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1. A note has a wavelength of 0.77955 m. If the speed of sound is 343.00 m/s, what pitch is this note?

2. A note has a wavelength of 0.52028 m. If the speed of sound is 343.00 m/s, what pitch is this note?

3. A note has a wavelength of 0.65552 m. If the speed of sound is 343.00 m/s, what pitch is this note?

4. A D note has a frequency of 587.33 Hz. Calculate its wavelength in meters.

5. A B note has a frequency of 493.88 Hz. Calculate its wavelength in meters.

6. An F note has a frequency of 698.46 Hz. Calculate its wavelength in meters.

7. A note has a wavelength of 0.5840 m. If the speed of sound is 343.00 m/s, what pitch is this note?

8. A note has a wavelength of 0.4375 m. If the speed of sound is 343.00 m/s, what pitch is this note?

9. A G note has a frequency of 783.99 Hz. Calculate its wavelength in meters.

10. An E note has a frequency of 659.26 Hz. Calculate its wavelength in meters.

Respuesta :

Each problem is worth 4 points.  Make sure you show your work! 

1.     A note has a wavelength of 0.77955 m. If the speed of sound is 343.00 m/s, what pitch is this note?

f = (343m/s) / 0.77955m = 439.997 0r 440 Hz Pitch is an A.

 

2.     A note has a wavelength of 0.52028 m. If the speed of sound is 343.00 m/s, what pitch is this note?

f = (343 m/s) / 0.52028m = 659.26 Hz Pitch is an E

 

 

3.     A note has a wavelength of 0.65552 m. If the speed of sound is 343.00 m/s, what pitch is this note?

f= (343 m/s)/0.65552m = 523.25 Hz Pitch is a C

 

 

4.     A D note has a frequency of 587.33 Hz. Calculate its wavelength in meters.

λ= (343 m/s)/587.33Hz = 0.584 m

 

5.     A B note has a frequency of 493.88 Hz. Calculate its wavelength in meters.

λ= (343 m/s)/493.88Hz=0.6945m

(1) When the wavelength is 0.77955 m, the frequency is 440 Hz.

(2) When the wavelength is 0.52028 m, the frequency is 659.26 Hz

(3)  When the wavelength is 0.65552 m , the frequency is 523.25 Hz.

(4)  When the frequency is 587.33 Hz, the wavelength is 0.5834 m.

(5)  When the frequency is 493.88 Hz , the wavelength is 0.6945 m.

(6)  When the frequency is 698.46 Hz, the wavelength is 0.491 m.

(7) When the wavelength is 0.5840 m, the frequency is 587.33 Hz.

(8) When the wavelength is 0.4375 m, the frequency is 784 Hz.

(9) When the frequency is 783.99 Hz, the wavelength is 0.4375 m.

(10) When the frequency is 659.26 Hz, the wavelength is 0.5203 m.

The pitch of a musical note depicts the frequency of the sound and it is calculated as;

[tex]f = \frac{v}{\lambda}[/tex]

(1) When the wavelength is 0.77955 m and the speed is 343 m/s. The frequency is calculated as;

[tex]f = \frac{343}{0.77955} \\\\f = 440 \ Hz[/tex]

(2) When the wavelength is 0.52028 m and the speed is 343 m/s. The frequency is calculated as;

[tex]f = \frac{343}{0.52028} \\\\f = 659.26 \ Hz[/tex]

(3)  When the wavelength is 0.65552 m and the speed is 343 m/s. The frequency is calculated as;

[tex]f = \frac{343}{0.65552} \\\\f = 523.25 \ Hz[/tex]

(4)  When the frequency is 587.33 Hz and the speed of sound is 343 m/s. The wavelength is calculated as;

[tex]\lambda = \frac{v}{f} \\\\\lambda = \frac{343}{587.33} \\\\\lambda = 0.5834 \ m[/tex]

(5)  When the frequency is 493.88 Hz and the speed of sound is 343 m/s. The wavelength is calculated as;

[tex]\lambda = \frac{v}{f} \\\\\lambda = \frac{343}{493.88} \\\\\lambda = 0.6945 \ m[/tex]

(6)  When the frequency is 698.46 Hz and the speed of sound is 343 m/s. The wavelength is calculated as;

[tex]\lambda = \frac{v}{f} \\\\\lambda = \frac{343}{698.46} \\\\\lambda = 0.491 \ m[/tex]

(7) When the wavelength is 0.5840 m and the speed is 343 m/s. The frequency is calculated as;

[tex]f = \frac{343}{0.5840} \\\\ f = 587.33 \ Hz[/tex]

(8) When the wavelength is 0.4375 m and the speed is 343 m/s. The frequency is calculated as;

[tex]f = \frac{343}{0.4375} \\\\ f = 784 \ Hz[/tex]

(9) When the frequency is 783.99 Hz and the speed of sound is 343 m/s. The wavelength is calculated as;

[tex]\lambda = \frac{v}{f} \\\\\lambda = \frac{343}{783.99} \\\\\lambda = 0.4375 \ m[/tex]

(10) When the frequency is 659.26 Hz and the speed of sound is 343 m/s. The wavelength is calculated as;

[tex]\lambda = \frac{v}{f} \\\\\lambda = \frac{343}{659.26} \\\\\lambda = 0.5203 \ m[/tex]

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