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Home / Doubts and Solutions/JEE/Physics

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. Derive the formula for F using the method
of dimensions.
Can you please explain it?

Asked by Shanthiswaroop Srinivas 25th May 2017, 11:39 PM
Answered by Expert
Answer:
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.


Answered by Expert 26th May 2017, 10:38 AM
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