1. A balloon is filled to 1.5 ft3 at 0 fsw . What is the balloon\'s volume at 55

Question

1. A balloon is filled to 1.5 ft3 at 0 fsw. What is the balloon's volume at 55 fsw?

What is the buoyant force acting on the balloon when it is at 55 fsw?

If the same balloon is taken to a depth of 108 fsw, what is the buoyant force acting on the balloon?

2. Average human lungs hold 0.085 ft3 of gas after a normal exhalation. Average human lungs can hold 0.212 ft3 after a maximal inhalation. In freshwater, what is the increase in buoyancy from a normal exhalation to a maximal inhalation?

HINT: Calculate the buoyant force acting on a 0.212 ft3 object in freshwater and subtract the buoyant force acting on a 0.085 ft3 object in freshwater.

Explanation / Answer

As during normal exhalation, V = 0.085 ft3 = 0.00241 m3 that means buoyancy = d*V*g = (1000)*(0.00241)*(9.8) = 23.618 N

during maximal inhalation, V = 0.212 ft3 = 0.00600 m3 that means buoyancy = d*V*g = (1000)*(0.00600)*(9.8) = 58.8 N

hence the change in buoyancy = 58.8 – 23.618 = 35.182 N

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