What is the effect of tension on pitch a violin string?

Increasing the tension of a violin string increases its pitch. This is because tension affects the frequency of vibration of the string. When the tension is increased, the string is pulled tighter and becomes stiffer. This makes it more difficult for the string to vibrate, so the frequency of vibration increases and the pitch of the sound increases.

The relationship between tension and pitch is inversely proportional. This means that as the tension increases, the pitch increases, and as the tension decreases, the pitch decreases. This relationship can be expressed mathematically as follows:

```

f = (1/2L)√(T/m)

```

where:

* f is the frequency of vibration in Hertz (Hz)

* L is the length of the string in meters (m)

* T is the tension in Newtons (N)

* m is the mass of the string in kilograms (kg)

As can be seen from the equation, the frequency of vibration is directly proportional to the square root of the tension. This means that a small change in tension can result in a significant change in pitch.