Description
Calculate sinusoidal particle-velocity amplitude from displacement amplitude and frequency.
Physical quantities require compatible units, coordinate directions, reference origins and model assumptions. Mass and weight, angular and cyclic frequency, particle velocity and wave speed are distinct quantities. Ideal single-axis, linear-spring and constant-torque terms describe supplied models rather than identify real material behavior or safe operating limits.
Calculate sinusoidal particle-velocity amplitude from displacement amplitude and frequency.
When to use this tool
Use Acoustic Particle Displacement Velocity Factor when you already have displacementAmplitudeMeters, frequencyHertz and need to calculate sinusoidal particle-velocity amplitude from displacement amplitude and frequency.
How to use the tool and how it works
- Enter displacementAmplitudeMeters, frequencyHertz. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read velocityAmplitudeMetersPerSecond. Use the output convention below.
Require nonnegative displacement in m and frequency in Hz; return 2π*f*amplitude in m/s.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| displacementAmplitudeMeters | Displacement Amplitude Meters | Required. Finite number; minimum 0. |
| frequencyHertz | Frequency Hertz | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| velocityAmplitudeMetersPerSecond | Sinusoidal particle-velocity amplitude 2π*f*displacement, not wave propagation speed. | Required. Finite number. |
{
"input": {
"displacementAmplitudeMeters": 0.001,
"frequencyHertz": 100
},
"output": {
"velocityAmplitudeMetersPerSecond": 0.6283185307179586
}
}Limitations and assumptions
- This is oscillatory particle velocity, not sound propagation speed, pressure, intensity or a hearing-safety assessment.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use the full force, energy or wave model with compatible reference frames and units for a physical prediction. Include changing loads, material behavior and losses when the ideal constant-parameter term no longer represents the system.
References
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