Marching Band doppler effect with Beat Frequency.

In summary, Emma and Don are playing in a band and Don tunes his instrument to match Emma's note as she marches towards him. When Emma stops, Don notices a beat frequency of 5 Hz. The relationship between Emma's speed and the frequency she is emitting can be represented by the equation f0+5=f0[(v)/(v-vEmma)], where f0 is the original frequency and v is the speed of sound. This is due to the Doppler effect, which causes a shift in pitch when there is relative motion between the source and the observer.
  • #1
Ethan_Tab
57
2

Homework Statement


Emma and Don are playing in a band. While emma is marching toward Don, Don tunes his instrument to match the note that emma is playing. When emma stops, don immediately notices a beat frequency of 5 Hz. If the speed of the sound is 330m/s what is the relationship between Emmas speed and the frequency she is emmiting?

Homework Equations


fobs=f0[(v)/(v+-vsource)]
Bear Frequency= |f2-f1|
v=ƒλ

The Attempt at a Solution


at the speed which emma is moving, her note due to the doppler effect is shifted to a higher pitch which is what don tunes his instrument too. when she stops, the frequency of emmas note drops by 5Hz, to the actual note which was truly being played. Thats all i understand... what's the best way to get started?
 
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  • #2
Just to add to what I just said, we can represent that first part through

fobs=f0+5
therfore
f0+5=f0[(v)/(v-vEmma)]
 
  • #3
Ethan_Tab said:
what is the relationship between Emmas speed and the frequency she is emmiting?
Ethan_Tab said:
f0+5=f0[(v)/(v-vEmma)]

Isn't that a relationship between Emma's speed and the frequency she's playing? So what's the problem?
 

Related to Marching Band doppler effect with Beat Frequency.

1. What is the Marching Band doppler effect with Beat Frequency?

The Marching Band doppler effect with Beat Frequency is a phenomenon in which the perceived pitch of a sound changes as the source of the sound moves towards or away from the listener. In the context of a marching band, this effect can be heard when the band is moving towards or away from the audience, causing a change in the pitch of the music.

2. How does the doppler effect work in a Marching Band?

The doppler effect works in a Marching Band when the band members are moving at a constant speed towards or away from the audience. As the band moves towards the audience, the pitch of the music appears to increase due to the compression of sound waves. Conversely, as the band moves away from the audience, the pitch appears to decrease due to the stretching of sound waves.

3. What is the Beat Frequency in relation to the Marching Band doppler effect?

The Beat Frequency is the difference between the frequency of the sound waves emitted by the marching band and the frequency of the sound waves received by the audience. This difference in frequency creates a "beating" sound that is heard when the band is moving towards or away from the audience, and is a result of the doppler effect.

4. How does the Beat Frequency affect the perception of the Marching Band music?

The Beat Frequency can affect the perception of the Marching Band music by creating a perceived change in pitch as the band moves towards or away from the audience. This can add an interesting and dynamic element to the music, as well as enhance the overall listening experience for the audience.

5. Is the Marching Band doppler effect with Beat Frequency important to consider in performances?

Yes, the Marching Band doppler effect with Beat Frequency is an important factor to consider in performances. Band directors and members should be aware of the effect and how it can impact the overall sound of the music. This can help with planning and choreography, as well as ensuring a cohesive and enjoyable experience for the audience.

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