First slide
Dimensions of physical quantities
Question

If force F, velocity v and time T are taken as fundamental units. The dimension of force in the dimensional formula of pressure is________________

Moderate
Solution

[F]=MLT2

[v]=LT1

     [L]=[vT]     [M]=[F]LT2=[F][vT]×T2=Fv1T     Pressure =ML1T2=Fv1TvT1T2=Fv2T2

Thus, in the dimensional formula of pressure, the dimension of force is 1.

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