
Concept explainers
How does the V-shape of a shock wave depend on the speed of the wave source?

The method for dependence of the V-shape of the shock wave on the speed of the wave source.
Answer to Problem 22RQ
The V-shape of the shock wave varies with the speed of the wave source because the V-shape of the shock wave only appears due to greater speed of the object than the speed of the wave source.
Explanation of Solution
The shock waves are the extended form of the bow waves. The bow waves are produced due to the two-dimensional effect of the wave barrier but the shock waves produce due to the three-dimensional effect of the wave barrier.
The V-shape of the bow waves occurs due to the overlapping of the circles at the tipping edge but the V-shape of the shock waves occurs due to the overlapping of the spheres at the tipping edge of the object.
The V-shape of the shock wave depends on the wave speed. The V-shape appears only if the speed of the object becomes greater than the wave speed. The more is the speed of the object than the speed of the wave source sharper is the V-shape of the shock wave.
Conclusion:
Therefore, the V-shape of the shock wave varies with the speed of the wave source because the V-shape of the shock wave only appears due to greater speed of the object than the speed of the wave source.
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