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A hydraulic lift is to be used to lift a 2500 kg weight by
Chapter 1, Problem 91P(choose chapter or problem)
A hydraulic lift is to be used to lift a \(2500\ kg\) weight by putting a weight of \(25\ kg\) on a piston with a diameter of \(10\ cm\). Determine the diameter of the piston on which the weight is to be placed.
FIGURE P1–91
Equation Transcription:
Text Transcription:
2500 kg
25 kg
10 cm
Questions & Answers
QUESTION:
A hydraulic lift is to be used to lift a \(2500\ kg\) weight by putting a weight of \(25\ kg\) on a piston with a diameter of \(10\ cm\). Determine the diameter of the piston on which the weight is to be placed.
FIGURE P1–91
Equation Transcription:
Text Transcription:
2500 kg
25 kg
10 cm
ANSWER:
Step by step solutionThe above problem is based on Pascal’s law.Pascal's law states that the pressure of a gas orliquid exerts force equally in all directions against the walls of its container. The force ismeasured in terms of force per unit area(F/A).This law is for liquids and gases at rest andneglects the weight of the gas or liquid. Step 1 of 3Express the pressure on the smaller piston .........(1)We know that F=mgHereForce acting on the smaller piston isArea of the smaller piston isWeight on the smaller piston isAcceleration due to gravity is\n Calculating the area of the smaller pistonHere diameter of the smaller piston is