Posted by steve on Friday, March 15, 2013 at 4:07pm.
What minimum sized balloon would you have to fill in order to be able to be lifted into the air? Take your mass to be 100 kilograms and the temperature of the outside air to be 20 degrees C. Neglect the mass of the balloon rubber and basket and assume that the balloon is spherical in shape.Determine the minimum diameter of this balloon. Hint: review your notes on buoyant forces.

Physics  Damon, Friday, March 15, 2013 at 4:46pm
You do not say what is in the balloon. Is it Helium, Hydrogen, or hot air?
In any case use Archimedes who is very good at lifting things.
Force up = volume of air displaced times density of air times gravity, (4/3)pi r^3 * density of air at 20 degrees C * g
Weight of interior gas down = same equation but use density of interior gas
so in the end
100 * g = (4/3) pi r^3 [ density air  density gas] * g
Notes :
g cancels
that gives you r, multiply by 2 for d

Physics  steve, Friday, March 15, 2013 at 5:07pm
the gas is mainly methane gas and has a density of about 0.72 kilograms per cubic meter so you know that a balloon filled with natural gas will float because the density is lower than air

Physics  steve, Friday, March 15, 2013 at 5:21pm
Those are the options.I don't get any of those in my calculation but ill continue to try it. Thanks
about 8.5 meters in diameter
about 10.75 meters in diameter
about 7.3 meters in diameter
about 9.2 meters in diameter
about 7.6 meters in diameter
Answer This Question
Related Questions
 physics  If you live in a city your stove can be powered by natural gas. This ...
 physics  A typical volume of a modern hot air balloon is 2500 cubic metres, and...
 Physics, Math  A typical volume of a modern hot air balloon is 2500 cubic ...
 aeronautics  A typical volume of a modern hot air balloon is 2500 cubic metres...
 physics  Some say that the hot air balloons with which the Montgolfier brothers...
 Physics  Hot air balloons float in the air because of the difference in density...
 Physics :(( help please TT  You are a maker of hot air balloons and wish to ...
 science  Some say that the hot air balloons with which the Montgolfier brothers...
 chemistry  A hot air balloon is filled with hot air and the hot air forces the ...
 Chemistry  A hot air balloon is filled with hot air and the hot air forces the ...
More Related Questions