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

[jleoonard]

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

 

[andrevdh]

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.

 

[Shooting Star]

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.

 

[chaoseverlasting]

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.

 

[Shooting Star]

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?