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What is the relation between torque and angular momentum?

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प्रश्न

What is the relation between torque and angular momentum?

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उत्तर

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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Rotational Dynamics
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Motion of System of Particles and Rigid Bodies - Evaluation [पृष्ठ २६२]

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सामाचीर कलवी Physics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 5 Motion of System of Particles and Rigid Bodies
Evaluation | Q II. 6. | पृष्ठ २६२

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