Vibration Analysis (Natural Frequency) Calculator
This calculator helps engineers and professionals determine the natural frequency of mechanical systems. It simplifies complex calculations, providing quick and accurate results crucial for vibration analysis.
Calculator
Results
Source and Methodology
The calculations are based on standard formulas from mechanical engineering principles. All results are verified for accuracy.
The Formula Explained
The natural frequency (f) is calculated using the formula:
f = \frac{1}{2\pi} \sqrt{\frac{k}{m}}
Glossary of Terms
- Spring Constant (k): The stiffness of the spring in N/m.
- Mass (m): The mass of the object in kilograms.
- Natural Frequency (f): The frequency at which the system naturally oscillates in Hz.
Example: How It Works
For a spring constant of 1500 N/m and a mass of 10 kg, the natural frequency is calculated as follows:
f = \frac{1}{2\pi} \sqrt{\frac{1500}{10}} = 1.95 \, Hz
Frequently Asked Questions (FAQ)
What is natural frequency?
Natural frequency is the rate at which a system oscillates in the absence of any driving or damping force.
Why is natural frequency important?
Understanding natural frequency is crucial in design and analysis to avoid resonance, which can cause system failure.
How do I measure spring constant?
The spring constant can be determined experimentally by applying a known force and measuring the displacement.
What units are used in the formula?
The spring constant is in N/m, mass is in kg, and the resulting frequency is in Hz.
Can this calculator be used for all types of springs?
This calculator assumes a linear spring model; results may vary for non-linear springs.