Concept explainers
Estimate the air temperatures and corresponding speeds of sound at altitudes of
Answer to Problem 35P
The air temperatures and corresponding speeds of sound at altitudes of
Explanation of Solution
Given data:
Refer to Table given in problem 18.35 in textbook,
The air temperature at altitude
The air temperature at altitude
The speed of sound at altitude
The speed of sound at altitude
The air temperature at altitude
The air temperature at altitude
The speed of sound at altitude
The speed of sound at altitude
Formula used:
Formula for the linear interpolation is,
Calculation:
To find the air temperature at altitude
The diagrammatic representation for the given value is drawn below,
Substitute
Equation (2) can be reduced as follows,
Reduce the equation as follows,
Therefore, the air temperature at an altitude
To find the speed of sound at an altitude
The diagrammatic representation for the given value is drawn below,
Substitute
Equation (3) can be reduced as follows,
Reduce the equation as,
Therefore, the approximate value of speed of sound at an altitude
To find the air temperature at altitude
The diagrammatic representation for the given value is drawn below,
Substitute
Equation (4) can be reduced as follows
Reduce the equation as follows,
Therefore, the air temperature at an altitude
To find the speed of sound at an altitude
The diagrammatic representation for the given value is drawn below,
Substitute
Equation (5) can be reduced as follows
Reduce the equation as follows,
Therefore, the approximate value of speed of sound at an altitude
Conclusion:
Thus, the air temperatures and corresponding speeds of sound at altitudes of
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Chapter 18 Solutions
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