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The Mach Number M of an Airplane Is the Ratio sin(θ/5)=1/M\sin ( \theta / 5 ) = 1 / M

Question 6

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 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 θ of the cone by  \sin ( \theta / 5 )  = 1 / M  .​   ​ Rewrite the equation in terms of θ. ​ 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.


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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