Question

Establish a relationship between efficiency, M.A., and V.R.

Answer 1

Let a machine overcome a load L by applying an effort E. In time t, the displacement of effort is d_E, and displacement of load is d_L. Then

Work input = Effort × Displacement of effort = E × d_E

Work output = Load × Diaplacement of load = L × d_L

Efficiency = `("Work output")/("Work input ")=("L" × "d"_"L") /("E" × "d"_"E")=("L"//"E")/("d"_"E"//"d"_"L")`

L / E = M.A. and d_E / d_L = V.R.

Efficiency =`("M.A.")/("V.R.")`

M.A. = V.R. × Efficiency.