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Dimensional Analysis

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Question

are mechanical advantage and efficiency {related to machines } physical quantities ,if so what are their dimensional formulas ?

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Solution

Mechanical Advantage = W
F
mechanical advantage is a dimensionless quantity
As dimensional formula for Weight and force are as follows so they will cancel each other Work=M¹L¹T^-2andForce = M ¹L¹T^-2
Efficiency , É³= W/PV
W=M¹L¹T^-2
Velocity = [LT^-1]
Power= M¹L²T^-3
É³= W/PV = [L^-2T¹]

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