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Solved: (a) Verify that work input equals work output for
Chapter 11, Problem 28(choose chapter or problem)
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?
Questions & Answers
QUESTION:
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?
ANSWER:
Solution 28PE:
Step 1 of 5:-
The hydraulic systems are made up of cylinders which move as pistons.
Let’s say the volume of liquid displaced by the pistons be , which is equal for input and output.
The work done is,
-----------------------(1)
Where, is the force and
is the displacement.