Question

The frequency of a stringed instrument is inversely proportional to the string length. If aninstrument produces 518 hertz frequency with a string length of 54 cm, then what will thefrequency be for 32 string length in cm?Hint: Remember an inverse proportion means the ratio of either frequencies or string lengthsneeds be reversed or inverted.y= where y can represent the hertz and x can represent the string, while k is a constant.The frequency is in hertz, but you do not need to use a label for your answer. You only need toenter the number. Round to the nearest tenth if necessary.

Answer 1

Given:

frequency is inversely proportional to the string length

let y be the frequency = 518 hertz

let x be the string length = 54 cm

$y=\frac{1}{x}$

Asked: What will the frequency with a string length of 32 cm?

Solution:

$32\operatorname{cm}\cdot\frac{518hertz}{\frac{1}{54}cm}=895,104\text{hertz}$

ANSWER: 895,104 hertz