An important dimensionless parameter concerned with very high-speed flow is Mach Number, defined as V/c, where V is the speed of the object such as airplane or projectile, and c is the speed of sound in the fluid surrounding the object. Jet airliners typically fly at altitudes of between approximately 0 to 40,000 ft.
a. Show on a graph how the speed of sound varies over this range
b. If the Jet has is flying at 500 mph at an altitude of 30,000 ft what is the value of the Mach number?