Question

calculate the dimensions 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

Answer 2

Answer:

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