Wave Motions: Wavelength, Period and Transit-time Calculator

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For a uniform nondispersive wave, propagation speed equals frequency times wavelength. This calculator applies that relation and converts an entered feature size into wavelengths and transit time.

Wave Motions Interactive Calculator

Enter a uniform propagation speed, frequency and feature length. Outputs are ideal kinematic conversions—not attenuation, reflection, resolution, dispersion or a material inspection model.

0°

Ideal wavelength
--
Feature length in wavelengths
--
Ideal period
--
Ideal feature transit time
--

Equation Used

lambda=v/f; feature wavelengths=d/lambda; period=1/f; ideal feature transit time=d/v.
Speed is an entered constant. Real media can be dispersive, anisotropic or lossy; wavelength alone does not establish detectability or spatial resolution.
  • Propagation speed is uniform and constant.
  • Frequency is a single entered value.
  • The ideal wave is nondispersive.
  • Feature size is an entered path length for ratios and transit time.
  • Amplitude, attenuation, impedance, reflection, refraction, mode conversion, bandwidth and sensor response are omitted.
Related Video: Combined Linear Motions
Video: Controlling two linear motions of an object 7 by Nguyen Duc Thang (thang010146) on YouTube. Used here to complement the diagram below.
Same mechanism and inputs as the interactive calculator.

Wave-Speed Relation

A NIST publication states the simple propagating-wave relation speed = frequency × wavelength. This page applies that identity to entered values and adds direct time and length conversions.

What This Calculator Represents

The tool is a unit-consistent wave kinematics calculation for a chosen constant speed.

Ideal Wave Calculation

lambda=v/f
d/lambda
T=1/f
t=d/v

These identities do not predict amplitude or detection performance.

Worked Conversion

At 5,900 m/s and 5 MHz, ideal wavelength is 1.18 mm. A 6 mm feature spans about 5.08 wavelengths, period is 0.200 microseconds and ideal transit time is about 1.017 microseconds.

Assumptions and Limits

  • Calculated: wavelength, wavelength count, period and ideal transit time.
  • Illustrated: generic transverse displacement and direction of propagation.
  • Not calculated: material response, modes, attenuation, reflections, dispersion, resolution or sensor behavior.

Frequently Asked Questions

Is speed predicted?

No; it is entered.

Does wavelength equal resolution?

No.

Are losses included?

No.

Is the medium necessarily transverse?

No; the picture is generic.

Does the tool model reflections?

No.

Can this qualify an inspection?

No.

References

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