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Question

(i) An effort is applied on the bigger wheel of a gear having 32 teeth. It is used to turn a wheel of 8 teeth. Where is it used?
(ii) A pulley system has three pulleys. A load of 120N is overcome by applying an effort of 50N. Calculate the Mechanical Advantage and Efficiency of this system.

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Solution

(i) In a gear system, the wheel on which effort is applied is called driving gear and other one is called driven gear. If number of teeth are more in driving gear than the driven gear, then we gain in speed.
(ii) Given: E=50N,L=120N,V.R=3 (No. of pulleys in system).
Mechanical Advantage (M.A.) =LoadEffort=12050=2.4
Efficiency =Mechanical AdvantageVelocity Ratio×100%
=2.43×100=2403=80%.

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