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The Mach Number M of an Airplane Is the Ratio θ\theta

Question 68

Multiple Choice

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\theta of the cone by sin(θ/5) =1/M\sin ( \theta / 5 ) = 1 / M .  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  \theta   of the cone by  \sin ( \theta / 5 )  = 1 / M  .       Rewrite the equation in terms of  \theta .   A)    \theta = 5 \sin \left( \frac { 1 } { M } \right)   B)    \theta = \sin \left( \frac { 1 } { M } \right)   C)    \theta = \sin ^ { - 1 } \left( \frac { 1 } { M } \right)   D)    \theta = 5 \sin ^ { - 1 } \left( \frac { 5 } { M } \right)   E)   \theta = 5 \sin ^ { - 1 } \left( \frac { 1 } { M } \right)
Rewrite the equation in terms of θ\theta .


A) θ=5sin(1M) \theta = 5 \sin \left( \frac { 1 } { M } \right)
B) θ=sin(1M) \theta = \sin \left( \frac { 1 } { M } \right)
C) θ=sin1(1M) \theta = \sin ^ { - 1 } \left( \frac { 1 } { M } \right)
D) θ=5sin1(5M) \theta = 5 \sin ^ { - 1 } \left( \frac { 5 } { M } \right)
E) θ=5sin1(1M) \theta = 5 \sin ^ { - 1 } \left( \frac { 1 } { M } \right)

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