Pressure on Brass Sphere 10k ft Under Ocean

In summary, to find the pressure on a solid sphere of brass 10,000 feet below the ocean with a diameter of 11 inches, you can use the equation p=F/A, where F is the weight of the water above the sphere and A is the surface area of the sphere. However, you may also need to consider additional external forces.
  • #1
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Homework Statement



Basically I need to find the pressure on a solid sphere of brass 10,000 feet below the ocean. diameter of the sphere is 11 inches.

Homework Equations



62.4 lb/ft3 p=F/A

The Attempt at a Solution



This is part of a larger problem where I need to find the change in diameter, the change in volume and the strain energy, but first I need to determine the uniform stress compressing the ball.

I figured if I took the column of water above the sphere using 62.4(10,000) then subtracted the excess at the largest cross section of the sphereIE. 62.4(10,000)-(1ftx1ft)-pi(5.5in)^2. If I am right this should give me the weight of the water directly above the sphere. I can then use this weight and divide by the surface area over the entire sphere to get the stress. I have tried variations of this but to no avail.

Ideas? Thank you
 
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  • #2
for your help!

your first step would be to gather all the necessary data and information to solve this problem. This includes the density of brass, the depth of the sphere, and the diameter of the sphere. From there, you can use the equation p=F/A to calculate the pressure on the sphere.

To find the force (F) acting on the sphere, you can use the density of water at the given depth to calculate the weight of the column of water above the sphere. This will give you the total force acting on the sphere due to the weight of the water.

Next, you can calculate the surface area (A) of the sphere by using the formula for the surface area of a sphere (A=4πr^2, where r is the radius of the sphere). Once you have both the force and surface area, you can plug them into the equation p=F/A to find the pressure on the sphere.

Keep in mind that this calculation will only give you the pressure due to the weight of the water above the sphere. You may also need to consider any additional external forces acting on the sphere, such as the pressure from surrounding water or any other objects in the environment.

Once you have determined the pressure on the sphere, you can continue with your larger problem of finding the change in diameter, volume, and strain energy. Good luck!
 
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