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23 Nov 2019
Consider a man whose weight is w = 177 lb. Find the minimum radius(m) of
a helium balloon that will lift him off the ground. The density ofhelium gas is
0.178 kg/m3, and the density of air is 1.29 kg/m3. Neglect theweight of the deflated
balloon itself. Assume that the shape of the balloon is a sphere.Neglect the buoyant
force of the air on the man. (b) If we replace the helium withhydrogen gas, how much
more weight (lb) can the balloon lift? The density of hydrogen gasis 0.089 kg/m3. (Find
how much weight in excess of w the same balloon inflated to thesame volume can lift.)
Caution: the answer is not w anymore. The buoyant force is thesame. Only the weight
of the gas has changed.
Consider a man whose weight is w = 177 lb. Find the minimum radius(m) of
a helium balloon that will lift him off the ground. The density ofhelium gas is
0.178 kg/m3, and the density of air is 1.29 kg/m3. Neglect theweight of the deflated
balloon itself. Assume that the shape of the balloon is a sphere.Neglect the buoyant
force of the air on the man. (b) If we replace the helium withhydrogen gas, how much
more weight (lb) can the balloon lift? The density of hydrogen gasis 0.089 kg/m3. (Find
how much weight in excess of w the same balloon inflated to thesame volume can lift.)
Caution: the answer is not w anymore. The buoyant force is thesame. Only the weight
of the gas has changed.
Irving HeathcoteLv2
6 Jan 2019
