Question

Calculate the buoyant force of air (density 1.20 kg/m3 ) on a spherical party balloon that has a radius of 17.0 cm .

Answer 1

The buoyant force of air will be 246.25 N.Buoyancy force is the multiplication of the density, gravity, and volume.

What is buoyancy force?

A fluid exerts an upward force against the weight of a partly or completely submerged item. The weight of the overlying fluid causes pressure to rise with depth in a column of fluid.

The buoyancy force is found by the formula as;

$\rm F_B = \rho g V$

$\rm \rho$ is the density

g is the acceleration due to gravity

V is the volume

$\rm F_B$ is the buoyancy force

The volume of the spherical balloon is;]

$\rm V= \frac{4}{3} \pi r^3 \\\\ \rm V= \frac{4}{3} \times 3.14 (17.0 \times 10^{-2})^3 \\\\ V=0.2056 \ m^3$

The buoyancy force is found by the formula as;

$\rm F_B = \rho g V \\\\ \rm F_B = 1.20 \times 9.81 \times 0.2056 \\\\F_B = 246.25 \ N$

Hence the buoyant force of air will be 246.25 N.

To learn more about the buoyancy force refer to the link;

https://brainly.com/question/13267336

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