Beats Video Lessons

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# Problem: An all-female guitar septet is getting ready to go on stage. The lead guitarist, Kira, who is always in tune, plucks her low E string, and the other six members, sequentially, do the same. Each member records the initial beat frequency between her low E string and Kira's low E string.To tune an instrument using beats, more information than just the beat frequency is needed. In addition to recording the initial beat frequency, each member, except Diane, also records the change in the frequency (increase or decrease) when they increase the tension in their low E string.Rank each member on the basis of the initial frequency of their low E string.Rank from largest to smallest. To rank items as equivalent, overlap them.Aiko=3Hz, fbeat increasesChandra=1Hz fbeat decreasesEvita=5Hz fbeat decreases.Freja=3Hz fbeat decreases.Buffy=4Hz fbeat increases.

###### FREE Expert Solution

The beat frequency is expressed as:

$\overline{){{\mathbf{f}}}_{\mathbf{b}\mathbf{e}\mathbf{a}\mathbf{t}}{\mathbf{=}}{\mathbf{|}}{\mathbf{∆}}{\mathbf{f}}{\mathbf{|}}}$

Kira's and Diane's guitars are playing the same note and are also in tune. The beat frequency between them will be 0Hz.

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###### Problem Details

An all-female guitar septet is getting ready to go on stage. The lead guitarist, Kira, who is always in tune, plucks her low E string, and the other six members, sequentially, do the same. Each member records the initial beat frequency between her low E string and Kira's low E string.

To tune an instrument using beats, more information than just the beat frequency is needed. In addition to recording the initial beat frequency, each member, except Diane, also records the change in the frequency (increase or decrease) when they increase the tension in their low E string.

Rank each member on the basis of the initial frequency of their low E string.
Rank from largest to smallest. To rank items as equivalent, overlap them.

Aiko=3Hz, fbeat increases
Chandra=1Hz fbeat decreases
Evita=5Hz fbeat decreases.
Freja=3Hz fbeat decreases.
Buffy=4Hz fbeat increases.