An aircraft flying faster than the speed of sound produces sound waves that pile up behind the aircraft in the form of a cone. The cone of a level flying aircraft intersects the ground in the form of a hyperbola and along this curve, there is a sonic boom. It was shown that: speed of sound sin 2 speed of aircraft where 0 is the cone angle. speed of aircraft The ratio: M = speed of sound is the Mach number. Earth So sin- 2 M Нурerbola A Mach number of 2.3 indicates an aircraft moving at 2.3 times the speed of sound. Find the cone angle 0 if M =
An aircraft flying faster than the speed of sound produces sound waves that pile up behind the aircraft in the form of a cone. The cone of a level flying aircraft intersects the ground in the form of a hyperbola and along this curve, there is a sonic boom. It was shown that: speed of sound sin 2 speed of aircraft where 0 is the cone angle. speed of aircraft The ratio: M = speed of sound is the Mach number. Earth So sin- 2 M Нурerbola A Mach number of 2.3 indicates an aircraft moving at 2.3 times the speed of sound. Find the cone angle 0 if M =
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I got 47.2 degrees as my answer. (47 rounded). Is that correct?
![An aircraft flying faster than the speed of sound produces sound waves that pile up
behind the aircraft in the form of a cone. The cone of a level flying aircraft intersects the
ground in the form of a hyperbola and along this curve, there is a sonic boom. It was
shown that:
speed of sound
sin
2 speed of aircraft
where 0 is the cone angle.
speed of aircraft
The ratio: M =
speed of sound
is the Mach number.
Earth
So sin-
2 M
Нурerbola
A Mach number of 2.3 indicates an
aircraft moving at 2.3 times the speed of
sound. Find the cone angle 0 if M =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e4013eb-babb-4770-9243-fb3338b3d4a1%2F348df1e5-8d0b-4772-8c78-b2332e70871d%2Fjpsfmcb.jpeg&w=3840&q=75)
Transcribed Image Text:An aircraft flying faster than the speed of sound produces sound waves that pile up
behind the aircraft in the form of a cone. The cone of a level flying aircraft intersects the
ground in the form of a hyperbola and along this curve, there is a sonic boom. It was
shown that:
speed of sound
sin
2 speed of aircraft
where 0 is the cone angle.
speed of aircraft
The ratio: M =
speed of sound
is the Mach number.
Earth
So sin-
2 M
Нурerbola
A Mach number of 2.3 indicates an
aircraft moving at 2.3 times the speed of
sound. Find the cone angle 0 if M =
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