Question

A large helium filled balloon is used as the center piece for a graduation party. The balloon alone has a mass of 222 kg and it is filled with helium gas until its volume is 328 m3. Assume the density of air is 1.20 kg/m3 and the density of helium is 0.179 kg/m3. Calculate the buoyant force acting on the balloon.

Answer 1

Answer:

The buoyant force is 3778.8 N in upward.

Explanation:

Given that,

Mass of balloon = 222 Kg

Volume = 328 m³

Density of air = 1.20 kg/m³

Density of helium = 0.179 kg/m³

We need to calculate the buoyant force acting

Using formula of buoyant force

$F_{b}=\rho_{air}\times V_{b}\times g$

Where, $\rho_{air}$ = density of air

V = Volume of balloon

g = acceleration due to gravity

Put the value into the formula

$F_{b}=1.20\times321\times9.81$

$F_{b}=3778.8\ N$

This buoyant force is in upward direction.

Hence, The buoyant force is 3778.8 N in upward.