The maximum pressure that can be developed for a certain fluid power cylinder is 15.0 MPa. Compute the required diameter for the piston if the cylinder must exert a force of 30 kN.

Tape is to be coated on both sides with glue by drawing it through a narrow gap. The tape is 0.015 in. thick and 1.00 in. wide. It is centered in the gap with a clearance of 0.012 in. on each side. The glue, of viscosity η=0.02 slug/(ft ⋅ s), completely fills the space between the tape and gap. If the tape can withstand a maximum tensile force of 25 lb, determine the maximum gap region through which it can be pulled at a speed of 3 ft/s.

A cylindrical log has a diameter of 450 mm and a length of 6.75 m. When the log is floating in fresh water with its long axis horizontal, 110 mm of its diameter is above the surface. What is the specific weight of the wood in the log?

Benzene at 60°C is flowing in a DN 25 Schedule 80 steel pipe at the rate of 20 L/min. The specific weight of the benzene is 8.62 kN/m³. Calculate the pressure difference between two points 100 m apart if the pipe is horizontal.

Determine the energy loss that will occur if water flows from a reservoir into a pipe with a velocity of 3 m/s if the configuration at the entrance is (a) an inward-projecting pipe, (b) a square-edged inlet, (c) a chamfered inlet, or (d) a well-rounded inlet.

Determine the available NPSH for the system shown below. The fluid is water at 80°C and the atmospheric pressure is 101.8 kPa. The water level in the tank is 2.0 m below the pump inlet. The vertical leg of the suction line is a DN 80 Schedule 40 steel pipe, whereas the horizontal leg is a DN 50 Schedule 40 pipe, 1.5 m long. The elbow is of the long-radius type. Neglect the loss in the reducer. The foot valve and strainer are of the hinged disk type. The flow rate is 300 L/min.