Problem 1: Problem 1: An axial piston pump delivers 0.002 m3/s at 3300 rpm. It has nine 16-mm diameter pistons arranged on a 135-mm piston circle diameter. Calculate the offset angle for the pump if the volumetric efficiency is 94%. What is the stroke of the cylinder? Show the details of your calculations.
Neatness units and legibility
Problem 2: A pump delivers oil at a rate of Q gpm to the blank end of a 2.2-inch-diameter hydraulic cylinder as shown in the figure. The piston consists of a 0.8-inch-diameter cushion that is 1.15 inch long.
Problem 1: Problem 1: An axial piston pump delivers 0.002 m3/s at 3300 rpm. It has nine 16-mm diameter pistons arranged on a 135-mm piston circle diameter. Calculate the offset angle for the pump if the volumetric efficiency is 94%. What is the stroke of the cylinder? Show the details of your calculations.
Neatness units and legibility
Problem 2: A pump delivers oil at a rate of Q gpm to the blank end of a 2.2-inch-diameter hydraulic cylinder as shown in the figure. The piston consists of a 0.8-inch-diameter cushion that is 1.15 inch long. The cylinder drives a 1200-lb weight which slides on a flat horizontal surface. The coefficient of friction between the weight and the horizontal surface is ??= 0.25. The pressure developed by the cylinder cushion is P2 = 850 psi. Showing the details of your calculations
Find the fluid pressure P1 at the blank end of the piston if the load is moved with an acceleration of 28 ft/s2.
Obtain the flow rate in gpm delivered to the cylinder.
Determine the power delivered by the pump to the cylinder assuming no losses between the pump outlet and the cylinder inlet.
Find the power delivered to the pump if the pump overall efficiency is 90%.
Free-body diagram units and neatness
Problem 3: The following characteristics refer to a hydrostatic transmission operating at pressure of 1475 psi.
Pump Motor
VD =100 cm3 VD = ?
?v = 85 % ?v = 94 %
?m = 90 % ?v = 92 %
N = 1000 rpm N = 600 rpm
Showing the details of your calculations determine the
Displacement of the motor (VD)
Motor output torque
Neatness units and legibility
Bonus Problem: The following data refer to the pressure booster shown in the figure:
Inlet air pressure (P1) = 90 psi
Air piston diameter (D1) = 5 in.
Oil piston diameter (D2) = 1.25 in. Load carrying capacity (F) = 60000 lb
Find the required load piston diameter D3.
Neatness and appropriate units
Show the details of your calculations.
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