Question
How does the parameter Ma* differ from the Mach number $\mathrm{Ma}$ ?
Step 1
The Mach number $\mathrm{Ma}$ is a dimensionless quantity representing the speed of an object moving through a fluid, such as air or water, compared to the speed of sound in that fluid. Show more…
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The Mach number is a dimensionless ratio of the velocity of an object in a fluid to the speed of sound in the fluid. For an airplane flying at velocity $V$ in air at absolute temperature $T,$ the Mach number Ma is \[ \mathrm{Ma}=\frac{V}{\sqrt{k R T}} \] where $k$ is a dimensionless constant and $R$ is the specific gas constant for air. Show that Ma is dimeasionless.
An important dimensionless parameter concerned with very high-speed flow is the Mach number, defined as $V / c$, where $V$ is the speed of the object such as an airplane or projectile, and $c$ is the speed of sound in the fluid surrounding the object. For a projectile traveling at 800 mph through air at $50^{\circ} \mathrm{F}$ and standard atmospheric pressure, what is the value of the Mach number?
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