The centripital force(F) acting on a body may depend upon mass of the body (m), radius of the circle (r) and frequency of revolution (v). Derive the formula dimensionally

We know the dimension of force is, F → [M1 L1 T-2]
The dimension of mass is, m → [M1 L0 T0]
The dimension of radius is, r → [M0 L1 T0]
The dimension of frequency is, ν → [M0 L0 T-1]
Let k be the proportionality constant and the relation be,
(k is dimensionless)
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thankyou sir

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