- #1
negatifzeo
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Homework Statement
You look directly overhead and see a plane exactly 1.4·km above the ground, flying faster than the speed of sound. By the time you hear the sonic boom, the plane has traveled a horizontal distance of 2.4·km.
(a) Find the angle of the shock wave cone.
(b) Find the speed of the plane (Mach number).
Homework Equations
Sin (shock wave cone angle)=(c/v)
PLane Speed= v/c
v=velocity of source
c=speed of sound
The Attempt at a Solution
The plane is 1400 meters high. When the shockwave is heard, the plane has traveled 2400 meters horizontally. Sound travels at 343 m/s. 1400/343 gives me 4.08 seconds. 2400/4.08 gives the plane a speed of 588 m/s.
Sin-1(343/588)=35.7 degrees. Of course, I'm here because these are not the correct answers and I don't know why. Any clues as to what I did wrong would be greatly appreciated.