
(a)
Find the angle

Answer to Problem 7.75P
Explanation of Solution
Given information:
The balloon is filled with helium gas
The diameter is equal to
The weight is
The helium pressure is
Atmospheric pressure
The drag force is defined as,
In above equation,
The buoyancy force is defined as,
The specific heat capacity
Assume, the air at
Assume,
The specific heat capacity of helium is equal to,
Calculation:
Calculate the density of helium,
For vertical force balance,
Where,
Calculate the buoyancy force,
Substitute for known values,
Calculate the vertical force,
Calculate the Reynolds’s number,
Therefore, laminar flow
According to table 7.3 the drag co-efficient is equal to
Calculate the drag force,
Calculate the tilted angle,
According o the given information,
Therefore,
Conclusion:
The tilted angle is equal to
(b)
Find the angle

Answer to Problem 7.75P
Explanation of Solution
Given information:
The balloon is filled with helium gas
The diameter is equal to
The weight is
The helium pressure is
Atmospheric pressure
According to sub-part a,
We have found that the net vertical force is equal to,
The drag force is defined as,
In above equation,
Assume, the air at
Calculation:
Calculate the Reynolds’s number,
Therefore, turbulent flow
According to table 7.3 the drag co-efficient is equal to
Calculate the drag force,
Calculate the tilted angle,
According o the given information,
Therefore,
Conclusion:
The tilted angle is equal to
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Chapter 7 Solutions
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