Calculate Flow Velocity and Hole Diameter in Water Tank Problem

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SUMMARY

The discussion focuses on calculating the flow velocity and hole diameter of water exiting a tank with a hole located 16 meters below the water surface. The flow rate is given as 2.5e^3 m³/min. The relevant equation derived from Bernoulli's principle is P1 + 1/2PV1² = P2 + 1/2PV2², where P1 is atmospheric pressure (1.01x10^5 Pa) and Y1 is the depth of the water. The participants clarify the total pressure at the hole and confirm the use of atmospheric pressure in calculations.

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rawimpact
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1. A large tank isopen to the atmosphere and is filled with water. A small hole is 16m below the surface of the water. If the flow rate of the water is out of the hole is 2.5e^3 m^3/min, calculate: a)the velocity of the water as it leaves the hole and b) the diameter of the hole.
2. Let's say the pool is 1 and the hole is 2, P = pressure and P is density, i was given the equation: P1 + Pv1^2 + 1/2PY1 = P2 + 1/2PV2^2 + PY23. I have no clue how to solve this equation, can someone help me out please?
 
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Check the relevant formula given in 2.
Inside the pool velocity is zero. And outside the pool Y2 is zero.
 
rl.bhat said:
Check the relevant formula given in 2.
Inside the pool velocity is zero. And outside the pool Y2 is zero.

So the equation is:

P1 + 1/2PY1 = P2 + 1/2PV2^2

Correct?

Where do i go from here?
 
Again check the left hand side of the equation.
 
Can you please explain the equation, i do not understand it so i really do not know what the velocities are
 
OK. At the opening what is the total pressure inside the tank?
 
rl.bhat said:
OK. At the opening what is the total pressure inside the tank?

Well since it is exposed to the atmosphere, isn't it atmospheric pressure? 1.01x10^5 Pa?
 
rawimpact said:
Well since it is exposed to the atmosphere, isn't it atmospheric pressure? 1.01x10^5 Pa?
Plus the pressure due to the water at the depth Y1
 
Ok, I've figured it out, thank you for all of your help. I have another problem, should i continue that here or start another thread?
 
  • #10
You can continue here.
 

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