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The centripetal force (F) acting on …

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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 capital F using the method of dimension analysis

Posted by Subhojit Sarkar 7 years, 6 months ago

CBSE > Class 11 > Physics

1 answers

Shrejal Gupta 7 years, 6 months ago

F proportional to m^a v^b r^c Then,f=km^a v^b r^c. -(1) Using the dimension of force we get MLT^-2=k[M]^a [LT^-1]^b [L]^c =K M^a L^b T^-b L^c MLT^-2=K M^a L^b+c T^-b Equating both sides a=1 b+c=2 b=2 c=-1 Substituting the value of a,b and c in (1)we get F=km^1 v^2 r^-1 =K mv^2/r F proportional to mv^2/r

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