In noisy factory environments, its 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. Part A To cancel the sound at the workers location with a speaker that exactly duplicates the machines hum, how far from the worker should the speaker be placed? Assume a sound speed of 340 m/s.
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