Piston 1 in the figure has a diameter of 1.34 cm. Piston 2 has a diameter of 9.4

Question

Piston 1 in the figure has a diameter of 1.34 cm.

Piston 2 has a diameter of 9.41 cm. In the absence of friction, determine the force required on piston 1 necessary to support an object with a mass of 994 kg placed on piston 2. (Neglect the height difference between the bottom of the two pistons, and assume that the pistons are massless).

What is the magnitude of the forceF, required at the end of the handle?

Piston 1 in the figure has a diameter of 1.34 cm. Piston 2 has a diameter of 9.41 cm. In the absence of friction, determine the force required on piston 1 necessary to support an object with a mass of 994 kg placed on piston 2. (Neglect the height difference between the bottom of the two pistons, and assume that the pistons are massless). What is the magnitude of the forceF, required at the end of the handle?

Explanation / Answer

pressure=994*9.8/(pi*(9.41*0.01)^2 /4))=1.4*10^6 N/m^2 so required force=1.4*10^6 *pi*(1.34*.01)^2/4=197.436 N

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