Question

using dimension derive the expression for centripetal force acting on an object in circular motion assuming that it depends on mass m of the object velocity v of the object and the radius r of the circular path

Answer 1

Answer:

Dimensions of Force, F=MLT^−2

Dimensions of Velocity, V=LT^−1

Dimensions of mass, M

Dimensions of radius, r=L

Comparing with dimensions of force,

Power of M=1

Power of v=2

Power of r=−1

F=kmv^2/r

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