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# (a) Verify that work input equals work output for a ISBN: 9780130606204 3

## Solution for problem 28PE Chapter 11

Physics: Principles with Applications | 6th Edition

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Problem 28PE

(a) Verify that work input equals work output for a hydraulic system assuming no losses to friction. Do this by showing that the distance the output force moves is reduced by the same factor that the output force is increased. Assume the volume of the fluid is constant. (b) What effect would friction within the fluid and between components in the system have on the output force? How would this depend on whether or not the fluid is moving?

Step-by-Step Solution:

Step-by-step solution Step 1 of 7 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, Apply this formula to find the required result. Step 2 of 7 (a) Since, the volume of fluid is constant, so the volume displaced by the input force equals the volume displaced by output, Here, is the volume displaced by input force, is the distance moved due to input force, is the cross sectional area of input cylinder. Step 3 of 7 Here, is the volume displaced by output force, is the distance moved due to output force, is the cross sectional area of output cylinder. Step 4 of 7 Since, displaced volume is constant, so . Therefore,

Step 5 of 7

Step 6 of 7

##### ISBN: 9780130606204

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