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Question

A system of pulleys is used to lift a load of 1000 kg wt. If the velocity ratio efficiencies and the efficiency are 20and 90% respectively, then the effort required to lift the load is ____ N


A

5.6×107

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B

5.6×10-3

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C

5.6×105

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D

560

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Solution

The correct option is D

560


Step 1: Given data

Load=1000kgwt

Efficiency =90%

Velocity ratio = 20

Effort=?

Step 2: Calculations

Efficiency is given by the equation

Efficiency=Mechanicaladvantagevelocityratio0.9=Mechanicaladvantage20Mechanicaladvantage=0.9×20Mechanicaladvantage=18

Where mechanical advantage is defined as the ratio of load to the effort.

Mechanicaladvantage=loadeffortSo,Effort=LoadmechanicaladvantageEffort=1000kgwt18Effort=55.55kgwt

Converting to Newton,

55.5Kgwt=55.5×9.8=544N

Which is nearly equal to 560 N

Hence, option(d) is correct


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