Natural Frequency Calculator | Resonant Frequency of a Mass-Spring System

The Natural Frequency Calculator is a tool used in physics and engineering to determine the resonant frequency of a system based on its mass and stiffness. The resonant frequency is the frequency at which a system naturally oscillates when disturbed.

Natural Frequency Calculator – Instantly Estimate the Resonant Frequency of a Mass-Spring System

Mass of Object (kg) The mass attached to the spring, in kilograms. Must be greater than 0.

Spring Stiffness (N/m) The spring constant (k), in newtons per meter (N/m). Must be greater than 0.

Frequency Output Units Hertz (Hz) Radians per second (rad/s) Choose whether to see the result in cycles per second (Hz) or radians per second (rad/s).

Decimal Places 2 3 4 How many decimal places to show in the result.

Example Presets: Small Lab Mass: 0.5 kg, 200 N/m, Hz Car Suspension: 60 kg, 15,000 N/m, Hz Industrial Spring: 250 kg, 80,000 N/m, Hz Lightweight Drone: 0.15 kg, 35 N/m, Hz Engineering Demo: 1.2 kg, 500 N/m, rad/s

Calculate Reset

Calculating...

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Understanding the Formula behind the Natural Frequency

The formula for calculating the natural frequency of a system is given by:

Where:

• f represents the natural frequency in Hertz (Hz).
• k is the stiffness of the system measured in Newtons per meter (N/m).
• m is the mass of the system measured in kilograms (kg).

How the Calculator Works

The calculator provided here allows users to input the mass and stiffness values of a system. Upon clicking the “Calculate” button, the JavaScript code retrieves these values and performs the calculation using the aforementioned formula.

Using the Natural Frequency Calculator

1. Enter the mass of the system in kilograms.
2. Enter the stiffness of the system in Newtons per meter.
3. Click the “Calculate” button.
4. The result will display the natural frequency of the system in Hertz.

Conclusion

The Natural Frequency Calculator simplifies the process of determining the resonant frequency of a system, aiding engineers, physicists, and students in various fields of study and design.