Can adding sound make a plane quieter?
tap the headphoneA plane engine drones outside Nia's ear. Her headphone has a tiny microphone and a tiny speaker. The speaker may add one more sound. Could adding sound make the roar smaller?
Pressure can rise above or dip below
+ means above the resting air pressure. − means below it. Neither is good or bad.
Two signed pressure values make one total
Same-sign values grow. Opposite-sign values leave a smaller leftover.
Scan the engine's repeating pattern
One full repeat is one cycle. The mic records this amber pattern; the speaker's plan is still blank.
Sent now. Heard later.
Sound takes time to travel. A sound sent now reaches your ear later. At the ear, add the sounds arriving together.
Try a deliberately delayed speaker
In this toy, the mic reads the engine pressure at the ear. We add a long speaker route: its sound arrives half a drone cycle later. Both plans keep using each new mic reading. What should they send?
A toy test: the speaker route takes half a drone cycle.
Which plan leaves less sound at the ear after that delay?
Follow both plans from sending to arrival.
Mic reads +3. Copy sends +3; opposite sends −3. Neither has arrived.