On the head side of a hydraulic cylinder, the rod is 1/2 inch in diameter and the piston is 2 inches in diameter. Calculate the force applied while retracting the rod and the speed at which it moves if the operating pressure is 150 psi and the flow rate is 6.5 gpm. Answer is incomplete without units.

Please give a detailed Handwritten solution.

A pumping station wet well operates between 540- and 550-ft elevation. The pump curve is deϐined by the following points: 80 ft at zero ϐlow, 78 ft at 200 gpm, 65 ft at 800 gpm, and 50 ft at 1200 gpm. The pump discharge contains an equivalent of 50 ft of 6-in. pipe. The discharge pipe is 120-ft long and terminates at a splitter box, elevation 570. Using C=100, plot the pump curve and the corrected pump curve. Plot the pump discharge curves at each wet well elevation and for C=100 and C=140. What is the pump ϐlow at the low and high wet well elevations for newand old pipe?

Q(in) is a constant inflow which maintains the water level in the tank. Find the horizontal force needed to hold the tank stationary.  If you could make any notes on steps in the method to make it clearer that would be great too. Thanks in advance!