A hydraulic cylinder producing a force of 2000 lb shows the

A hydraulic cylinder producing a force of 2000 lb shows the following reading Pressure at head end P1 = 378 psi Pressure at rod end P2 = 52 psi Rod diameter d = 0.35 in. Calculate the piston diameter D.

Solution

By force balance

P₁*A₁=P₂*A₂+F

So

378*(÷4)D²=52*(÷4)*(D²-.35²)+2000

Solving

D=2.8inch