Fundamentals of Aerodynamics
Fundamentals of Aerodynamics
6th Edition
ISBN: 9781259129919
Author: John D. Anderson Jr.
Publisher: McGraw-Hill Education
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Chapter 8, Problem 8.1P

Consider air at a temperature of 230 K. Calculate the speed of sound.

Expert Solution & Answer
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To determine

The speed of sound.

Answer to Problem 8.1P

The speed of sound is v=303.996m/s .

Explanation of Solution

Given:

The temperature of air is T=230K .

Formula used:

The expression for speed of sound is given as,

  v=γRT

Here, γ is the specific heat ratio for the air and R is the gas constant for air.

Calculation:

The value of γ for air is 1.4 and the value of R is 287J/kgK .

The speed of sound can be calculated as,

  v=γRTv=1.4×287J/kgK( 1 kg m 2 s 2 1J )×230Kv=303.996m/s

Conclusion:

Therefore, the speed of sound is v=303.996m/s .

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