Question

1a. If a 32cm wide tube carrying water at 12 m/s is reduced to a 1cm wide tube, what is the final velocity of the water?

1b. If a hydraulic system as described in class needs to raise the large end (r= 1.8 m) by 1m and apply 120N of Force what distance will the other end need to be depressed if it’s radius is .1m?

Answer 1

uy . considering fluid to be incompresible & non-viscous, Applying equation of continuity for A fluid flowing ALVI = AzV2 AL Az Oth Given, r = 32cm=0.32 m. ALE (0.32)2 = 0.321 m2 M 2 = 1 cm = 0.01 m. A2= π (0.01)2 = 0.000314 m² Also, Vi= 12 m/s 8. From @ AIVI = AzV2 (0.321) (22) (0000314)(V2) 12-12288 mis?
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using Pascal's law for Hydraulic system loo P1 = P2 oo because the volume of blund pushed dow Using Pascal's law for Hydraulic system PI=P2 Also Winput = Woutput Fide= Fz dz di = F2 dg ... ① I F. • Die P2 using in de A2 d2 AL de= T (1,82 1 T(0.1) d = 324 m