Percentage change in interior volume

In summary, deep sea fish experience 200 times atmospheric pressure at a depth of 2000m in the sea. When lowering a hollow iron spherical shell to this depth, the change in interior volume can be calculated using DeltaV/Vo, which is equal to the change in pressure over the bulk modulus. Using this equation, the percentage change in volume is approximately 0.02%, with a negative value.
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tige99
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Homework Statement



Deep sea fish experience a tremendous amount of atmospheric pressure.

When you are at a depth of 2000 m in the sea, the pressure that you will experience is about 200 times atmospheric pressure (1atm=1.0×105N/m2)which you will experience on land.

If you are lowering a hollow iron spherical shell, imagine a spherical submarine, then by how much does the volume of the interior of this shell change at this depth? Express the ratio in terms of percentange change in interior volume.

Express your answer to two significant figures and include the appropriate units

delta V/Vo

Homework Equations



The Attempt at a Solution


I know DeltaV/Vo is equal to change in pressure over bulk mod, and change in pressure is 200 atm/Biron. I get 0.02% but that doesn't work.[/B]
 
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  • #2
Show you calculations. Is the percentage change in volume positive or negative?
 

What does "percentage change in interior volume" mean?

The percentage change in interior volume refers to the difference in the amount of space inside a given object or space. It is often used to measure changes in size or capacity over time.

How is the percentage change in interior volume calculated?

The percentage change in interior volume is calculated by taking the difference between the original volume and the new volume, dividing it by the original volume, and then multiplying by 100 to get the percentage.

Why is it important to measure the percentage change in interior volume?

Measuring the percentage change in interior volume allows us to track changes in size or capacity over time. This can be useful in various fields such as architecture, construction, and engineering to ensure accuracy and make informed decisions.

What factors can affect the percentage change in interior volume?

The percentage change in interior volume can be affected by various factors such as expansion or contraction due to temperature changes, structural changes, and alterations to the original design or materials used.

How can we minimize the percentage change in interior volume?

To minimize the percentage change in interior volume, measures can be taken to control external factors such as temperature and humidity, use stable and durable materials, and regularly maintain the object or space to prevent structural changes.

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