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Doppler Effect Moving Source — result sheet
Calculate the observed frequency and shift for a stationary observer and a one-dimensional moving source in a still medium.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: For a stationary observer and moving source in a still medium, f_observed = f_source v/(v - v_source), with positive source speed defined as motion toward the observer and |v_source| < v.
This calculator applies the one-dimensional moving-source Doppler relation and returns observed frequency plus frequency shift. It assumes a stationary observer and still medium, uses a signed source speed, and rejects sonic or supersonic source motion because that regime needs a different model.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Source frequency — Hz; Positive frequency emitted by the source.; minimum 0.001; maximum 1000000
- Wave speed in the medium — m/s; Positive wave speed for a still medium.; minimum 1; maximum 1000000
- Signed source speed toward observer — m/s; Positive means approaching the stationary observer; negative means receding.; minimum -999999; maximum 999999
Worked example
| Input | Value |
|---|---|
| Source frequency | 150 |
| Wave speed in the medium | 340 |
| Signed source speed toward observer | 34 |
A 150 Hz source approaching at 34 m/s in a 340 m/s medium is observed at about 166.666667 Hz, a shift of about 16.666667 Hz.
Assumptions and limits
- The observer is stationary relative to the medium and the source moves along one line.
- The medium is still, the source frequency is positive, and positive source speed means approach.
- The source speed magnitude is strictly less than the wave speed for this subsonic relation.
- Wind, moving observers, shock waves, changing source frequency, geometry, and acoustic safety are outside the calculation.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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