GATE ME 2022 Set 1 — Question 18
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Engineering Mechanics → Statics → Belt, Brake, Clutch & Screw Friction
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Question
A square threaded screw is used to lift a load by applying a force . Efficiency of square threaded screw is expressed as
Correct answer
(A) The ratio of work done by W per revolution to work done by F per revolution
Solution
Efficiency () of any machine is defined as the ratio of useful work output to the total work input.For a screw jack:
- Work Output per revolution: The load is lifted by a distance equal to the lead () of the screw. So, Output Work = .
- Work Input per revolution: The effort force is applied at a certain radius (usually mean radius ) and moves through a distance of in one revolution. So, Input Work = .
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