Archimedes Principle
What is the radius of a hydrogen filled balloon that would carry a load of 5750 N ( in addition to the weight of the hydrogen) when the density of air is 1.29kg/m^3. ( density of hydrogen is .0899kg/m^3).
2006-11-16 19:25:34 · 3 answers · asked by Dani S 1 in Science & Mathematics ➔ Physics
Achumedes Principle:
The buoyant force is the upward force that a fluid applies to an object that is partially or completely immersed in it.
Archimedes' principles stated that the magnitude of the buoyant force equals the weight of the fluid that the partially or completely immersed object displaces:
F(B) = W ( Fluid)
Magnitude of Weight of
buoyant force Displaced fluid
2006-11-16 19:46:22 · update #1
The net force is the volume of the balloon times the density difference between air and hydrogen (∆d) times g. From archimedes principle: the bouyant force is dair*V*g, the weight of hydrogen is dhyd*V*g, so the net force is the difference, or (dair - dhyd)*V*g =∆d*V*g. The volume of the baloon is (4/3)πr^3.
r = cuberoot[3*F/(4π * ∆d * g)]
This comes out 4.89 m
2006-11-16 19:47:52 · answer #1 · answered by gp4rts 7 · 0⤊ 0⤋
Awesome answers given
2016-08-08 19:32:33 · answer #2 · answered by Joanna 4 · 0⤊ 0⤋
just solve this eq for r and u have the answer
4/3pr^3 * (Ph) * g +5750 = 4/3pr^3 * (Pair) * g
p is pie
Ph is density of hydrogen
Pair is density of air
2006-11-16 21:11:13 · answer #3 · answered by daluv 1 · 0⤊ 1⤋