Find the work done in pumping all of the water out of a conical reservoir of radius 10 feet and height 8 feet. (Assume the reservoir is full and water weighs 62.5 lbs/ft3.
Case 1: The water is pumped to the top of the reservoir and drains away via gravity.
Case 2: The water is pumped to an aqueduct which is 6 feet above the top of the reservoir.
Find the work done in pumping all of the water out of a conical reservoir of...
7 m We model pumping from spherical containers the way we do from other containers, with the axis of integration along the vertical axis of the sphere. Use the figure shown to the right to find how much work it takes to empty a full hemispherical water reservoir of radius 6 m by pumping the water to a height of 7 m above the top of the reservoir Water weighs 9800 N/m? y = - 36-Y? The amount of work...
Pumping a conical tank A right- circular conical tank, point
down, with top radius 5 ft and height 10 ft is filled with a liquid
whose weight-density is 60 lb/ft^ 3 . How much work does it take to
pump the liquid to a point 2 ft above the tank? If the pump is
driven by a motor rated at 275 ft-lb/sec (1/2 hp), , how long will
it take to empty the tank? Must work the integral out by...
2. A conveyor lifts de-icing salt from 3 feet above ground to a height of 17 feet, then drops it, forming a conical pile 14 feet high and 45 feet in diameter. Assume the weight density of the salt is 80 lbs/ft (a) Find the total work done by the conveyor in lifting the salt. (b) Find the total work done by the force of gravity in moving the salt into its conical shape as it drops from the end...
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 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 (Assumer 6, R-12 it, and h 12 ft.) It-b R. frustum of a cone
work step by step!
FINAL EXAM Problem 9: A tank full of water with dimension 20 feet long, 10 feet wide, and 6 feet deep is situated right below the floor of a house. Water from this tank is use through a faucet (outlet) 3 feet above the ground that half of the water is used up in the morning and half is used up in the evening by midnight. Find the work done by the water pump by midnight...
(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....
vious Problem List Next (1 point) A rectangular tank that is 8 feet long, 3 feet wide and 9 feet dee is filled with a heavy iquid that weighs 120 pounds per cubio foot ch patteow, assume that the tank is initially full. Your answers must include the correct units. (You may enter lbfor lb f for ff-lb.) (a) How much work is done pumping all of the liquid out over the top of the tank? (b) How much work...
(10 points) A. (SET UP ONLY) Find the work done in emptying a trough (pictured below) with water only up to % of the height of the trough. (all dimensions in feet and unit weight of water is 62.5 lb per cubic foot). B. (SET UP ONLY) Find the hydrostatic force on one of the ends of the tank. Again, assume water only goes up to a height of % of the height of the trough. 10