The pitch of a musical note varies inversely as its wavelength. if a tone has a pitch of 440 vibrations per second and a wavelength of 2.4 feet, find the pitch of a tone that has a wavelength of 1.6 feet

To solve this problem you must apply the proccedure shown below:

1. First, you must calculate the constant of proportionality . You have that the pitch of a musical note varies inversely as its wavelength, therefore:

2. Now, solve for :

3. If the pitch of a tone that has a wavelength of , you must substitute the values of the constant of proportionality and this value of the wavelenght into the equation shown above:

The answer is:

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