Calculate the natural frequency of a simple mass-spring system.
System Parameters
N/m
kg
Calculation Results
Enter parameters to calculate
Quick Reference
fNatural Frequency (Hz)
ωAngular Frequency (rad/s)
kSpring Stiffness (N/m)
mMass (kg)
Overview
The natural frequency is the frequency at which a system tends to oscillate in the absence of any driving or damping force. For a simple mass-spring system, it depends solely on the stiffness of the spring and the mass of the object.
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Pro Tips
Stiffness is measured in Newtons per meter (N/m).
Mass should be in kilograms (kg) for standard SI results.
Increasing the mass lowers the natural frequency.
Increasing the stiffness increases the natural frequency.
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Fun Facts
"Every object has a natural frequency. If you hit it at that frequency, resonance occurs, which can lead to dramatic oscillations."
"Tall buildings are designed to have natural frequencies that won't be excited by common wind patterns or earthquakes."
"The Tacoma Narrows Bridge collapse is a famous (though complex) example of aeroelastic flutter related to natural frequencies."