The formula to calculate the natural frequency of a spring is:
\[ f = \frac{\sqrt{\frac{k}{m}}}{2\pi} \]
Where:
A natural frequency is a frequency that a system will naturally oscillate at. It is determined by the physical properties of the system, such as the spring constant and mass in the case of a spring-mass system.
Let's assume the following values:
Using the formula:
\[ f = \frac{\sqrt{\frac{200}{5}}}{2\pi} = 1.0066 \text{ Hz} \]
The Natural Frequency is 1.0066 Hz.
Let's assume the following values:
Using the formula:
\[ f = \frac{\sqrt{\frac{300}{10}}}{2\pi} = 0.8704 \text{ Hz} \]
The Natural Frequency is 0.8704 Hz.
