Natural Frequency Calculator
Calculate the natural frequency of a mass-spring system.
This tool is for informational and educational purposes only. It is not a substitute for professional financial, medical, legal, or engineering advice. See Terms of Service.
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Enter the spring stiffness in N/m and the mass in kg. The calculator shows the natural frequency in Hz, the angular frequency in rad/s, and the period in seconds.
About Natural Frequency
Every elastic system has a natural frequency at which it will oscillate if disturbed. For a simple mass-spring system without damping, the natural frequency is f = (1/2pi) times the square root of k/m. This concept is fundamental in structural engineering (avoiding resonance in buildings and bridges), mechanical design (vibration isolation), and physics (understanding oscillatory motion). External forces at the natural frequency cause resonance, which can amplify vibrations dramatically.
Frequently Asked Questions
What is natural frequency?
Natural frequency is the frequency at which a system oscillates when displaced from equilibrium and released without external forcing. For a mass-spring system, it depends only on stiffness and mass.
What is resonance?
Resonance occurs when an external force drives a system at its natural frequency, causing large amplitude oscillations. This can be destructive (bridge collapse) or useful (musical instruments).
How do mass and stiffness affect natural frequency?
Increasing stiffness raises the natural frequency (stiffer = faster oscillation). Increasing mass lowers it (heavier = slower oscillation). The frequency is proportional to the square root of their ratio.