How Does Quadrupling Playback Speed Affect the Mach Number in Film Effects?

AI Thread Summary
Quadrupling playback speed while filming a boat chase scene at a quarter of the intended speed will not accurately represent the Mach number. The Mach number, defined as the velocity of the boat divided by the speed of sound, will be misrepresented because the actual speed of the boats is significantly lower than perceived. Additionally, increasing playback speed alters the frequency of sounds, leading to unrealistic audio effects that do not match the visual action. The sound produced during filming will not synchronize correctly with the faster playback, resulting in a disjointed viewing experience. Therefore, this approach will not achieve the desired special effects realistically.
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Speed of Sound and Mach

Homework Statement


You are hired as the physics consultant for a large movie studio. The producer is way over budget and wants to perform some special effects that will save him money. He decides to shoot the dramatic action boat chase scene with the boats going at 1/4 the speed of what will be seen on film. He quadruples the speed of playback. Explain why or why not this will work.


Homework Equations



Mach # = velocity of boat/ speed of sound
Speed of sound = 331 + 0.60*T
T = temperature


The Attempt at a Solution



I don't even know where to begin. I don't think it will work, but maybe if someone could point me in the right direction?
 
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I think the idea is that the sound won't be right. What happens to the frequency of the sounds heard when playback is quadrupled?
 
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