocitySimilar to this, angular momentum = angular mass (moment of inertia) * angular velocitySo, L = I ωDifferentiating this with respect to time, dL / dt = d (I ω) / dtMoment of inertia is irrespective of the time. Only angular velocity is dependent upon time.So, dL / dt = I dω/dtChange of angular velocity with time = angular acceleration.So, dL / dt = I αBut torque = I α (SeeVishakh Rajendran's answer to What is the relationship between torque and angular acceleration?) torque = I α = dL / dt the rate of change of angular momentum = Torque acting on the bodyThanks
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