Concept explainers
Determine the maximum amount of load, in kg, the balloon described in Prob. 1–101 can carry Answer: 900 kg
The maximum amount of load can carry by balloon.
Answer to Problem 103RP
The maximum amount of load can carry by balloon is
Explanation of Solution
Show the free body diagram of the balloon.
Write the expression of volume of sphere of a balloon.
Write the expression of the buoyancy force acting on the balloon.
Here, the density of air is
Write the expression of the mass of helium.
Here, the density of the helium is
Write the expression of the total mass (buoyancy force and the weight force).
Here, the force acting on balloon is
Write the expression of the maximum load can carried by balloon.
Here, the total mass of a balloon is
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Thus, the maximum amount of load can carry by balloon is
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