Mach Number The mach number of an airplane is the ratio of its speed to the speed of

Chapter 5, Problem 121

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Mach Number The mach number of an airplane is the ratio of its speed to the speed of sound. When an airplane travels faster than the speed of sound, the sound waves form a cone behind the airplane (see figure). The mach number is related to the apex angle of the cone by (a) Find the angle that corresponds to a mach number of 1. (b) Find the angle that corresponds to a mach number of 4.5. (c) The speed of sound is about 760 miles per hour. Determine the speed of an object with the mach numbers from parts (a) and (b). (d) Rewrite the equation in terms of _.

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