A tank in the shape of an inverted cone has a height of 15 meters and base radius of 4 meters and is filled with water to the depth of 12 meters. What is the amount of work needed to pump all the water to the top of the tank? O a. 6.7 x 106 N O b. 4.8 x 10® N O c. 7.5 x 10° N O d. 5.4 × 106 N O e. None of the choices.

A tank in the shape of an inverted cone has a height of 15 meters and base radius of 4 meters and is filled with water to the depth of 12 meters. What is the amount of work needed to pump all the water to the top of the tank? O a. 6.7 x 106 N O b. 4.8 x 10® N O c. 7.5 x 10° N O d. 5.4 × 106 N O e. None of the choices.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter11: Fluid Statics

Section: Chapter Questions

Problem 79PE: (a) How high will water rise in a glass capillary tube with a 0.500-mm radius? (b) How much...

See similar textbooks

Similar questions

A hand—driven tire pump has a piston with a 2.50cm diameter and a maximum stroke of 30.0 cm. (a) How much work do you do in one stroke if the average gauge pressure is 2.40105N/m2 (about 35 psi)? (b) What average force do you exert on the piston, neglecting friction and gravitational force?
A water trough has a semicircular cross section with a radius of 0.3 m and a length of 1 m (see figure). a. How much work is required to pump the water out of the trough (to the level at the top of the trough) when it is full? Use 1000 kg/m³ for the density of water and 9.8 m/s² for the acceleration due to gravity. b. If the length is doubled, is the required work doubled? Explain. c. If the radius is doubled, is the required work doubled? Explain. 1 m 0.3 m
A conical container of radius 5 ft and height 20 ft is filled to a height of 16 ft of a liquid weighing 62.4 lb / ft. a. How much work will it take to pump the contents to the rim? b. How much work will it take to pump the liquid to a level of 4 ft above the cone's rim? a. Let y = 0 correspond to the bottom of the tank. Set up the integral that gives the work required, in ft-lb, to pump contents to the rim. w= Ody The amount of work required to pump the liquid to the rim of the tank is (Round to the nearest whole number as needed.) b. Let y = 0 correspond to the bottom of the tank. Set up the integral that gives the work required, in ft-lb, to pump the liquid to a level of 4 ft above the cone's rim. W = |dy The amount of work required to pump the liquid to a level 4 ft above the rim of the tank is (Round to the nearest whole number as needed.)
A water tank is shaped like an inverted cone with height 6 m and base radius 1.5 m (as shown). a. If the tank is full, how much work is required to pump the water to the level of the top of the tank and out of the tank? b. Is it true that it takes half as much work to pump the water out of the tank when it is filled to half its depth as when it is full? Explain.
3. The density of water is 1000kg/m^3, and the force of gravity is 9.8m/s^2. An aquarium is 6m long, 1m wide, and 1m deep. The aquarium is full of water. Find the work needed to pump the top half of the water out of the aquarium.
A 3 m height container, sealed, is half filled by fluid. The density of the fluid is p = 1.5 Kg/m². What is the pressure at the bottom of the container? A 1.00 kg ball falls to the ground from a height of 10.0 m and bounces back to a height of 8.00 m. What is the total work done by the gravitational force on the ball? m(1.00 kg) A 7.80-g bullet moving at 490 m/s penetrates a tree trunk to a depth of 4.6 cm. • a) Use work and energy considerations to find the average frictional force that stops the bullet. • b) (b) Assuming the friction force is constant, determine how much time elapses between the moment the bullet enters the tree and the moment it stops moving.
A cylindrical tank, shown in the figure, has height 8 m and radius 5 m. a. If the tank is full of water, how much work is required to pump the water to the level of the top of the tank and out of the tank? Use 1000 kg/m³ for the density of water and 9.8 m/s² for the acceleration due to gravity. b. Is it true that it takes half as much work to pump the water out of the tank when it is half full as when it is full? Explain. 5 m 8 m
7. A water tank extends backward 10 meters with a front face in the shape of an rectangle. The tank has a height of 5 meters and a width of 10 meters at its base. A spout is located 2 meters above the top of the tank. On the front of the tank (in the middle) is a small circular port 0.5 meters in diameter. a. Calculate the work to empty the tank. b. Calculate the force and pressure on the front of the tank. c. Calculate the force and pressure on the valve. d. Calculate the work required to pump enough water out of the tank to decrease the pressure on the value by a half.
PROBLEM 2. Water from a reservoir is pumped over a hill through a 450mm diameter and a Pressure head of 10meters maintained at the summit. Water discharge is 30meters above the reservoir. The quantity pumped is 0.5 m'/sec. Frictional losses in the discharge and suction pipe is equivalent to 1.5meters. The speed of the pump is 800rpm. Determine the following a. Water power of the pump b. New Value of the discharge if the speed of the pump is increased to 1000rpm c. New Value of the head if the speed of the pump is increased to 1000rpm d. New Value of the power if the speed of the pump is increased to 1000rpm
7. A fuel oil tank is an upright cylinder, with radius 3 meters and height 13 meters. a. Assuming the tank is full, calculate the work required to pump the oil out a spout 1 meter above the top of the tank. Round to the nearest whole number, and include units with your answer. Note: W - Vpgd Density of the oil = 800 kg/m³. Acceleration due to gravity = 9.82 b. Is it true that it takes half as much work to pump the oil out of the tank if it's only half full? Explain why or why not.
A hand-driven tire pump has a piston with a 2.9 cm diameter and a maximum stroke of 28 cm. a) How much work do you do in one stroke if the average gauge pressure is 2.3 × 105 N/m2? W= b) What average force do you exert on the piston, neglecting friction and gravitational force? F=
An open tank has the shape of a right circular cone. The tank is 8 feet across the top and 6 feet high.How much work is done in emptying the tank by pumping the water over the top edge? Work done: ??? ft-lb