# How do you calculate tension in the string?

• hellokitty
In summary, a guitar string with a linear density of 2.0 g/m is observed to form a standing wave with three antinodes when driven at a frequency of 420 Hz. The tension in the string can be determined by using formulas related to frequency and period, but the individual discussing the problem does not have any formulas or information on tension from their book or teacher. They are advised to refer to a helpful webpage for further guidance.
hellokitty

## Homework Statement

A guitar string with a linear density of 2.0 g/m is stretched between supports that are 60 cm apart. The string is observed to form a standing wave with three antinodes when driven at a frequency of 420 Hz.

What is the tension in the string?

Please show us what you've tried so far.

I don't have any formulas to even begin solving the problem. i just know f= v/x an f= 1/period? My book does not have any formulas pertaining to tension and the teacher never taught us this information.

## 1. How do you calculate tension in the string?

The tension in a string can be calculated by using the equation T= F * L, where T is the tension, F is the force applied, and L is the length of the string.

## 2. What is the unit of measurement for tension?

The unit of measurement for tension is Newtons (N) in the SI system. In the English system, it is measured in pounds (lbs).

## 3. How do you determine the force needed to create a certain tension in the string?

The force needed to create a certain tension in the string can be determined by rearranging the equation T = F * L to F = T / L. This means that the force is equal to the tension divided by the length of the string.

## 4. Does the length of the string affect the tension?

Yes, the length of the string does affect the tension. The longer the string, the greater the tension needed to achieve the same amount of stretch or displacement.

## 5. Can tension in a string be negative?

No, tension in a string cannot be negative. Tension is a force that is always pulling in the direction of the string and cannot push or pull in the opposite direction.

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