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The centripetal force of a body …

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The centripetal force of a body moving in circular motion depends upon the radius of circular path , velocity of the body and mass of the body.Derive the formula of centripetal force using the method of dimensions
  • 1 answers

Gaurav Seth 5 years, 8 months ago

The centripetal force F acting on a particle moving uniformly in a circle may depend

upon mass (m), velocity (v), and radius (r) of the circle.

Derivation of the formula for 'F' using the method of dimensions is based on the principle of comparing the dimesions of the

Fundamental unit and the derived formula.

We assign a coffeicient of proportionality 'k' and compare the powers of the similar base (physical quantity)

After getting the values of the powers of the derived formula, we obtain the formula in terms of the mentioned physical quantitites.

 

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