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

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Homework Help Overview

The discussion revolves around determining the size of a hole in the bottom of a ship, given a flow rate of 700 gallons per minute and a water depth of 33.66 feet. Participants are exploring the relationship between pressure, flow, and area in the context of fluid dynamics.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Some participants suggest that the flow is driven by the pressure difference between the water inside and outside the ship, indicating that this measurement is crucial for calculating the hole size. Others mention using Bernoulli's law as a potential approach. There is also a focus on the relationship between pressure, force, and area, with some participants noting that area is the unknown variable needed for the solution.

Discussion Status

The discussion is active, with participants providing various insights and approaches. Some guidance has been offered regarding the use of pressure and flow rate to find the area, but there is no explicit consensus on the method or calculations to be used.

Contextual Notes

Participants are working under the constraint that the hole cannot be accessed directly, and they are relying on the given flow rate and water depth to derive the necessary calculations.

jleoonard
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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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