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 the time it takes to completely drain the tank increase?
(c) Let D=3m and d=.75m. Suppose the tank is emptied fully, and then water is poured in at a rate of 1000 gallons per minute. To what height h will the water rise in the tank?
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A large cylindrical tank with diameter D is open to the air at
the top. The...
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...
7 Water is flowing into the top of an open cylindrical tank (diameter D) at a...
7 Water is flowing into the top of an open cylindrical tank (diameter D) at a volume flow rate of e and out of a hole in the bottom at a rate of O The tank is made of wood that is very porous and the water is leaking out through the wall uniformly at a rate of q per unit of wetted surface area. The initial depth of water in the tank is 2,. Derive an equation for the...
1. (4 pts.) A large tank of diameter D is drained under the action of gravity...
1. (4 pts.) A large tank of diameter D is drained under the action of gravity through a hole of diameter d in its bottom. Of interest is the time it takes the tank to drain completely. diameter D An experimentalist wishing to model this system with a smaller tank has determined that the time ? that it will take to drain the tank is a function of the initial liquid depth ho, the diameters, D and d, the gravitational...
A. just after the hole is made, what is the speed of the water as it...
A. just after the hole is made, what is the speed of the water
as it emerges from the hole? (answer 4.45 m/s)
B. what is the ratio of this speed to the efflux speed if the
top of the tank is open to the air?
C. How much time does it take for all the water to drain from
the tank?
D. What is the ratio of this time to the time is takes for the
tank to drain...
DO NOT post from solutions manual 3) The diameter of a cylindrical water tank is Do...
DO NOT post from solutions manual
3) The diameter of a cylindrical water tank is Do and its height is H. The tank is filled with water, which is open to the atmosphere. An orifice of diameter D with a smooth entrance (i.e., negligible losses) is open at the bottom. Develop a relation for the time required for the tank (a) to empty halfway and (b) to empty completely
An opaque cylindrical tank with an open top has a diameter of 2.95 m and is...
An opaque cylindrical tank with an open top has a diameter of 2.95 m and is completely filled with water. When the afternoon Sun reaches an angle of 28.4° above the horizon, sunlight ceases to illuminate the bottom of the tank. How deep is the tank?
An opaque cylindrical tank with an open top has a diameter of 3.70 m and is...
An opaque cylindrical tank with an open top has a diameter of 3.70 m and is completely filled with water. When the afternoon Sun reaches an angle of 27.0° above the horizon, sunlight ceases to illuminate any part of the bottom of the tank. How deep is the tank?
An opaque cylindrical tank with an open top has a diameter of 3.50 m and is...
An opaque cylindrical tank with an open top has a diameter of 3.50 m and is completely filled with water. When the afternoon Sun reaches an angle of 29.0° above the horizon, sunlight ceases to illuminate any part of the bottom of the tank. How deep is the tank? m
an opaque cylindrical tank with an open top has a diameter of3.00 m and is completely...
an opaque cylindrical tank with an open top has a diameter of3.00 m and is completely filled with water. when theafternoon Sun reaches an angle of 28.0 degrees above the horizon,sunlight ceases to illuminate any part of the bottom of thetank. how deep is the tank?
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?
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...
7 Water is flowing into the top of an open cylindrical tank (diameter D) at a volume flow rate of e and out of a hole in the bottom at a rate of O The tank is made of wood that is very porous and the water is leaking out through the wall uniformly at a rate of q per unit of wetted surface area. The initial depth of water in the tank is 2,. Derive an equation for the...
1. (4 pts.) A large tank of diameter D is drained under the action of gravity through a hole of diameter d in its bottom. Of interest is the time it takes the tank to drain completely. diameter D An experimentalist wishing to model this system with a smaller tank has determined that the time ? that it will take to drain the tank is a function of the initial liquid depth ho, the diameters, D and d, the gravitational...
A. just after the hole is made, what is the speed of the water
as it emerges from the hole? (answer 4.45 m/s)
B. what is the ratio of this speed to the efflux speed if the
top of the tank is open to the air?
C. How much time does it take for all the water to drain from
the tank?
D. What is the ratio of this time to the time is takes for the
tank to drain...
DO NOT post from solutions manual
3) The diameter of a cylindrical water tank is Do and its height is H. The tank is filled with water, which is open to the atmosphere. An orifice of diameter D with a smooth entrance (i.e., negligible losses) is open at the bottom. Develop a relation for the time required for the tank (a) to empty halfway and (b) to empty completely
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