Two pistons push down on the fluid filling two cylinders connected by a narrow hose,as shown in the figure.The area A₁ is 1 square inch,and the area A₂ is 10 square inches.A force of 4 pounds is exerted downward on piston 1,as shown.
-The pressure on A₁ in psi is

Question

Two pistons push down on the fluid filling two cylinders connected by a narrow hose,as shown in the figure.The area A₁ is 1 square inch,and the area A₂ is 10 square inches.A force of 4 pounds is exerted downward on piston 1,as shown.

Two pistons push down on the fluid filling two cylinders connected by a narrow hose,as shown in the figure.The area A<sub>1</sub> is 1 square inch,and the area A<sub>2</sub> is 10 square inches.A force of 4 pounds is exerted downward on piston 1,as shown. -The pressure on A<sub>1</sub> in psi is A) 0.25. B) 0.4. C) 4. D) 10. E) 40.

-The pressure on A₁ in psi is

Quizplus · Accepted Answer

Pressure = Force/Area. The force acting on the fluid in the smaller cylinder is 4 pounds, and the area of the smaller piston is 1 square inch. So, the pressure on the smaller piston is 4/1 = 4 psi. By Pascal's law, the pressure at any point in an enclosed fluid is transmitted equally in all directions. Therefore, the pressure on the larger piston is also 4 psi. The area of the larger piston is 10 square inches. So, the force exerted downward on the larger piston is: Force = Pressure x Area = 4 x 10 = 40 pounds. Therefore, the pressure on A₂ in psi is also 4 psi.

Two Pistons Push Down on the Fluid Filling Two Cylinders