I'm trying to find the maximum mass in kg that can be carried on water by a gas-flotation device such as an inner tube, per volume of the inner tube (in m^3). I worked the equation like this: (p = density)
//maximum weight capacity = buoyancy in water - weight of gas
mg = p(water)*Vg - p(gas)*Vg
m = V*( p(water) - p(gas) )
m/V = p(water) - p(gas)
Did I do this right? According to this, air can carry roughly 999 kg/m^3 and helium can carry 999.8 kg/m^3, which doesn't sound right..
//maximum weight capacity = buoyancy in water - weight of gas
mg = p(water)*Vg - p(gas)*Vg
m = V*( p(water) - p(gas) )
m/V = p(water) - p(gas)
Did I do this right? According to this, air can carry roughly 999 kg/m^3 and helium can carry 999.8 kg/m^3, which doesn't sound right..
-
Sounds about right.
Since most gases are a VERY small fraction of the density of water, the lifting capacity is virtually the same for all gasses.
Remember, too, that your 'm' includes the mass of the inner tube.........
Since most gases are a VERY small fraction of the density of water, the lifting capacity is virtually the same for all gasses.
Remember, too, that your 'm' includes the mass of the inner tube.........
-
It is perfectly correct. the δ of water is 1000kg/m^3, so what you showed is how much weigth can be supported before it completely begins to sink.