A rectangular swimming pool 40 ft long, 20 ft wide, and 14 ft deep is filled with water to a depth of 11 ft. Use an integral to find the work required to pump allthe water out over the top. (Take as the density of water & = 62.41lb/ft*.)%3DWork =Don't forget to enter units

Given The length of pool is l=40 ft. The width of the pool is w=20 ft. The depth of the pool is…

Answered: A rectangular swimming pool 40 ft long,…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter15: Fluid Mechanics

Section: Chapter Questions

Problem 69P

See similar textbooks

Similar questions

Verigy that the SI of hpg is N/m2.
The inside volume of a house is equivalent to that of a rectangular solid 13.0 m wide by 200 m long by 2.75 m high. The house is heated by a forced air gas heater. The main uptake air duct of heater is 0.300 m in diameter. What is the average speed of the duct if it carries a volume equal to that of the house’s interior every 15 minutes?
A 75.0-kg floats in freshwater 3.00% of his volume above water when his are empty, and 5.00% of his volume above water when his lungs are full. Calculate the volume of air inhales—called his lung capacity—in liters. (b) Does lung volume seem reasonable?
The left ventricle of a resting adult's heart pumps blood at a flow rate of 83.0 cm3/s , increasing its pressure by 110 mm Hg, its speed from zero to 30.0 cm/s, and its height by 5.00 cm. (All cumbers are averaged over the entire heartbeat) Calculate the total power output of left ventricle. Note that most of the power is used to increase blood pressure.
A sump pump (used to drain water from be basement of houses built below the water table) is draining a flooded basement at rate of 0.750 L/S, with an output pressure of 3.00105N/m2 . (a) The water enters a hose with a 3.00-cm inside diameter and rises 2.50 m above the pump. What is its pressure at this point? (b) The hose goes over the foundation wall, losing 0.500 m in height and widens to 4.00 cm in diameter. What is the pressure now? You may neglect frictional losses both parts of the problem.
Verify that work input equals work output for a hydraulic system assuming no losses due to fiction. Do this by showing that distance output force moves is reduced by the same factor output force is increased. Assume the volume of the fluid is constant. What effect would friction within the fluid and between components in the system have output force? How would this depend on whether or not fluid is moving?
A circular swimming pool has a diameter of 24 f t, the sides are 5 f t high, and the depth of the water is 4 f t. How much work is required to pump all of the water out over the side? Use the fact that water weighs 62.5 lb/f t3 and g=1. Note: Just set up the integral. Do not evaluate it
2. (6413 #5 p. 351) A water tank is in the shape of a cone with the vertex down (Just like a cone ofice cream). The cone is 15 feet deep and the radius of the top is 10 feet. The cone is full of salt waterwith a density of 63 pounds per cubic foot. Setup, but do not evaluate, an integral which would givethe work done in pumping all the water to a level 4 feet above the top of the cone. The amount ofwork done is 244,125 π foot-pounds.
How much work is required to pump all the water over the top of a full cylindrical task that is 2 m diameter and 7 m height? (Unit of work = Joules, J). specific weight of water = 9.81 kN/m³
How much work is required to pump all the water over the top of a full cylindrical tank that is 4 m in diameter and 7 m high? (Unit of work= Joules, J) Specific weight of water = 9.81 kN/m³
A cylindrical tank, buried on its side, has radius 3 feet and length 10 feet. It is filled completely with water whose weight density is 62.4 lbs/ft3, and the top of the tank is two feet underground. How much work is required to empty the water in the tank to a truck whose tank lies 4.5 feet above the ground?
A water tank has the shape of the bottom half of a sphere with a radius of 4meters. It is currently filled with water to a height of 3 meters, which has a density of1000 kg/m^3(you may use 9.8 m/sec^2 as the acceleration due to gravity).Set up, but do not evaluate, the integral formula to compute the amount of work requiredto empty the tank by pumping all of the water to the top of the tank.(Hint: the cross-section perpendicular to the y-axis which is y meters below the top ofthe tank will be a circle with radius psqrt(16 − y^2).

SEE MORE QUESTIONS

Recommended textbooks for you

Principles of Physics: A Calculus-Based Text

Physics

ISBN:

9781133104261

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

University Physics Volume 1

Physics

ISBN:

9781938168277

Author:

William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:

OpenStax - Rice University

Glencoe Physics: Principles and Problems, Student…

Physics

ISBN:

9780078807213

Author:

Paul W. Zitzewitz

Publisher:

Glencoe/McGraw-Hill

Principles of Physics: A Calculus-Based Text

Physics

ISBN:

9781133104261

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

University Physics Volume 1

Physics

ISBN:

9781938168277

Author:

William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:

OpenStax - Rice University

Glencoe Physics: Principles and Problems, Student…

Physics

ISBN:

9780078807213

Author:

Paul W. Zitzewitz

Publisher:

Glencoe/McGraw-Hill

Physics for Scientists and Engineers: Foundations…

Physics

ISBN:

9781133939146

Author:

Katz, Debora M.

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

A rectangular swimming pool 40 ft long, 20 ft wide, and 14 ft deep is filled with water to a depth of 11 ft. Use an integral to find the work required to pump all the water out over the top. (Take as the density of water & = 62.41lb/ft*.) %3D Work = Don't forget to enter units