Determine the maximum velocity of the piston rod in a 4 in d

Determine the maximum velocity of the piston rod in a 4 in diameter hydraulic cylinder if the oil flow is through a servo valve with a maximum capacity of 10 gal / min.

Solution

Q = 10 gal/min = 1.336806 ft3/min

dia = 4 in = (4/12) ft

A = pi *d^2 / 4

Q = A*v

v = Q/ A = 1.336806 /(pi/4 *(1/3)^2) =15.3186 ft/min