Respuesta :
The Mach number of aircraft is 2.95.
The equation to be used in case of normal shockwave is -
p₁/p₀= 2γM-(γ-1)/(γ+1)
where, γ represents specific heat ratio which is 1.4, p₁/p₀ represents ratio of static pressure after a normal shockwave to before the shockwave, M is Mach number.
Now, keeping the values in formula to find the Mach number.
[tex]9.986 = \frac{2*1.4*M^{2} - (1.4-1) }{(1.4+1)}[/tex]
Performing addition in denominator to find the value of Mach number
[tex]9.986 = \frac{2*1.4*M^{2} - (1.4-1) }{(2.4)}[/tex]
Performing subtraction on Right Hand Side
[tex]9.986*2.4 = 2.8*M^{2} -0.4[/tex]
Performing multiplication on Left Hand Side to find the value of Mach number
[tex]23.97 = 2.8*M^{2} - 0.4[/tex]
Shifting value from Left Hand Side to Right Hand Side
[tex]23.97 + 0.4 = 2.8*M^{2}[/tex]
Performing addition on Left Hand Side to find the value of Mach number
[tex]24.37 = 2.8*M^{2}[/tex]
[tex]M^{2} = \frac{24.37}{2.8}[/tex]
Performing division to find the value of Mach number
[tex]M^{2} = 8.7[/tex]
[tex]M = \sqrt{8.7}[/tex]
Taking square root to calculate the final answer
[tex]M = 2.95[/tex]
Hence, the Mach number is 2.95.
Practice more problems on Mach number of aircraft -
https://brainly.com/question/15187683
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