Set up but do not evaluate an integral that answers the following question. The following tank...
9. (9 points) Suppose we have a triangular tank full of water. The tank is 2 meters long, half a meter tall and a meter wide (see below). Set up an integral for how much work is done when pumping water out of the top of the tank. Use p for the density of water and g for the acceleration due to gravity. Do not evaluate the integral. 0.5 m 1 m 9. (9 points) Suppose we have a triangular...
A cylindrical shaped gas tank is 12 m tall with base radius to be 3 m. There is a spout on top of the tank with height 0.3 m. Suppose the tank is one-third full. Set up the integral for the work required to pump the gasoline out of the spout. Do NOT compute the integral. Suppose the gasoline density is p= 749 kg/m", and you may use the approximation g 10 m/s2 for gravity. (Requirements: You must show your...
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...
3. (22 points) Consider the tank below with a cylindrical middle and hemispherical bottom and top. Assume that the tank is half full of water. Set up, but DO NOT SOLVE an integral (or integrals) that can be used to determine the work required to pump all of the water out of a spout level with the top of the tank. Note: the density of water is 1000 kg/m3. Make sure to indicate an axis, with 0 marked. In your...
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...
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 weight density of water. Assume r = 3 mand h = 1 m.)
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...
(2) The work required to pump the fluid from a tank (between a units and b units above the bottom of a tank) of constant mass-density p out to a height h above the bottom of the tank is given by W- pg(cross-sectional area at y)(distance fluid at y needs to be lifted) dy where g is the acceleration due to gravity and y is the distance from bottom of the tank. Note: Water has a mass-density of p 10...
The tank shown below is full of water. Using the fact that the density of water is 1000kg/ m 3 , 1000kg/m3, find the work (in joules) required to pump the water out of the outlet. Make sure your answer is correct to within one thousand joules. 6 m 1.5 m
15. [0/1 Points) DETAILS PREVIOUS ANSWERS ROGACALCET4 6.5.020. MY NOTES PRACTICE ANOTHER Calculate the work in joules) required to pump all of the water out of a full tank. Assume a = 14 m, b = 7 m, water exits through the spout <= 1 m, and the density of water is 1,000 kg/m². (Assume that acceleration due to gravity is g = 9.8 m/s2. Round your answer to two decimal places.) 2.76 X * 107) a