What is the pressure ratio of an aircraft moving in air at a velocity 500m/s and speed of sound is 244 m/s?(a) 4.556(b) 3.327(c) 6.256(d) 2.565The question was asked during an interview for a job.Query is from Measurement of Airspeed topic in chapter Atmosphere and Air Data Measurement of Aircraft Performance

What is the pressure ratio of an aircraft moving in air at a velocity

1.	What is the pressure ratio of an aircraft moving in air at a velocity 500m/s and speed of sound is 244 m/s?(a) 4.556(b) 3.327(c) 6.256(d) 2.565The question was asked during an interview for a job.Query is from Measurement of Airspeed topic in chapter Atmosphere and Air Data Measurement of Aircraft Performance
Answer» CORRECT OPTION is (B) 3.327 Best explanation: The answer is 0.458. Given V=500m/s, a=244m/s. We KNOW γ of air is 1.4. From\(\frac{p_1}{p_2}\)=\(\Big\{1+\frac{\gamma-1}{2}(\frac{V1}{a1})^2\Big\}^\frac{\gamma}{\gamma-1}\) On substituting the values \(\frac{p_1}{p_2}=\Big\{1+\frac{500}{244}\Big\}^\frac{1.4}{1.4-1}\) \(\frac{p_1}{p_2}\)=3.327.

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