We will have a large tank of water of height h. There is a small nozzle...
We will have a large tank of water of height h. There is a small nozzle on the bottom of the large tank. What is the velocity of the water moving out of the nozzle?
We must assume the nozzle is small so the height of the water doesn't change with time and we do not need to apply Bernoulli's equation for that part. We also assume the water is non viscous and is not turbulent (laminar flow). This problem will require both fluid dynamics and fluid statics
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We will have a large tank of water of height h. There is a small
nozzle...
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
(3 points) A tank of diameter D is filled with water up to a height h...
(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 tank draining (c) If you no longer assume that the...
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...
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...
There is a large tank, with the (1) open to atmosphere, that is filled with water...
There is a large tank, with the (1) open to atmosphere, that is filled with water to a height of h, from the center of the the outlet pipe (2). The valve on the outlet pipe is opened, allowing the water to flow out. Assume (2) is exposed to atmospheric pressure. Using the Bernoulli equation, derive the Toricelli equation, i.e. the expression for the outlet velocity as a function of height. Water = 0
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...
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.
Tank 1: Tank 2: Water h(t) h(t) Q1 (70 pts). Suppose experiments have been performed to...
Tank 1: Tank 2: Water h(t) h(t) Q1 (70 pts). Suppose experiments have been performed to determine the exit velocity (u) as a function of water height (h) for two different tanks. In Tank I, a smooth rounded nozzle with a diameter of a 2 cm is used whereas a square gate opening with a 2 cm side is utilized in Tank 2. The measured flow rates at different tank heights are given further below; the initial height for both...
14. A jet of water squirts out horizontally from a hole near the bottom of the very large tank in the figure. If the height, h, of the water level in the tank is 0.3 m, find the angle that the s...
14. A jet of water squirts out horizontally from a hole near the bottom of the very large tank in the figure. If the height, h, of the water level in the tank is 0.3 m, find the angle that the stream makes with the vertical as it strikes the ground. (The horizontal distance frorm the bottom of the cylindrical stand to the splash point is unknown.)
14. A jet of water squirts out horizontally from a hole near the...
Water can be considered as a non-viscous incompressible fluid of density p. A laboratory set-up is...
Water can be considered as a non-viscous incompressible fluid of density p. A laboratory set-up is such that water flows through a pipe, exhibiting a laminar and steady-state flow. At the top end of the pipe, the flow tube has a cross-sectional area A and point 1 (located on the central streamline) is exposed to the ambient environment. The pipe drops through a A vertical distance h7 while its area decreases to when it reaches point 2 (also on the...
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
(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 tank draining (c) If you no longer assume that the...
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...
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...
There is a large tank, with the (1) open to atmosphere, that is filled with water to a height of h, from the center of the the outlet pipe (2). The valve on the outlet pipe is opened, allowing the water to flow out. Assume (2) is exposed to atmospheric pressure. Using the Bernoulli equation, derive the Toricelli equation, i.e. the expression for the outlet velocity as a function of height. Water = 0
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...
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.
Tank 1: Tank 2: Water h(t) h(t) Q1 (70 pts). Suppose experiments have been performed to determine the exit velocity (u) as a function of water height (h) for two different tanks. In Tank I, a smooth rounded nozzle with a diameter of a 2 cm is used whereas a square gate opening with a 2 cm side is utilized in Tank 2. The measured flow rates at different tank heights are given further below; the initial height for both...
14. A jet of water squirts out horizontally from a hole near the bottom of the very large tank in the figure. If the height, h, of the water level in the tank is 0.3 m, find the angle that the stream makes with the vertical as it strikes the ground. (The horizontal distance frorm the bottom of the cylindrical stand to the splash point is unknown.)
14. A jet of water squirts out horizontally from a hole near the...
Water can be considered as a non-viscous incompressible fluid of density p. A laboratory set-up is such that water flows through a pipe, exhibiting a laminar and steady-state flow. At the top end of the pipe, the flow tube has a cross-sectional area A and point 1 (located on the central streamline) is exposed to the ambient environment. The pipe drops through a A vertical distance h7 while its area decreases to when it reaches point 2 (also on the...
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