A trough is 8 meters long, 1 meters wide, and 2 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 2 meters, and base, on top, of length 1 meters). The trough is full of water (density 1000kgm31000kgm3 ). Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use g=9.8ms2g=9.8ms2 as the acceleration due to gravity.)
A trough is 8 meters long, 1 meters wide, and 2 meters deep. The vertical cross-section...
A trough is 7 meters long. 1.5 meters wide and 5 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 5 meters, and base, on top, of length 1.5 meters). The trough is full of water :). Find the amount of work in joules m3 required to empty the trough by pumping the water over the top. (Note: Use g = 9.8% as the acceleration due to gravity.) (density...
A trough is 9 meters long, 1.5 meters wide, and 3 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 3 meters, and base, on top, of length 1.5 meters). The trough is full of water (density 1000kgm^3). Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use g=9.8ms^2 as the acceleration due to gravity.)
(8 points) ). Find the A trough is 7 meters long, 2 meters wide, and 5 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 5 meters, and base, on top, of length 2 meters). The trough is full of water (density 1000kg/m amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use g = 9.8m/s2 as the acceleration due...
A trough is 7 feet long and 11 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of ?=?10y=x10 from ?=−1x=−1 to ?=1x=1. The trough is full of water. Find the amount of work required to empty the trough by pumping the water over the top. Note: The weight of water is 62 pounds per cubic foot. Your answer must include the correct units. (You may enter lbf or lb*ft for ft-lb.)
9: Problem 7 Previous Problem Problem List Next Problem (1 point) A trough is 10 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y = x8 from x = -1 to x = 1. The trough is full of water. Find the amount of work required to empty the trough by pumping the water over the top. Note: The weight of water is 62 pounds per...
A water trough has a trapezoidal cross section with a height of 1 m and horizontal sides of length 1/2 m, and 1 m. Assume the length of the trough is 10 m. (a) How much work is required to pump 0.001m thick layer of water at a depth of 0.25m to the top of the trough? Show all work. (b) How much work is required to pump all the water out of the trough (to the level of the...
14. A water trough is 8 m long and a cross section that has the shape of isosceles trapezoid that is 6 m wide at the top and 4 m wide at the bottom, and has a height of 1 m. If this trough is being filled at 0.4 m3/min; find the rate of the rise of the water as the function of time in this trough? 15 pts.
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...
Name: 1. A cattle trough has a semi-circular cross section with a height of 1 foot. The length of the trough is 10 feet. The trough is half-full of water. Assume the density of water is 62.4 lb/ft3 (a) (8 points) How much work is required to pump the water out of the trough? (b) (7 points) Determine the total force of the water on a semi-circular face of the trough.
An aquarium 2 m long, 1 m wide, and 1 m deep is full of water (a) Sketch and label a picture of the aquarium. Imaging pumping half the water out of the top: we do NOT pump all the water at once. Instead, think of taking one very small slice of the water and lifting it to the top of the tank. Sketch a rectangular slice of water of thickness Δy. (b) Find the work needed to pump half...