# Calculating Tension Required for 4*10^-4m Extension of Steel Wires on a Violin

• edcm
In summary, to calculate the tension required for a 4*10^-4m extension of steel wires on a violin, Hooke's Law can be used. The spring constant of steel wires used on a violin is typically around 200 N/m. The extension of steel wires can significantly affect the sound of a violin, and factors such as thickness, length, type of steel, and temperature can also impact the tension required. The tension can be adjusted using fine tuners and tuning pegs on the instrument.
edcm

## Homework Statement

The wires on a violin have a cross section of 5.1*10^-7m^2. The wires are put under tension by turning the wooden pegs. The Young Modulus of Steel is 2.0*10^11 Pa.
Calculate the tension required to produce an extension of 4*10^-4m.

## Homework Equations

Thats where I'm stuck

## The Attempt at a Solution

Do you know a formula with stress and strain in it?
Do you know the definition of stress and strain?
These are what you need to use.

Last edited:
oh, of course. E=(F*L)/(e*A)

no, wait, wrong one, lol

## 1. How do you calculate the tension required for a 4*10^-4m extension of steel wires on a violin?

To calculate the tension required for a 4*10^-4m extension of steel wires on a violin, you will need to use Hooke's Law. This law states that the force required to extend or compress an elastic material is directly proportional to the extension or compression distance. Therefore, you can use the formula T = kΔx, where T is the tension, k is the spring constant of the material, and Δx is the extension distance.

## 2. What is the spring constant of steel wires used on a violin?

The spring constant of steel wires used on a violin can vary depending on the specific type and thickness of the wire. However, on average, the spring constant for steel wires used on a violin is around 200 N/m. This value can also be calculated by dividing the force required to extend the wire by the extension distance.

## 3. How does the extension of steel wires affect the sound of a violin?

The extension of steel wires on a violin can significantly affect the sound produced by the instrument. A higher tension will result in a higher pitch, while a lower tension will produce a lower pitch. Additionally, the tension can also affect the tone and timbre of the sound produced by the violin.

## 4. What other factors can impact the tension required for steel wires on a violin?

Aside from the extension distance, the thickness and length of the steel wires can also impact the tension required for a specific extension. Additionally, the type of steel used and the temperature can also affect the spring constant and therefore the tension required for a specific extension.

## 5. How can the tension of steel wires on a violin be adjusted?

The tension of steel wires on a violin can be adjusted by using the fine tuners located on the tailpiece of the instrument. These fine tuners allow for small adjustments to the tension, while larger adjustments can be made by turning the tuning pegs located at the top of the violin's neck.

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