# Fundamental Frequency, Shortening the length of the spring

• x3lifelove
In summary, the fundamental frequency is the lowest frequency at which an object or system can vibrate and is determined by its physical properties. The length of a spring affects its fundamental frequency, with shorter springs having a higher frequency due to their higher stiffness. Other factors such as temperature, tension, and material composition can also impact the fundamental frequency of a spring. It can be changed by altering its physical properties or external factors, and can be measured using a frequency analyzer or calculated using equations of simple harmonic motion.
x3lifelove
The fundamental frequency of a spring that is 25 cm long is 441 Hz. In order to produce a fundamental frequency, using the same spring of 525 Hz, the string must be shortened to what length?

Assume that both ends of the string are fixed. How is related the wavelength of the standing waves to the length of the string?
How is related the wavelength to the frequency and speed of propagation?
What is fundamental frequency?

ehild

## 1. What is fundamental frequency?

The fundamental frequency is the lowest frequency at which an object or system can vibrate. It is also known as the first harmonic and is determined by the physical properties of the object, such as its mass and stiffness.

## 2. How does the length of a spring affect its fundamental frequency?

The shorter the length of a spring, the higher its fundamental frequency. This is because a shorter spring has a higher stiffness, which leads to a higher frequency of vibration.

## 3. What factors can affect the fundamental frequency of a spring?

The fundamental frequency of a spring can be affected by its length, mass, and stiffness. Other factors such as temperature, tension, and material composition can also play a role in determining the fundamental frequency.

## 4. Can the fundamental frequency of a spring be changed?

Yes, the fundamental frequency of a spring can be changed by altering its physical properties, such as its length or mass. It can also be affected by external factors, like temperature or tension.

## 5. How is the fundamental frequency of a spring measured?

The fundamental frequency of a spring can be measured by attaching it to a device that can detect its vibrations, such as a frequency analyzer. The frequency can also be calculated using the spring's physical properties and the equations of simple harmonic motion.

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