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If the centripetal force is of the form ...

If the centripetal force is of the form `m^a v^b r^c`, find the valus of a,b, and c.

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DimensioN/Ally,
`Force=(mass)&axx(velocity)^bxx(length)^c`
or, ` MLT^-2=M^a(L^bT^-b)L^c=M^aL^(b+c) T^-b`
Equating the exponents of similar quantities,
`a=1, b+c=1, -b=-2`
` or `a=1, b=2, c=-1 or, F=(mv^2)/(r )`
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