Calculate Flow Velocity and Hole Diameter in Water Tank Problem

AI Thread Summary
The discussion focuses on calculating the flow velocity and hole diameter for water exiting a tank. A large tank is open to the atmosphere, with a small hole located 16 meters below the water surface, and a flow rate of 2.5e^3 m^3/min is provided. Participants clarify the use of Bernoulli's equation to solve the problem, discussing pressure and velocity at different points in the system. The atmospheric pressure at the hole's opening is confirmed to be 1.01x10^5 Pa, along with the pressure from the water column. The conversation concludes with a suggestion to continue discussing related problems in the same thread.
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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