Determining the Size of a Ship's Hole with 700gpm Flow and 33.66ft Water Depth

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To determine the size of a hole in a sinking ship with a flow rate of 700 gallons per minute (gpm) and a water depth of 33.66 feet, Bernoulli's principle is applicable. The pressure difference at the hole is 15.03 psi, which can be used to calculate the force exerted by the water. By applying the equation P=F/A, where pressure (P) is known, the force (F) can be calculated from the flow rate and height. The area (A) of the hole is the only unknown in this equation, allowing for its size to be determined. Actual calculations would require substituting the known values into these equations.
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please help my sinking ship!

Homework Statement


- I have a hole in the bottom of a ship and i need to know the size of the hole. I cannot get at the hole but i kn ow the flow through it is 700gpm and the depth of the sea water to the hole is 33.66 feet (15.03 psi)


Homework Equations





The Attempt at a Solution

 
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I would think that the flow is driven mainly by the difference in the water level inside and outside of the boat. So in order to calculate the size of the hole one also need this measurement.
 
Last edited:
jleoonard said:

Homework Statement


- I have a hole in the bottom of a ship and i need to know the size of the hole. I cannot get at the hole but i kn ow the flow through it is 700gpm and the depth of the sea water to the hole is 33.66 feet (15.03 psi)


Homework Equations





The Attempt at a Solution


You have not shown any attempt at a solution.

Use Bernoulli's law.
 
15.03 psi is the pressure difference given. You know P=F/A. As you know the height and the rate of flow, you can find out the force applied. That leaves area as the only unknown, which is what you require.
 
chaoseverlasting said:
15.03 psi is the pressure difference given. You know P=F/A. As you know the height and the rate of flow, you can find out the force applied. That leaves area as the only unknown, which is what you require.

Could you please show me the actual calculation?
 

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