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

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

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter14: Fluid Mechanics

Section: Chapter Questions

Problem 125CP: The inside volume of a house is equivalent to that of a rectangular solid 13.0 m wide by 200 m long...

See similar textbooks

Related questions

Q: In the figure, a spring of spring constant 2.80 x 10“ N/m is between a rigid beam and the output…

A: Given : spring constant k=2.80 × 104 N/m Area of input : Ai Area of output : 28 Ai Compression…

Q: A tank has the shape of an inverted circular cone with a height of 10 ft and a base radius of 4…

A: Draw the systematic diagram of the inverted cone. Draw an imaginary ring with thickness delta h, and…

Q: In the figure, a spring of spring constant 2.80 x 10ª N/m is between a rigid beam and the output…

Q: A pump pumps water from a cistern into an empty water tank 10.0 m high. In 5.00 minutes the pump…

A: Given that :h=10mt=5m =300 sV=1200 l =1.2 m3g=9.8m/s2ρ=1000 kg/m3here,h is the height of the water…

Q: A trough is 5 meters long, 2.5 meters wide, and 5 meters deep. The vertical cross-section of the…

Q: A right cylindrical tank is filled with sea water. The tank has a radius of 2 feet and a height of 8…

A: Given value--- radius of tank = 2 feet. total height of tank = 8 feet. the water level is 2 feet…

Q: A circular swimming pool has a diameter of 10 m, the sides are 3 m high, and the depth of the water…

A: The work done by a force F in displacing an object by some distance 'd' is given as: Density is…

Q: A water tank has the shape of the bottom half of a sphere with a radius of 4 meters. It is currently…

Q: A large water tank is filled to a depth of 12.7 m. A leak develops in the side of the tank and water…

Q: How much work is required to increase the surface area of a container of water from 200.0 cm² to…

A: Surface tension (T) is the property of liquid that tries to minimize its free surface area. It is…

Q: In the figure, a spring of spring constant 3.10 x 10ª N/m is between a rigid beam and the output…

Q: A flotation device is in the shape of a right cylinder, with a height of 0.500 m and a face area of…

Q: An open tank has the shape of a right circular cone (see figure). The tank is 8 feet across the top…

A: Diameter of the cone is d=8 ft Height of the cone is h=6 ft Weight of the water per cubic foot is…

Q: A tank is is half full of oil that has a density of 900 kg/m³. Find the work W required to pump the…

A: Givenρ(density of oil)=900 kg/m3r=3mh=1m

Q: Consider a hemispherical tank that is completely filled with water. The water exits the tank from…

Q: A circular swimming pool has a diameter of 12m. The circular side of the pool is 3m high, and depth…

A: Consider the schematic arrangement of the pool as shown below: Here, ho, hp, and hw denote the…

Q: Two identical cylindrical vessels with their bases at the same level each contain a liquid of…

Q: The input piston on a hydraulic lift has area A. =1.5×10-4m² and the lift plunger has area…

Q: Calculate the work (in joules) required to pump all water out of a full tank. Water exits here. d b…

Q: The vat shown in the accompanying figure contains water to a depth of xo=1.3 m. Find the work…

Q: A tank, shaped like a cone has height 4 meter and base radius 1 meter. It is placed so that the…

A: Analyze the following diagram. Let us consider a small volume element of water having depth ‘dh’…

Q: A conical tank with a diameter of 2 m across the top and 3 m high is filled with water. Find the…

A: We have a conical tank of diameter d=2 m (radius r=d/2=1 m) and height h=3 m filled with water which…

Q: A cylindrical fank of about & m high, with a radius of 3 m, is filled half way with wafer.…

Q: A cylindrical tank of radius 5 ft and height 9 ft is two-thirds filled with a liquid of weight…

A: Work done is given by W =∫FdsWhere ds =displacement vectorF = force

Q: A hemispherical tank of radius 6 meters is positioned so that its base is circular. How much work is…

A: GivenRadius (R)=6 mDensity of water ρ= 9800 kg/m3

Q: A rectangular swimming pool 40 ft long, 20 ft wide, and 14 ft deep is filled with water to a depth…

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

Q: An aquarium 9 m long, 1 m wide, and 1 m deep is half-filled with water. Find the work needed to pump…

A: Given: Length of aquarium (l) = 9 m. Width of aquarium (w) = 1 m. Height of aquarium (h) = 1 m.…

Q: A force of 100 N is applied to the brake pedal, which acts on the cylinder—called the master—through…

A: The given values are,

Q: 3. A cylindrical water tank of radius 10 feet and height 30 feet is half filled with water. How much…

A: Wrok done can be by the formula W=∫F.dx Where F is the force and dx is the displacement.

