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Question

A block and tackle system has $$5$$ pulleys. If an effort of $$1000N$$ is needed in the downward direction to raise a load of $$4500N$$. Calculate the efficiency of the system.


A
80%
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B
90%
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C
50%
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D
60%
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Solution

The correct option is C $$90\%$$
As we know that efficiency ($$\eta$$) =$$\dfrac{mechanical \ advantage}{velocity \ ratio}$$

Mechanical Advantage(M.A) =$$\dfrac{load}{effort}$$=$$\dfrac{4500}{1000}$$ = 4.5

Velocity Ratio(V.R) = No. of pulleys used = 5

Therefore efficiency $$\eta$$ =$$\dfrac{4.5}{5}$$$$\times$$100% = 90%

Physics

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