Derive a relationship between mechanical advantage, velocity ratio and efficiency of a machine.

Explanation

Work input = Effort `xx` displacement of effort
` = E xx d_E`
Work output = Load `xx` displacement of load
` = L xx D_L`
efficiency `= (" work output")/("work inpur") = (L xx d_L)/(E xx d_E ) =((L)/(E )) xx (D_(L))/( d_E))`
[As M.A `= (L )/(E ) and V.R = (d_E)/(d_L)`]
Efficiency ` eta = (M.A)/(V.R)`