Optimally size the Hydraulic servo system that will provide

Optimally size the Hydraulic servo system that will provide 22,000 pounds of force while propelling at 12 inches per second. Use a supply pressure of 2350psi.

Solution

>> Let diameter of hydraulic cylinder = \'d\'

So, Area of Cross Section, A = pi*d²/4

>> As, Pressure, P = 2350 psi

and, Hydraulic Force Required, F = 22,000 pounds

>> As, Force = Pressure*Area

=> 22000 = 2350*pi*d²/4

Simplifying,

d = 3.452 inch .........ANSWER.........................