   Chapter 9, Problem 12P

Chapter
Section
Textbook Problem

A hydraulic jack has an input piston of area 0.050 m2 and an output piston of area 0.70 m2. How much force on the input piston is required to lift a car weighing 1.2 × 104 N?

To determine
The force on the input piston required to lift a car weighing of 1.2×104N .

Explanation
The Pascal’s principle by neglecting any difference in height between the input and output piston is Pin=PoutFin/Ain=Fout/Aout and the output force on the car would be equal to the weight of that car and by rearranging this expression for the input force on the input piston.

Given info: The area of input piston is 0.050m2 , area of the output piston is 0.70m2 , and the weighing of the car is 1.2×104N .

Fin=(AinAout)Wcar

• Ain is area of the input piston.
• Aout is area of the output piston.
• Wcar is weight of the car.

Substitute 0.050m2 for Aout , 0

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