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

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The pressure at 45 meters underwater is calculated using the formula P = Patm + ρgh, where the density of seawater is 1020 kg/m³ and atmospheric pressure is 101300 Pa. The correct pressure at this depth is 551579 Pa, after correcting an initial miscalculation. The discussion clarifies that the pressure experienced by both large and small objects at this depth is the same, as pressure is uniform in a fluid. The term "estimate" in the context of the problem may imply approximating values rather than using precise calculations. Understanding these concepts is crucial for accurately applying pressure calculations in underwater scenarios.
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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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