Calculating String Tension: Mass, Length, and Frequency

Thread starter benjicolon
Start date Feb 23, 2014
Tags

Frequency Length Mass String Tension

In summary, string tension refers to the amount of force applied to a string to produce a specific sound or note. It is calculated using the formula T = (m * L * f^2) / 4L, where T is the tension, m is the mass, L is the length, and f is the frequency of the string. The mass, length, and frequency of a string all directly affect its tension, as a heavier string requires more tension to produce a specific note, a longer string requires less tension, and a higher frequency also requires more tension.

Feb 23, 2014

benjicolon

Homework Statement

What is the tension of the string?

Mass of piano string- 3.5g
Lenght of piano string- 75cm
Fundamental frecuency- 469Hz

Homework Equations

λ=2L/n ?

Dont know where to start.

Physics news on Phys.org

Feb 24, 2014

hilbert2

Science Advisor

Insights Author

Gold Member

This page should help: http://hyperphysics.phy-astr.gsu.edu/hbase/waves/string.html .

Related to Calculating String Tension: Mass, Length, and Frequency

1. What is string tension?

String tension refers to the amount of force applied to a string in order to produce a specific sound or note. It is affected by factors such as the mass, length, and frequency of the string.

2. How do you calculate string tension?

The formula for calculating string tension is T = (m * L * f^2) / 4L, where T is the tension, m is the mass of the string, L is the length of the string, and f is the frequency of the string.

3. How does the mass of a string affect its tension?

The mass of a string directly affects its tension. The heavier the string, the higher the tension required to produce a specific note. This is because a heavier string requires more force to vibrate at a specific frequency.

4. How does the length of a string affect its tension?

The length of a string also has a direct effect on its tension. The longer the string, the lower the tension required to produce a specific note. This is because a longer string has a lower natural frequency, meaning it requires less force to vibrate at a specific frequency.

5. How does the frequency of a string affect its tension?

The frequency of a string also plays a role in determining its tension. The higher the frequency, the higher the tension required to produce a specific note. This is because a higher frequency requires a faster vibration, which in turn requires more force.