Question

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

Answer 1

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

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

$pitch=\frac{k}{wavelenght} \\ 440=\frac{k}{2.4}$

2. Now, solve for $k$:

$k=(440)(2.4)=1056$

3. If the pitch of a tone that has a wavelength of $1.6 feet$, you must substitute the values of the constant of proportionality and this value of the wavelenght into the equation shown above:

$pitch=\frac{1056}{1.6}\\ pitch=660 vibrations$

The answer is: $660 vibrations$

Answer 2

Correct Answer:

660 vibrations