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What is the relation between torque and ...

What is the relation between torque and angular momentum ?

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We have the expression for magnitude of angular momentum of a rigid body as, `L = I omega ` . The expression for magnitude of torque on a rigid body is, `tau = I alpha `
We can further write the express.ion for torque as,
` tau = 1 (d omega )/(dt) " " ( because alpha = (d omega)/(dt) )`
where `omega` is angular velocity and a is angular acceleration. We can also write equation,
`tau = (d(I omega))/(dt)`
` tau = (dL)/(dt)`
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Knowledge Check

  • Angular momentum is

    A
    `vecpxx vecr`
    B
    `vecrxx vecp`
    C
    `(vecr)/(vecp)`
    D
    `vecr.vecp`
  • The relation between torque and angular acceleration is

    A
    `vec tau=(I)/( vec prop)`
    B
    `vecprop=(vectau)/(I)`
    C
    `vecprop=I vectau`
    D
    `vectau=(vec prop)/(I)`
  • The relation between linear and angular velocity is

    A
    `omega=vr`
    B
    `omega=(v)/(r)`
    C
    `omega=(r)/(v)`
    D
    `v=(r)/(omega)`
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