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Engineering and Tech / Fundamentals of Thermodynamcs 8 / Chapter 3 / Problem 39HP

Fundamentals of Thermodynamcs | 8th Edition | ISBN: 9781118131992 | Authors: Claus Borgnakke, Richard E. Sonntag

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Two hydraulic piston/cylinders are connected with a line.

Chapter 3, Problem 39HP

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QUESTION:

Problem 39HP

Two hydraulic piston/cylinders are connected with a line. The master cylinder has an area of 5 cm2, creating a pressure of 1000 kPa. The slave cylinder has an area of 3 cm2. If 25 J is the work input to the master cylinder, what is the force and displacement of each piston and thework output of the slave cylinder piston?

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QUESTION:

Problem 39HP

Two hydraulic piston/cylinders are connected with a line. The master cylinder has an area of 5 cm2, creating a pressure of 1000 kPa. The slave cylinder has an area of 3 cm2. If 25 J is the work input to the master cylinder, what is the force and displacement of each piston and thework output of the slave cylinder piston?

ANSWER:

Solution 39HP

Step 1 of 5

Here we have to calculate the force and displacement of each piston. Also, we need to calculate the work output of the slave cylinder piston.

Given data,

Area of master cylinder, ${A}_{m}=5{cm}^{2}=5\times{}{10}^{-4}{m}^{2}$

Pressure, $P=1000\ kPa=1000\ \times{}{10}^{3}Pa$

Area of slave cylinder, ${A}_{s}=3{cm}^{2}=3\times{}{10}^{-4}{m}^{2}$

Work input to the master cylinder, ${W}_{m}=25\ J$

To find,

Force on master cylinder, ${F}_{m}=?$

Force on slave cylinder, ${F}_{s}=?$

Displacement of master cylinder piston, $\Delta{}{x}_{m}=?$

Displacement of slave cylinder piston, $\Delta{}{x}_{s}=?$

Work output on the slave cylinder, ${W}_{s}=?$

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