Q: In a hydraulic lift, the radii of the pistons are 2.11 cm and 10.0 cm. A car weighing W = 10.0 kN is…

A: The pressure inside liquid is only dependent on the height of liquid above the point of concern.…

Q: Steel ball with radius of 0.09 m lays on a bottom of the lake 5 m deep. What work is needed to lift…

A: Apply the Archimedes principle, and solve for the mass of the ball.

Q: Calculate the work that must be done to push a cubical block of wood (dimensions LxLxL) down below…

Q: A trough is 5 meters long, 1.5 meters wide, and 1 meters deep. The vertical cross-section of the…

A: height , h = 1 m length , L = 1.5m base , B = 5m To find = work required to empty the trough .

Q: For a given cylindrical tank, the radius is 8 m and the height is 18 m. The tank is filled to a…

A: Solution: Given that r = 8 m, h = 18 m water filled H = 10 m

Q: A full water tank in the shape of an inverted right circular cone is 26 m across the top and 13 m…

A: Work done is given as the dot product of force acting on the object and displacement of the object.…

Q: The Rexroth simulators have the following component specifications: Double acting cylinders with…

A: (b)we know that Force=Pressure×Area Force of extension,FE=P×Apiston FE=10500×103×0.00049=5.145×103N…

Q: A cistern in the form of an inverted right circular cone is 20 m. deep and 12 m. diameter at the…

Q: A spring of constant k is stretched by distance X such that the elastic potential energy is E.…

A: Given data: - The spring constant of the first spring is k. The stretching length of the first…

Q: A tank in the shape of an inverted cone has a height of 15 meters and base radius of 4 meters and is…

A: Given: Height of cone tank, x = 15 m Radius of cone tank, r = 4 m Water is filled to depth = 12 m…

Q: 6.86 A cart is moving along a track at a constant velocity of 5 m/s as shown. Water (p = 1000 kg/m³)…

Q: 9. A circular swimming pool has a diameter of 24 ft, the sides are 5 feet high, and the depth of the…

A: Given: diameter of swimming pool, D = 2.4 ft height of swimming pool, H = 5 ft depth of water, h = 4…

Q: A tank that is 5 feet deep, with a square bottom with sides 4 feet each, has 2 feet of water that…

A: Given Data: The depth of the tank is: y2=5 ft The side of square bottom is: s=4 ft The depth of the…

Q: A tank in the form of an inverted right-circular cone is 8m across the top and 10m deep. The tank is…

A: Work done is the amount of force required to move the object from one point to another. In other…

Q: A full water tank in the shape of an inverted right circular cone is 8 m across the top and 4 m…

A: Write the given values using a suitable variable. Here h signifies cone height, r signifies cone…

Q: Given a press machine ( 23 min ) The Ram…

Q: An aquarium 11m long, 2m wide, and 9m deep is full of water. The density of water is 1000kg/m3 and…

A: Given: The length of the aquarium is L=11 m, The width of the aquarium is b=2 m, The length of the…

Q: A gas station stores its gasoline in a tank under the ground. The tank is a cylinder lying…

A: Given : Radius of a cylinder (r) = 2 m Length (L) = 3 m Depth (d) = 5 m Density (ρ) = 673 kg/m3 g =…

Q: A centrifugal pump operating under steady flow conditions delivers 2,270 kg/min of water from an…

A: Centrifugal pumps fall under the umbrella of Dynamic pumps. Centrifugal pumps function by…

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3 Final answer

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Verigy that the SI of hpg is N/m2.
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 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 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) Estimate the time it would take to a private swimming pool with a capacity of 80,000 L using a garden hose delivering 60 L/min. (b) How long would it take if you could divert a moderate size river, flowing at 5000 m3/s into pool?
Bird bones have air pockets to reduce their weight—this also gives them an average density significantly less than that of the bones of other animals. Suppose an ornithologist weighs a bird bone air and in water and finds its mass is 45.0 g ad its apparent mass when submerged is 3.60 g (assume the bone is watertight.)(a) What mass of is displaced? (b) What is the volume of the bone? (c) What is its average density?
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.
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
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
A circular swimming pool has a diameter of 16 m, the sides are 4 m high, and the depth of the water is 3 m. How much work (in Joules) is required to pump all of the water over the side? (The acceleration due to gravity is 9.8 ms2 and the density of water is 1000 kgm3.)
A circular swimming pool has a diameter of 10 meters, and the sides of the pool are 5 meters high. Can you help me figure out if the pool is initially full of water, how much work is done in pumping the water outover the top edge? (Use the fact that water has a density of 1000 kg per ? ! ) and if the pool is initially, half-full of water, how much work is done in pumping the water out over the top edge? Thank you in advance, I appreciate your help.
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?