A hydraulic press has a safety feature which consists of a hydraulic cylinder wi

Question

A hydraulic press has a safety feature which consists of a hydraulic cylinder with a piston at one end and a safety valve at the other. The cylinder has a radius of 0.0240 m and the safety valve is simply a 0.00700-m radius circular opening at one end, sealed with a disk. The disk is held in place by a spring with a spring constant of 900 N/m that has been compressed 0.0085 m from its natural length. Determine the magnitude of the minimum force that must be exerted on the piston in order to open the safety valve.

Explanation / Answer

F = k x = 900(0.0085) = 7.65 N

P = F1 / A1 = F2 / A2

7.65 / (pi 0.007^2) = F2 / (pi 0.0240^2)

F2 = 89.9 N

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