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Degger [83]
2 years ago
9

A fighter plane is flying overhead at mach 1.20. What angle does the wave front of the shock wave produced make relative to the

plane's direction of motion (in degrees)?
Physics
1 answer:
Sever21 [200]2 years ago
7 0

Answer: 56.44°

Explanation:

<u>Given:</u>

  • Let u represent the current speed of the plane, <u>1.2 Mach</u>

<em>Converting to SI Units (m/s):</em>

= (1.2 mach)(340 ms^-1 / 1 Mach)

u  = 408 m/s

  • Speed of sound in air, v = 340 m/s

<u>Find:</u>

  • Angle the wave front of the shock wave relative to the plane's direction of motion, θ

We have, sinθ = speed of sound / speed of object

               sinθ = v / u

                   θ = sin^-1 (v / u)  

                      = sin^-1 (340 / 408)

                   θ = 56.44°

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