Question

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

Answer 1

Explanation:

• Let a machine overcomes a load L by the application of effort E. Let the displacement of effort be dE and the displacement of the load be dL in time t.

↪Work input = effort × displacement of effort

↪Work input = E × dE

↪Work output = load × displacement of load

↪Work output = L × dL

↪Efficiency η = work output / work input

↪η = (L × dL) / (E × dE)

↪ L / E × dL / dE

↪L / E × 1 / (dE / dL)

↪But L / E = M.A.

↪dE / dL = V.R.

↪η = M.A. / V.R.

↪M.A. = V.R. × η

Hence, the mechanical advantage of a machine is equal to the product of its efficiency and velocity ratio.

Answer 2

Answer:

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