Vibration Amplitude Calculator
Enter frequency and peak displacement (or velocity or acceleration) to get all three SHM amplitudes instantly.
Input Parameters
Results
Fill in the inputs and click Calculate.
Angular Frequency ω
ω = 2πf
Peak Displacement x₀
x(t) = x₀ · sin(ωt)
Peak Velocity v₀
v₀ = ω · x₀
Peak Acceleration a₀
a₀ = ω² · x₀
Summary
Enter frequency and peak displacement (or velocity or acceleration) to get all three SHM amplitudes instantly.
How it works
- Enter the oscillation frequency in Hz.
- Choose which amplitude you know: displacement, velocity, or acceleration.
- Enter the known peak amplitude value with its unit.
- Click "Calculate" to compute all three amplitudes using ω = 2πf.
- 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
Last updated: 2026-06-11 ·
Reviewed by Nham Vu