I'm looking over a question I got right on an exam. And then, as I was making out my newly discovered formula I wanted to write n a flash card in a collection I call "Dive physics for the rest of us", my train of thought CRASHED. Ok, I've turned this things upside down, inside out, right side up, I've even kicked it a few times!
The nemisis is in boyles law it's self, or is it?
The nastly little buggar is: "You have determined that it will require 440 pounds of lift to raise an object from the ocean floor. The object is 85 feet deep, how much air will be required from an 80 cuft 3000psi cylinder to raise the object"?
Possible solutions are, 672 psi, 922, psi, 2828 psi, 440 psi.
Now that's great! But it's proving it to myself that boyles law works in this problem.
I've been trying to write a BETTER working formula for this, my problem is, I won't walk away from it. It's become a test of wills. I have to know why it works, not just the solution. My brain won't accept anything less than proving it. (I know, I really need a "normal" hobby) but this little monster must die!!
Now, I know the answer is 922 psi, but to prove my own BS fell through the cracks. First, I found the volume at depth, then find absolute pressure (That is easy enough), find the surface volume, then find pressure used from cylinder..
Ok, that works, The answer is found every time.(After I pop two tylenol) but it's LONG, it's UGLY and there has got to be a better formula.
And no, this is not a troll post, I don't think Trolls can even conceptualize algebra.
Any takers in the pursuit for a more sensible formula?
The nemisis is in boyles law it's self, or is it?
The nastly little buggar is: "You have determined that it will require 440 pounds of lift to raise an object from the ocean floor. The object is 85 feet deep, how much air will be required from an 80 cuft 3000psi cylinder to raise the object"?
Possible solutions are, 672 psi, 922, psi, 2828 psi, 440 psi.
Now that's great! But it's proving it to myself that boyles law works in this problem.
I've been trying to write a BETTER working formula for this, my problem is, I won't walk away from it. It's become a test of wills. I have to know why it works, not just the solution. My brain won't accept anything less than proving it. (I know, I really need a "normal" hobby) but this little monster must die!!
Now, I know the answer is 922 psi, but to prove my own BS fell through the cracks. First, I found the volume at depth, then find absolute pressure (That is easy enough), find the surface volume, then find pressure used from cylinder..
Ok, that works, The answer is found every time.(After I pop two tylenol) but it's LONG, it's UGLY and there has got to be a better formula.
And no, this is not a troll post, I don't think Trolls can even conceptualize algebra.
Any takers in the pursuit for a more sensible formula?