a hydraulic lift operated by pumping fluid into the hydraulic system. The large

Question

a hydraulic lift operated by pumping fluid into the hydraulic system. The large cylinder is 25 cm in diameter, while the small tube leaving the pump is 1.7 cm in diameter. A total load of 2900 kg is raised 2.1 m at a constant rate. Neglect pressure variations with height, and neglect also the weight of the fluid raised.



(a) What volume of fluid passes through the pump?
m3
(b) What is the pressure at the pump outlet?
atm
(c) How much work does the pump do?
kJ
(d) If the lifting takes 40 s, what is the pump power?
kW

Explanation / Answer

a) volume = pi x r^2 x h r = 1.7 cm h = 2.1 m volume = 1.9 x 10^-3 m3 b) pressure at the pump outlet = 2900 x g / pi x .017^2 = 3.133 x 10^7 pa c) work = f.s = 2900 x g x 2.1 =59742.9 J d) power = work / time = 59742.9 / 40 = 1493.57 or 1.493 kW

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