A 22 g string is under 23 N of tension. A pulse travels the length of the string in 40 ms . How long is the string?

The length of the string is 1.67 m

The speed of a wave is determined by the features of the medium in which the wave travel.  The frequency of the sound generated is largely determined by the wave speed on the strings as well as the wavelength.

The wave speed of a stretched spring from the knowledge of linear density and tension can be expressed as:

where;

The wave speed of the spring can be computed as:

Recall that:

the velocity of an object can also be expressed:

∴

Equating both above equations together, we have:

By expressing length L the subject, we have:

From the given information;

L = 1.67 m

Therefore, we can conclude that the length of the string is 1.67 m

Learn more about the speed of a wave here:

link

Explanation:

Given

mass of string

Tension in the string

Time taken by wave

We know velocity of wave is given by

where

also velocity

From 1 and 2 we get

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