The shock wave off the cockpit of the FA 18 in Figure has an angle of about60°.The airplane was traveling at about1350 km/hwhen the photograph was taken. Approximately what was the speed of sound at the airplane’s altitude?

Short Answer

Expert verified

The speed of the sound at airplane’s altitude is325 m/s

Step by step solution

01

The given data

  1. Angle of shock wave off the cockpit isθ=600
  2. Speed of airplane isVa=1350 km/hor375 m/s
02

Understanding the concept of shock wave

We use the concept of the shock wave. First, we convert the given velocity of the airplane in m/s, and then, using the equation of shock wave, we find the speed of sound.

Formula:

The speed of the sound using equation of shock wave,

sinθ=VsVa …(i)

Where, Vais the speed of the airplane.

03

Calculation of the speed of sound at airplane’s altitude

Using the given values and equation (i), we can get the speed of the sound as:

sin600=Vs375 m/sVs=sin600×375 m/s=324.75 m/s325 m/s

Hence, the value of the speed of the sound is 325 m/s.

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