Question

b) A hydraulic press (Figure 4) has a small and large piston with diameter of 50 mm and 400 mm, respectively. i) Calculate the force (F2) required to hold the weight of container when the force applied at the small piston is 800 N and both pistons are at the same elevation (h=0). [7 Marks) i) w Compare and discuss the force with pat b () if the height has been lifted three meters. Support your answer with calculations. [5 Marks] F = 800N Az 31 Hydraulic oil SG = 8.70 Figure 4

Answer 1

di = 50 mm 50x10²m -0.05 m da = 400 mm = 400 YIO 3m 0.4m AL ñ di? 4 ; A2 =ña? i) According to Pascal's law, Piz P2 Fize SOON FI pluts AZ =) F2 FxA2 11 Al ñ da 800 x 4 = ax di d² SOOX cd, 2 २ 800 X 0.4 0.052 NT) = 51200 N Cans) CS Scanned with CamScanner

on the right side , will act on right density, d=m W = i) when there is an elevention h an additional weight , w= mg side - mg = Vdg (An)x(0.7x10c A daxbx (700x9.8) iimadv S.G, dg=0.79 - 7x1000 x 9.8) h=3m 2 NI २ ñx 0.4 x 3x 700x 9.8 1 = 2586.16N 3 So F2 +W = Fix Az .: F2 = Fi A2-W AI 2 d2² 800 x da dia 2586.16 800x 0.4 0.05 = 48613. 84 N (Aus) ... The force Fz in part (b) is less than that in peut (a) CS Scanned with CamScanner