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atiyawhite7863
13.07.2019 •
Mathematics
The frequency of sound varies inversely as the wavelength. the frequency of a musical note is 276 cycles per second when the wavelength is 1.2m. find the wavelength when the frequency is 600 cycles per second
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Ответ:
Let's assume the frequency of sound be f and wave length is w.
Given that, the frequency of sound varies inversely as the wavelength.
So, we can set up an equation as following:
f*w = k Where k= constant of variation.
Other information is, the frequency of a musical note is 276 cycles per second when the wavelength is 1.2m.
So, next step is to plug in f = 276 and w = 1.2 in the above equation to get the value of k.
276 * 1.2 = k
So, k = 331.2
Next step is to plug in k = 331.2 in the above equation. So,
f * w = 331.2
Now we need to find the wave length : w when frequency : f = 600.
Therefore,
600 * w = 331.2
w = \frac{331.2}{600}
So, w = 0.552
Hence, the wave length is 0.552 m.
Hope this helps you!.
Ответ:
The mode is 7 and 8
The mean is 5.2
The range is 7