Mathematics, 11.02.2020 04:02 Marcus2935
The mach number M 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 θ of the cone by the equation below.
Sin(θ/2)=1/M
(a) Find the angle θ that corresponds to a mach number of 1.
θ= degrees
(b) Find the angle θ that corresponds to a mach number of 5.
θ= degrees
(c) The speed of sound is about 760 miles per hour. Determine the speed of an object having the mach numbers from parts (a) and (b).
Mach Number of 1 mph
Mach Number of 5 mph
(d) Rewrite the equation in terms of θ
Answers: 2
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The mach number M of an airplane is the ratio of its speed to the speed of sound. When an airplane t...
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