Two musicians, ?1M1 and ?2M2, are trying to play music together. To tune their instruments, they...

Two musicians, ?1M1 and ?2M2, are trying to play music together. To tune their instruments, they both play at the same time and produce notes at different frequencies. Musician ?1M1 produces a note with frequency ?1=309.5 Hzf1=309.5 Hz while musician ?2M2 produces a note with frequency ?2=281.8 Hzf2=281.8 Hz. Assume the speed of sound in air is 343 m/s343 m/s.

Part 1)

Unsatisfied with their different notes, musician ?2M2 decides to remain stationary while musician ?1M1 travels towards them. If ?1M1 plays their original note while travelling with a constant velocity of 23.67 m/s23.67 m/s towards ?2M2, what is the frequency of the note that ?2M2 hears ?1M1 playing? Give your answer to 3 significant figures.

?=f= Hz Hz

Part 2)

If ?2M2 plays their original note while ?1M1 continues to move towards them and play their note, what is the beat frequency that ?2M2 hears?

?beat=fbeat= Hz Hz

Part 3)

?2M2 decides that they want to hear a beat frequency of 41.6 Hz41.6 Hz. If both musicians play their original notes, how fast will ?1M1 have to move towards ?2M2 to achieve this?

?=v= m/s

Solutions

Expert Solution

genius_generous answered 2 years ago

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