In noisy factory environments, it\'s possible to use a loudspeaker to cancel per

Question

In noisy factory environments, it's possible to use a loudspeaker to cancel persistent low-frequency machine noise at the position of one worker. The details of practical systems are complex, but we can present a simple example that gives you the idea. Suppose a machine 5.5m away from a worker emits a persistent 90Hz hum.

To cancel the sound at the worker's location with a speaker that exactly duplicates the machine's hum, how far from the worker should the speaker be placed? Assume a sound speed of 340 m/s.

Explanation / Answer

yes, it is possible

use the codition for destrucive interference as ( y1-y2) = m+0.5) *L

where L is waveelength

so

Y1-Y2 = 1.5 * (340/90)

Y1-Y2 = 5.67 m is the distnace from speaker

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