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Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli
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A certain hydraulic system is designed to exert a force

Chapter 5, Problem 27PE

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QUESTION:

A certain hydraulic system is designed to exert a force 100 times as large as the one put into it. (a) What must be the ratio of the area of the slave cylinder to the area of the master cylinder? (b) What must be the ratio of their diameters? (c) By what factor is the distance through which the output force moves reduced relative to the distance through which the input force moves? Assume no losses to friction.

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QUESTION:

A certain hydraulic system is designed to exert a force 100 times as large as the one put into it. (a) What must be the ratio of the area of the slave cylinder to the area of the master cylinder? (b) What must be the ratio of their diameters? (c) By what factor is the distance through which the output force moves reduced relative to the distance through which the input force moves? Assume no losses to friction.

ANSWER:

Step-by-step solution Step 1 o f 10 In the hydraulic lift, the pressure is same on the master and the slave cylinder but force changes with the change in cross section area. Pascal’s principle for hydraulic system is,

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