Question

calculate the dimension of force and impulse taking velocity density and frequency as basic quantities

Answer 1

Let we denote velocity=v, density=d, frequency=f

We have Force=[MLT-2]

Let

MLT-2=vadbfc

》MLT-2=[LT-1]a[ML-3]b[T-1]c

》MLT-2=MbLa-3bT-a-c

On comparing the exponents of both sides

》b=1____________(1)

》a-3b=1_________(2)

》a=4

》-a-c=-2________(3)

》c=-2

Hence dimension of force is

[F]=v4d f-2