O lvl Phy: Pressure

A hydraulic press has frictionless pistons of diameters 0.01 m and 0.05 m respectively.

(a) Are the points X, Y and Z in the hydraulic press at the same pressure? Give a reason for your answer.

(b) A small piston is fitted to a lever system pivoted at A and a force F is applied at the end of the lever as shown in the figure above. You may neglect the weights of the pistons and the lever.
(i) Calculate the force applied at X, given that the load is 500N.
(ii) Hence calculate F.

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Answer:

(a) Yes, they are at the same pressure. This is because x, y and z are in an enclosed space.


(b) (i)

F_y / 0.05² = F_x / 0.01²

500 / 0.05² = F_x / 0.01²

F_x = 20 N


b) (ii)

Sum of anti-clockwise moments = sum of clockwise moments
20 * 0.02 = F * 0.20
F = 2 N

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