A cylindrical tank (height h, radius r) is full to the brim of water and its...
A cylindrical tank (height h, radius r) is full to the brim of water and its top is open to the outside air. What expression describes the speed of fluid flowing out of a hole that is opened up at height h′ above the bottom of the tank?
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A cylindrical tank (height h, radius r) is full to the brim of
water and its...
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...
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 cylindrical water tank is mounted on a platform with its central axis vertical. The...
A large cylindrical water tank is mounted on a platform with its central axis vertical. The water level is 3.75 m above the base of the tank, and base is 2.00 m above the ground. A small hole 2.22 mm in diameter has formed in the base of the tank. Both the hole and the top of the tank are open to the air. We can ignore air resistance and treat water as an ideal fluid with a density of...
A large cylindrical water tank is mounted on a platform with its central axis vertical. The...
A large cylindrical water tank is mounted on a platform with its central axis vertical. The water level is 3.75 m above the base of the tank, and the diameter of the tanks is 2m. A small hole 2.22 mm in diameter has formed in the base of the tank. Both the hole and the top of the tank are open to the air. We can ignore air resistance and treat water as an ideal fluid with a density of...
A large water tank is 2.95 m high and filled to the brim, the top of...
A large water tank is 2.95 m high and filled to the brim, the top of the tank open to the air. A small pipe with a faucet is attached to the side of the tank, 0.740 m above the ground. If the valve is opened, at what speed (in m/s) will water come out of the pipe? m/s
A large cylindrical tank with diameter D is open to the air at the top. The...
A large cylindrical tank with diameter D is open to the air at the top. The tank contains water to a height H. A small circular hole with diameter d<< D is then opened at the bottom of the tank. Ignore any viscosity effects. (a) Find the height y of water in the tank as a function of time t after the hole is opened. (b) If the initial height H of the water is doubled, by what factor does...
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...
(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...
Water in a vertical cylindrical tank of height 29 it and radius 4 ft is to...
Water in a vertical cylindrical tank of height 29 it and radius 4 ft is to be pumped out. The density of water is 62.4 lb/R. (6) The tank is full of water and all of the water is to be pumped over the top of the tank. Find the approximate work for the slice as shown. Use Delta or A from the CalcPad. Leave in your answer. 32118.5281 ( 29 - y) Ay Find the endpoints for the integral...
A cylindrical tank is being filled with water. The tank is initially empty but then water...
A cylindrical tank is being filled with water. The tank is initially empty but then water begins to flow into it at a rate of 62.00 kg/min. There is a small hole of radius r = 0.7000 cm at the bottom of the tank where water can escape. Because the flow rate of water leaving the hole is initially at a slower rate than water entering the tank, the water level rises. The average velocity of water leaving through the...
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...
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...
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...
(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...
Water in a vertical cylindrical tank of height 29 it and radius 4 ft is to be pumped out. The density of water is 62.4 lb/R. (6) The tank is full of water and all of the water is to be pumped over the top of the tank. Find the approximate work for the slice as shown. Use Delta or A from the CalcPad. Leave in your answer. 32118.5281 ( 29 - y) Ay Find the endpoints for the integral...
A cylindrical tank is being filled with water. The tank is initially empty but then water begins to flow into it at a rate of 62.00 kg/min. There is a small hole of radius r = 0.7000 cm at the bottom of the tank where water can escape. Because the flow rate of water leaving the hole is initially at a slower rate than water entering the tank, the water level rises. The average velocity of water leaving through the...
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