High School

The length, \(d\), of a violin string varies inversely as the frequency, \(f\), of its vibrations (cycles per second). Suppose it is known that a 16-inch-long violin string vibrates 320 cycles per second.

A. Write an inverse variation equation modeling this information.

B. Use your inverse variation equation from Part A to determine the frequency of an 8-inch-long violin string.

Answer :

An 8-inch violin string has a frequency of 640 cycles per second using the inverse variation equation.

Who defines frequency?

  • The pace of direction changes in current per second is known as frequency. It is expressed in hertz (Hz), a unit of measurement that is used internationally.
  • One hertz is equivalent to one cycle per second. One hertz (Hz) is equivalent to one cycle per second.

Given: A 16-inch violin string is known to vibrate at 320 cycles per second.

We know that,

Using the frequency equation where l for the length of the string and f for the frequency.

f = k/l

320 = k/16

k = 5120

So, the equation becomes f = k/l

For l = 8

f = 5120/8

f = 640

Therefore, the frequency of an 8-inch-long violin string is 640 cycles per second.

Learn more about frequency here:

https://brainly.com/question/12990032

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