A differential cylinder is on one side of the piston area A = 10 cm² and the annular piston surface area on other side is Ap = 5 cm². The stroke length s is 10 cm. The pump delivers 10 L/min and the maximum pressure is 100 bar. Determine the speed of advance (pitch) and return stroke. Determine

Question

A differential cylinder is on one side of the piston area A = 10 cm² and the annular piston surface area on other side is [latex] A_p[/latex] = 5 cm². The stroke length s is 10 cm. The pump delivers 10 L/min and the maximum pressure is 100 bar. Determine the speed of advance (pitch) and return stroke. Determine the time taken to extend and retract the piston and the maximum force which can be attained on extending and retracting. Figure 7.20 shows the hydraulic cylinder.

Accepted Answer

Velocity during advance = [latex]\frac{Q}{A} =\frac{10000}{10} =10[/latex] m/sec

Velocity during retraction = [latex]\frac{Q}{A_p} =\frac{10000}{5} =20[/latex] m/sec

Time for advance = s/v = 100/1000 = 6 sec
Time for retraction = s/v = 100/1000 = 3 sec
Force during advance = P × A = 1000 N × 10 = 10000 N
Force during retard = P × [latex]A_P[/latex] = 1000 N × 5 = 5000 N

Question 7.6: A differential cylinder is on one side of the piston area A ...

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