If area (a) velocity(V) and density(d) are base units, then the dimensional

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1

If area (a) velocity(V) and density(d) are base units, then the dimensional formula of force can be represented as

2

Force = Mass × Acceleration…(1)
Mass = Density × volume = density×area×distance = density×area×velocity×time …(2)
Acceleration = velocity / time …(3)
By substituting for mass and acceleration using eqns. (2) and (3) in (1), we get Force = density×area×(velocity)2