Work is equal to the change in gravitational potential.
let's call the base of the tank (0,0)
We need to raise each horizontal cross section to a height of7m
so
We need an expression for r in terms of y
r2= 6y-y2
So
W = π(21y2- (13/3)y3+(1/4)y4| 0->6
W = π(21(36)- (13/3)(216)+ (1/4)1296)
W = 144π
No we need to put in some physics stuff. The whole thing getsmultiplied by g= 9.8)
And 1m3of water weighs about 1000 kg
so we have 144π(9.8)(1000) = 443416 Joules
8. + -/1 points SCalcET8 6.4.024. RMy Notes A tank is full of water. Find the work required to pump the water out of the spout. (Use 9.8 m/s2 for g. Use 1000 kg/m3 as the density of water. Assume r = 9 m and h = 3 m.) Need Help? Read It Talk to a Tutor Show My Work (Optional)
A tank is full of water. Find the work required to pump the water out of the spout. Use the fact that water weighs 62.5 lb/ft^3. (Assume r = 6 ft, R = 12 ft, and h= 21 ft.)A tank is is half full of oil that has a density of 900 kg/m^3. Find the work W required to pump the oil out of the spout. (Use 9.8 m/s^2 for g. Assume r = 15 mand h = 5 m.)
2. (-/2 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following figure. h (a) The tank shown is full of water. Given that the water has a density of 1000 kg/m3, find the work required to pump the water out of the spout. (Assume r = 3 m and h = 1 m. Use 9.8 m/s2 for g.) J (b) What if the tank is half full of oil that has a density of 900 kg/m3? Need...
A tank is half full of a liquid that has a density of 900 kg/m3. Find the work W required to pump the liquid out of the spout. (Use 9.8 m/s2 for g. Assume r = 15 m andh = 5 m.)Please show using integration. Thank you
A tank has a shape of a cone with a radius at the top of 2 m and a height of 5 m. The tank also has a 1 m spout at the top of the tank. The tank is filled with water up to a height of 2 m. Find the work needed to pump all the water out the top of the spout. (Use 9.8 m/s2 for g and the fact that the density of water is 1000...
14. A leaky 10-kq bucket is lifted from the ground to a height of 12 m at a constant speed with a rope that weighs 0.8 kg/m. Initially the bucket contains 36 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 12-m level. Find the work done. (Use 9.8 m/s2 for g.) Evaluate the integral. cind the wwork reauired to pump the water out of the spout. 16. A...
A tank is full of water. Find the work w required to pump the water out of the spout. (Use 9.8 m/s for 9. Use 1000 kg/m as the weight density of water. Assume that = 4 m, 4 m, c = 12 m, and d = m.) W- Enhanced Feedback Please try again. Try dividing the tank into thin horizontal slabs of height Ax. Let x be the distance between each slab and the sout. If the top surface...
Watch Ao no Exor. wwwtybe... w Petty - Wikipedie Oray Eph . I w beyond the bor + 0/1 points Previous Answers WACalcTutBank1 6.7.003a.Tut. My Notes Ask Your Teacher the top of the tank, as shown in the A rectangular tank is full of water, which has a density of 1000 kg/ ml. Find the work in joules) needed to pump all of the water out of the tank through a pipe figure. (Assume that acceleration due to gravity is...
Calculate the work in joules) required to pump all of the water out of a full tank. The distances (a = 8, b = 4, C = 3, and d = 1) are in meters, and the density of water is 1000 kg/m². In the rectangular tank in the figure below, the water exits through the spout. Assume that acceleration due to gravity is g = 9.8 m/s2. Round your answer to three decimal places.) * 106]