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,...
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.)
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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,...
A trough is 7 meters long. 1.5 meters wide and 5 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 8 meters long, 1 meters wide, and 2 meters deep. The vertical cross-section...
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.)
(8 points) ). Find the A trough is 7 meters long, 2 meters wide, and 5...
(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...
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...
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...
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...
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...
(1 point) Book Problem 9 A heavy rope, 20 ft long, weighs 0.9 lb/ft and hangs...
(1 point) Book Problem 9 A heavy rope, 20 ft long, weighs 0.9 lb/ft and hangs over the edge of a building 130 ft high a) How much work is done in pulling the rope to the top of the building? Work ft-lb. a) How much work is done in pulling half the rope to the top of the building? Work ft-lb. (1 point) Book Problem 15 An aquarium 10m long, 5m wide, and 9m deep is full of water....
A straight ditch is 100m long and has the cross-section of a semi-circle of radius 1m. The ditch ...
A straight ditch is 100m long and has the cross-section of a semi-circle of radius 1m. The ditch is full of water (density 103kg/m3 ) and we wish to calculate how much work is required to empty the ditch by pumping all the water to the top of the ditch where it can flow out through an overflow pipe. You should take the acceleration due to gravity to be g = 9.8m/s2 . (a) Draw a sketch of the ditch...
3. Bunyip reservoir is 1km long, 100m wide and 25m deep, with a uniform cross-section that is modelled by a curve of the form f(x) ax2 bx +c as shown in Figure 1. 100m (0,0) (100,0) 25m (50,-25) Figu...
3. Bunyip reservoir is 1km long, 100m wide and 25m deep, with a uniform cross-section that is modelled by a curve of the form f(x) ax2 bx +c as shown in Figure 1. 100m (0,0) (100,0) 25m (50,-25) Figure 1: Cross-section of Bunyip Reservoir (a) Find the values of a, b and c, given that the points (0, 0), (50, -25) and (100, 0) lie of the curve. (b) When full, how much water d oes Bunyip reservoir hold (c)...
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...
(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...
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...
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...
(1 point) Book Problem 9 A heavy rope, 20 ft long, weighs 0.9 lb/ft and hangs over the edge of a building 130 ft high a) How much work is done in pulling the rope to the top of the building? Work ft-lb. a) How much work is done in pulling half the rope to the top of the building? Work ft-lb. (1 point) Book Problem 15 An aquarium 10m long, 5m wide, and 9m deep is full of water....
3. Bunyip reservoir is 1km long, 100m wide and 25m deep, with a uniform cross-section that is modelled by a curve of the form f(x) ax2 bx +c as shown in Figure 1. 100m (0,0) (100,0) 25m (50,-25) Figure 1: Cross-section of Bunyip Reservoir (a) Find the values of a, b and c, given that the points (0, 0), (50, -25) and (100, 0) lie of the curve. (b) When full, how much water d oes Bunyip reservoir hold (c)...
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