Question

A body of mass mis moving in a circle of
radius & with angular velocity v?
find the
expression for Centerpetal force acting on
it by the method of dimensions
?​

Answer 1

Force depends on mass,velocity and radius

[MLT^-2} = k[M}^a{LT^-1]^b[L]^c

= M^aL^bT^-bL^c

Equating the powers we get,

a=1, b+c=1 and -b=-2 or b=2, therefore c= -1

substituting the values we get

F = mv^2/r

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