Accurate positioning of a heavy load is required for a

Question

Question: Accurate positioning of a heavy load is required for a manufacturing process. Total length of 0.5-in. ID hose under pressure between the DCV and cap-end port of the cylinder is 74 in. The cylinder has a 2.5-in. bore and a 1.25-in. rod. It holds the load at a position 6 in. above full retraction. During the manufacturing operation, the load on the cap end of the cylinder varies from 1340 to 9800 lbf . Neglecting leakage in the cylinder and DCV, calculate the change in position of the cylinder during the operation. Bulk modulus for the oil is β = 250,000 psi, and the hose volumetric expansion is given by

?V_l = 0.001 ?P

here, ?Vl = hose volumetric expansion (cm3/ft)

?P = pressure change (psi)