Question

what is the buoyant force on a helium balloon with a radius of 30cm in air if density air = 1.29 kg/m^3?

Answer 1

What is the buoyant force on a helium balloon with a radius of 30cm in air if density air = 1.29 kg/m^3?

Solution:

Let:

$$R = 30 \text{cm} = 0,3 \text{m}$$ $$\rho(\text{air}) = 1,29 \text{kg/m}^3$$ $$F - ?$$

According to Archimedes' principle:

$$F = \left(\rho(\text{air}) - \rho(\text{He})\right) * V * g = \left(\rho(\text{air}) - \rho(\text{He})\right) * \frac{4}{3} \pi R^3 * g$$ $$F = (1,29 - 0,178) * \frac{4}{3} * 3.14 * 0,3^3 * 9,8 = 1,23 \text{N}$$

Answer:

1,23N

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