Question

a spherical balloon 1.6m diameter is completely immersed in water and chained to the bottom.if tha chain has a tension induced is 10kn ,the weight of the balloon in air is
A.11kN
B.20kN
C.6.2kN
D.1kN​

Answer 1

Answer:

6.2kN

Explanation:

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Answer 2

Given:

A spherical balloon 1.6m diameter is completely immersed in water and chained to the bottom. The chain has a tension induced is 10 kN.

To find:

Weight of balloon in air ?

Calculation:

When the balloon has been completely immersed inside water and is in equilibrium, we can say that:

$F_{b} = T + W$

$\implies \: V \rho g = T + W$

$\implies \: ( \dfrac{4}{3}\pi {r}^{3} ) \rho g = T + W$

$\implies \: \bigg\{ \dfrac{4}{3}\pi {(0.8)}^{3} \bigg\}\rho g = T + W$

$\implies \: \bigg\{2.14 \bigg\}\rho g = T + W$

$\implies \: \bigg\{2.14 \bigg\} \times 1000 \times 10 = 10000 + W$

$\implies \: 21400 = 10000 + W$

$\implies \: W = 11400 \: N$

$\implies \: W = 11.4\: kN$

$\implies \: W \approx 11\: kN$

So, weight in air is approx 11 kN.