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At any instant, the magnitude of the centripetal force on a particle of mass 'm' performing circular motion is given by (ω = angular velocity and v = linear velocity of the particle) ______. -

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Question

At any instant, the magnitude of the centripetal force on a particle of mass 'm' performing circular motion is given by (ω = angular velocity and v = linear velocity of the particle) ______.

Options

  • `(momega^2)/"v"`

  • `(m"v"^2)/omega`

  • `(m^2omega^2)/"v"`

  • mωv

MCQ
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Solution

At any instant, the magnitude of the centripetal force on a particle of mass 'm' performing circular motion is given by (ω = angular velocity and v = linear velocity of the particle) mωv.

Explanation:

Centripetal force F = `(m"v"^2)/r` = mrωmωv (∵ v = rω)

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