Question

2 m 10 cm Vent (open to the atmosphere) ?? 3 m The cylindrical water tank shown in the above figure releases water through a 10 cm diameter pipe at the bottom of the tank. The tank is 3 m long and 2 m in diameter. Initially the tank is completely full with water. a) Derive an expression for the velocity of the water out of the pipe ($V$). b) Find the time for the tank to empty its water volume completely. (Density of water = 1000 kg/m$^3$)

          2 m
10 cm
Vent (open to the atmosphere)
??
3 m
The cylindrical water tank shown in the above figure releases water through a 10 cm diameter
pipe at the bottom of the tank. The tank is 3 m long and 2 m in diameter. Initially the tank is
completely full with water.
a) Derive an expression for the velocity of the water out of the pipe ($V$).
b) Find the time for the tank to empty its water volume completely.
(Density of water = 1000 kg/m$^3$)

2 m
10 cm
Vent (open to the atmosphere)
??
3 m
The cylindrical water tank shown in the above figure releases water through a 10 cm diameter
pipe at the bottom of the tank. The tank is 3 m long and 2 m in diameter. Initially the tank is
completely full with water.
a) Derive an expression for the velocity of the water out of the pipe (V).
b) Find the time for the tank to empty its water volume completely.
(Density of water = 1000 kg/m^3)

Added by Jose Angel M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Mayukh Banik

Step 1

To derive an expression for the velocity of the water out of the pipe, we can use Bernoulli's equation, which states that the sum of the pressure energy, kinetic energy, and potential energy per unit volume of a fluid is constant along a streamline. In this case, Show more…

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The cylindrical water tank shown in the above figure releases water through a 10 cm diameter pipe at the bottom of the tank. The tank is 3 m long and 2 m in diameter. Initially, the tank is completely full with water. a. Derive an expression for the velocity of the water out of the pipe. b. Find the time for the tank to empty its water volume completely. Density of water = 1000 kg/m^3