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Mach Number

Definition

The ratio of a projectile's speed to the ambient speed of sound; a Mach number greater than 1 indicates supersonic flight and the presence of a Mach-cone shock wave.

Definition
Projectile speed divided by local speed of sound
Supersonic threshold
Greater than 1
Below 1
Subsonic, no Mach-cone shock wave
Relevance
Gunshot acoustic and ballistic analysis

Common questions

How does Mach number relate to the Mach cone in analysis?+

Mach number is the underlying ratio that determines whether a shock wave exists at all, while the Mach cone is the physical geometric consequence, its half-angle, that investigators actually measure or infer from a recording once supersonic flight is established.

Does ambient temperature affect the calculation?+

Yes, because the speed of sound in air varies with temperature, the same projectile velocity corresponds to a slightly different Mach number on a cold day than on a hot one, which matters for precise acoustic reconstructions.

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Mach Cone
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