I have a question and couldn't find any answer to it anywhere.
How do you determine the speed which with you will sink under water if you tie yourself to a heavy object.
The reason behind this question is an argument I had with a friend. He suggested that if you tie yourself to a 100kg block of lead and threw yourself into the ocean you would still drown, while I said the pressure would kill you before the lack of oxygen would.
Any help with that?
depends on the density of the 100kg block
>>8336691
Most people have a hard time staying more than a minute under water, and water pressure would be forcing their lungs to empty out a bit before they got crushed. They'd drown.
Now, a trained freediver, they can go for 3 or 4 minutes, and they go pretty damn near deep as the human body can tolerate. They'd get crushed.
>>8336711
It's lead, mister dubs.
>>8336711
>100kg block of lead
Lead is 11340 kg/m3
>>8336711
fug sorry op, you specified lead.
>>8336715
But you don't die after 3-4 Minutes under water, do you? You can survive up to 10 Minutes without air.
>>8336725
Sorry, I was distracted when typing that. Unconscious after 3-4 minutes, and at that point you are sucking in a lungful of water most like.
At that point, since you are still descending, you are dead, just some bits haven't stopped moving, really.
Maybe should define 'dead' here...
>>8336733
So, how deep would one be after say 4 minutes?
I can't find a formula for sinking speed for the love of it.
>>8336736
http://www.wikihow.com/Calculate-Terminal-Velocity
I'd post the actual equation here, but no fucking idea how to do that shit yet.
>>8336736
It's not just the density of the lead. A large person weighs about 100kg, too. So the thing that's sinking is roughly half human and half lead. You would need to know the volume/density of the human, too.
The speed at which it sinks is just the acceleration of gravity (9.81m/s^2) minus the drag. Calculating the drag of an object passing through water is not easy and depends very heavily on the shape of the object.
http://www.brighthubengineering.com/hydraulics-civil-engineering/58434-drag-force-for-fluid-flow-past-an-immersed-object/
It would also depend on whether or not the guy was flailing around, which he probably would be.
The density of a normal health human is a little over the density of water, at around 1,02 g / cm3.
Now the density of seawater is also about 1,02 g /cm3. Lead has a density of 11,34 g /cm3. You weigh about 75 kg. So the total density is 100/175 * 11,34 + 75/175 * 1,02, which is about 6,9. Gravitys pull will be 175*6,9 * 9,82 = 11858 N.The water will be pushing you up with 1,02 * (175000/6,9 /100^3) * 9,82 = 0,25 N. Meaning your force downwards would be 11858 N. Not sure if this formula will work, but F/m = a. So 11858/175 = 67,8 m/s^2, which seems ridiculous. I must have done something wrong :/
>>8338233
That's exactly my problem. I always end up with values that are completely out of question.