Pure Water
How much force will a Cubic Foot of air produce in pure water?
For example, a barrell with a density of 1.0, and one cubic foot of air in it, how much force can be applied on it before it sinks, assuming its placed in pure water?
There are a number of forces to keep track of:
1. the weight of the barrel
2. the weight of a cubic foot of air
3. the weight of water displaced by the barrel
4. the weight of water displaced by the cubic foot of air
The weight of water displaced will equal the amount of force resisting the submersion of the barrel.
Since the barrel conveniently has a density of 1.0 (equal to pure water), we can ignore it completely (its downward weight balances the upward displacement force)
To submerge the barrel, the downward force and the downward weight of air must equal the upward force generated by the displaced water. Since the air density is not mentioned, and water is over 800 times as dense as air at normal sea level pressure, we can ignore the weight of air for a first order approximation.
Downward force = weight of water = (volume of water) x (density)
Pure water has a density of 1.0, or 62.42 lb/cu.ft
Downward force required is ~ 62.42 lbs. For a more accurate result, feel free to include the slight effect of the air (about .07 lbs)
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