Question

(10 pts) Consider a tank as depicted below whose boundary curved is described x?y? by -= 1 and, although not depicted in the picture, has a spout atop that 2 3 extends 1 meter above the top of the tank. Cross sectional slices of this tank, parallel to the ground, are circular. If this tank is full of oil whose density is 700 kg/m3, then how much work is done in pumping this fluid out of the tank through the spout atop? 10 m

Answer 1

-lom 43 W= h = 5.874m Here, Too) Solutions i Work done wr Force x displacement mass xgx displacemen Tr volume x density xgx displacement lg vxdisplacement In-y f = kg/m] tookg/m3 g= 9.8m/s2 Consider a reference point as o and a cylindrical strip of thickness dy. Hence, Volume of Cylmdrical starp = Txidy given 2 - 4 = 2(143) V= 7:2/1+yn dy now, height of a tank is, эс real .522 los h²= 34.5 hz 5.874 m hence, displacement is hoyto se 6.874-y- 5,874 booh W= 700x 9,8X2r (942) (6.874-y) dy 1 (6874 -4 +6.774 5 - 2 Joy 5.874 43102,65 43102.65 40.38 - 17.25 + 154,8 - 99:21] 3393.04 KJ Ang