Relation between Mechanical Advantage (MA), Velocity ratio (VR), Efficiency(η) - Explained

Shanmugarajan B
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Relation between Mechanical Advantage (MA), Velocity ratio (VR),  Efficiency(η) - Explained

What is Mechanical Advantage?

Mechanical Advantage is defined as the ratio between Load( L) and Effort(E)

 MA = L / E

What is Velocity ratio?

Velocity ratio is defined as the ratio between distance moved by effort (x) and distance moved by load (y)

 VR = x / y

What is Efficiency?

Efficiency is defined as the ratio between Output and Input

η = Output / Input

Relation:

Work done by effort = Input
                                 = E  x  x 

Work done by load = Output
                               = L  x   y 

η = Output / Input

   = L x y / E x x

   = ( L / E) / ( x / y)

   = L / E is MA and ( x / y) is VR

   = MA / VR

η = MA / VR


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