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(3 points) A tank of diameter D is filled with water up to a height h...
3. (3 points) A tank of diameter D is filled with water up to a height...
3. (3 points) A tank of diameter D is filled with water up to a height h above the bottom of the tank (Figure 3). At the bottom of the tank is a hole of diameter d. Assume that the water flows out of the hole with a laminar flow and that the difference in atmospheric pressure between the top and the bottom of the tank is negligible Figure 3: A lank draining a) What speed will the water have...
The tank pictured in Figure 2 with height H and diameter D contains water, which drains through a small round hole with diameter d. Torricelli’s law states that the average velocity v of the draining...
The tank pictured in Figure 2 with height H and diameter D
contains water, which drains through a small round hole with
diameter d. Torricelli’s law states that the average velocity v of
the draining water is , where g
is the acceleration of gravity and h the water level. Derive an expression to
describe the time taken for the tank to drain, if it is initially
full of water. Future interplanetary astronauts could use the tank
as a simple...
A cylinder-type tank filled with water is installed as follows. When draining the bottom of the...
A cylinder-type tank filled with water is installed as
follows. When draining the bottom of the tank with a pipe with a
diameter of 5cm, the rate at which the water falls is v= route(2gh)
where g is the gravity acceleration and h is the depth of the water
in the tank at the outlet below the tank. The tank is 12 meters
long and 0.6 meters in diameter. Assuming the tank is half full,
how long does it take...
A large tank of water is filled up to a height H = 65 cm and...
A large tank of water is filled up to a height H = 65 cm and is
tapped a distance h = 48 cm below the water surface by a small hole
as shown in the figure. Find the distance x reached by the water
flowing out of the hole.
Draining of cylindrical tank. You have a cylindrical tank full of water with a diameter =Dtank....
Draining of cylindrical tank. You have a cylindrical tank full of water with a diameter =Dtank. The height (htank) is changing with time. You are draining the tank through a hole in the bottom. The hole has a diameter Dhole. The velocity of the water leaving the tank depends on the height of the water and can be given as: v2 = 2 g htank. When the hole is first opened, the height of the water is ho. Draw and...
At the bottom of large tank we have a small hole 15.0 diameter filled with water...
At the bottom of large tank we have a small hole 15.0 diameter filled with water to a height of 70.0 cm. Find the speed at which the water exits the tank through the hole 56.6 m/s 6.3 m/s 13.72 m/s 370 m/s
Problem 4 4.50 A conical flask contains water to height H=36.8 mm, where the flask diameter...
Problem 4 4.50 A conical flask contains water to height H=36.8 mm, where the flask diameter is D = 29.4 mm. Water drains out through a smoothly rounded hole of diameter d= 7.35 mm at the apex of the cone. The flow speed at the exit is approxi- mately V = V2gy, where y is the height of the liquid free surface above the hole. A stream of water flows into the top of the flask at constant volume flow...
A conical tank of radius R and height H, pointed end down, is full of water....
A conical tank of radius R and height H, pointed end down, is
full of water. A small hole of radius r is opened at the bottom of
the tank, with r, much much less than, R so that the tank drains
slowly. Find an expression for the time T it takes to drain the
tank completely.
Hint 1: use Bernoulli’s equation to relate the flow speed from
the hole to the height of the water in the cone.
Hint...
A large storage tank, open to the atmosphere at the top and filled with water, developed...
A large storage tank, open to the atmosphere at the top and filled with water, developed a small hole in its side 13.9 m below the water level. The rate of flow from the leak is 2.10 x 10^-3 m^3 / min. A) determine the speed at which the water leaves the hole. B) determine the diameter of the hole.
A tank, which is open to the atmosphere, is filled with water to a level h...
A tank, which is open to the atmosphere, is filled with water to a level h and allowed to drain through an orifice at the bottom, as shown in the figure below. The cross-sectional area of the tank is At and the cross-sectional area of the orifice is Ao. Assume that the cross-sectional area of the tank is much greater than the cross-sectional area of the orifice (Ar>>Ao) and that the exit losses are negligible. 4) Use Reynolds Transport Theorem...
3. (3 points) A tank of diameter D is filled with water up to a height h above the bottom of the tank (Figure 3). At the bottom of the tank is a hole of diameter d. Assume that the water flows out of the hole with a laminar flow and that the difference in atmospheric pressure between the top and the bottom of the tank is negligible Figure 3: A lank draining a) What speed will the water have...
The tank pictured in Figure 2 with height H and diameter D
contains water, which drains through a small round hole with
diameter d. Torricelli’s law states that the average velocity v of
the draining water is , where g
is the acceleration of gravity and h the water level. Derive an expression to
describe the time taken for the tank to drain, if it is initially
full of water. Future interplanetary astronauts could use the tank
as a simple...
A cylinder-type tank filled with water is installed as
follows. When draining the bottom of the tank with a pipe with a
diameter of 5cm, the rate at which the water falls is v= route(2gh)
where g is the gravity acceleration and h is the depth of the water
in the tank at the outlet below the tank. The tank is 12 meters
long and 0.6 meters in diameter. Assuming the tank is half full,
how long does it take...
A large tank of water is filled up to a height H = 65 cm and is
tapped a distance h = 48 cm below the water surface by a small hole
as shown in the figure. Find the distance x reached by the water
flowing out of the hole.
Draining of cylindrical tank. You have a cylindrical tank full of water with a diameter =Dtank. The height (htank) is changing with time. You are draining the tank through a hole in the bottom. The hole has a diameter Dhole. The velocity of the water leaving the tank depends on the height of the water and can be given as: v2 = 2 g htank. When the hole is first opened, the height of the water is ho. Draw and...
At the bottom of large tank we have a small hole 15.0 diameter filled with water to a height of 70.0 cm. Find the speed at which the water exits the tank through the hole 56.6 m/s 6.3 m/s 13.72 m/s 370 m/s
Problem 4 4.50 A conical flask contains water to height H=36.8 mm, where the flask diameter is D = 29.4 mm. Water drains out through a smoothly rounded hole of diameter d= 7.35 mm at the apex of the cone. The flow speed at the exit is approxi- mately V = V2gy, where y is the height of the liquid free surface above the hole. A stream of water flows into the top of the flask at constant volume flow...
A conical tank of radius R and height H, pointed end down, is
full of water. A small hole of radius r is opened at the bottom of
the tank, with r, much much less than, R so that the tank drains
slowly. Find an expression for the time T it takes to drain the
tank completely.
Hint 1: use Bernoulli’s equation to relate the flow speed from
the hole to the height of the water in the cone.
Hint...
A tank, which is open to the atmosphere, is filled with water to a level h and allowed to drain through an orifice at the bottom, as shown in the figure below. The cross-sectional area of the tank is At and the cross-sectional area of the orifice is Ao. Assume that the cross-sectional area of the tank is much greater than the cross-sectional area of the orifice (Ar>>Ao) and that the exit losses are negligible. 4) Use Reynolds Transport Theorem...
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