Is the pressure on a diver different from the pressure on a lungfish?

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Homework Help Overview

The discussion revolves around the concept of pressure at a depth of 45 meters underwater, specifically comparing the pressure experienced by a diver and a lungfish. Participants are exploring the calculations involved in determining the pressure and the implications of the results.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the calculation of pressure using the formula P = Patm + ρgh, questioning the accuracy of the initial computation and the interpretation of the term "estimate" in the context of the problem.

Discussion Status

There is an ongoing examination of the calculations related to pressure at depth, with some participants correcting earlier mistakes and questioning the meaning of estimation in this context. The conversation is productive, with participants actively engaging in clarifying their understanding of pressure concepts.

Contextual Notes

Participants note the potential confusion surrounding the term "estimate" and its application in the problem, as well as the relevance of atmospheric pressure in the calculations. There is an acknowledgment of the complexity of the problem and the need for precise values in calculations.

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Homework Statement


I'm having some trouble with the concept of pressure, so I'd like to make sure I'm not doing this wrong!

What is the pressure 45 m underwater?

Homework Equations


P = Patm + ρgh

The Attempt at a Solution


Density of seawater = 1020 kg/m3
Patm = 101300 Pa

So P = 101300 Pa + (1020 kg/m3)(9.81 m/s2)(45 m) = 154 274 Pa or 154 kPa.

My question is - the pressure on something huge should be the same as the pressure on something small, right?

Also, I read something about the pressure on a diver being the atmospheric pressure plus the water pressure. But the atmospheric pressure is taken into account already by the formula used, so I don't need to add it in again, correct?

Thanks :)
 
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Right basically. So the question really doesn't have much to do with lungfish. It's just what the pressure is 45m below the sea. But I don't see why you think 101300 Pa + (1020 kg/m3)(9.81 m/s2)(45 m) = 154 274 Pa. That's WAY off. Can you check it again?
 
Whoa, you're right. I don't know how I got that...

(1020 kg/m^3)(9.81m/s^2)(45 m) = 450 279 Pa

Add that to 101 300 Pa and you get 551 579 Pa. I must have skipped a button on my calculator the first time.

I was just confused because the question says "estimate", but this isn't really an estimate. Usually my prof would only ask us to estimate if we didn't exactly know one of the values to use.
 
Guess I'm not sure what "estimate" means in this context either. Unless it just means not using the calculator at all and rounding things off so you get 100000+1000*10*45=550000. Which is pretty close. And doing that might have helped you to realize your were missing a button somehow.
 

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