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1 A hydraulic pump generates 240W and supplies hydraulic fluid at a rate of 5.1l/min to a linear actuator which has a bore size of 50 mm and a double piston rod diameter of 20mm. If the efficiency of the system is 85%, determine:
(a) The pressure exerted on the piston
(b) The force on the piston
(c) The velocity pf the piston
2 A hydraulic linear actuator with a bore size of 110mm and a piston rod diameter of 30mm is to transmit a force of 8.8kN and move with a velocity of 12m/min.
Determine:
(a) The power in kW
(b) The fluid pressure
(c) The fluid flowrate
3 (i) in a hydraulic system, fluid is pumped at a rate of 36l/min. The diameter of the main supply is 32mm and at the user point, it is 16mm diameter. Determine the velocity through the pipes.
(ii) If the system in (i) drives a 40mm diameter hydraulic actuator, calculate the speed of the actuator in mm/min.
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(Hint Minimization problem -min X1 + X2, s.t. 2X1 + X2 = 12, X1 + 6X2 = 24, 5X1 + 8X2 = 24; X1, X2 = 0).
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