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Question
What is the relation between torque and angular momentum?
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Solution
We have the expression for the magnitude of angular momentum of a rigid body as, L = I ω.
The expression for the magnitude of the torque on a rigid body is, τ = I α.
We can further write the expression for torque as,
`tau = "l"(domega)/(dt) (∴ α = (dω)/dt)`
Where ω is angular velocity and α is angular acceleration.
We can also write the equation,
`tau = (d(Iomega))/(dt)`
`tau = (dL)/(dt)`
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