mechanical power is represented by p=Fu+Av^3d where F is the force,v is the velocity ,A is the area and d - Physics - Units And Measurements

Question

mechanical power is represented by p=Fu+Av^3d where F is the
force,v is the velocity ,A is the area and d is the density check
the dimensional validity of the above equation

Bakul Biswas · Accepted Answer

Dear Student,
P=Fv+Av3ddimensional formula for F=MLT-2v=LT-1A=L2d=ML-3T0now,P=MLT-2LT-1+L2LT-13ML-3T0P=ML2T-3+ML2T-3so,the dimensional formula of power will be ML2T-3
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mechanical power is represented by p=Fu+Av^3d where F is the force,v is the velocity ,A is the area and d is the density.check the dimensional validity of the above equation