Vibration Amplitude Calculator

Summary

This calculator computes the three key amplitudes of simple harmonic motion (SHM): peak displacement (x₀), peak velocity (v₀ = ωx₀), and peak acceleration (a₀ = ω²x₀), where ω = 2πf. Enter any two known values and it solves for the third. Results are shown in SI units with optional unit conversion.

How it works

1. Enter the oscillation frequency in Hz.
2. Choose which amplitude you know: displacement, velocity, or acceleration.
3. Enter the known peak amplitude value with its unit.
4. Click "Calculate" to compute all three amplitudes using ω = 2πf.
5. Switch the input unit (m, mm, μm for displacement; m/s, mm/s for velocity; m/s², g for acceleration) as needed.

Use cases

• Check whether a machine's vibration displacement stays within ISO tolerance.
• Convert between peak displacement, velocity, and acceleration specs on a datasheet.
• Size a vibration isolation mount by knowing the source acceleration level.
• Verify accelerometer sensitivity requirements for a given displacement target.
• Teach SHM relationships in physics or engineering courses.
• Cross-check vibration sensor readings between different measurement types.

Frequently Asked Questions