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in a hydraulic system having one small piston connected though a hydrau…

Question

in a hydraulic system having one small piston connected though a hydraulic line to a large piston that has 10 times the area of the small piston, how much pressure would the large piston transmit if 10 pounds of pressure were applied to the small piston?
○ 50 psi
○ 100 psi
○ 25 psi
○ 10 psi

Explanation:

Step1: Recall Pascal's Law

Pascal's Law states that pressure in a hydraulic system is transmitted equally throughout the fluid. So pressure \( P \) is the same at all points in a closed hydraulic system.

Step2: Apply the Law to the Problem

The pressure applied to the small piston is \( P_{small} = 10 \) psi. By Pascal's Law, the pressure transmitted to the large piston \( P_{large} \) will be equal to the pressure on the small piston.

Answer:

D. 10 psi (assuming the last option is D, if the options are labeled as A:50 psi, B:100 psi, C:25 psi, D:10 psi)