Calculate the dimensions of force and impulse taking velocity,density and frequency as basic quantities
Happy singh , 7 Years ago
Grade 11
General Physics> Calculate the dimensions of force and imp...
1 AnswersSubhash Kumar Mehta
Last Activity: 7 Years ago
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
Similarly you can find the dimension of Impulse.
Thanks
Regards
Subhash Kumar
St. Xavier's College, Ranchi
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