Doppler Shift Velocity Calculator

Formulas

The formula to calculate Observer Velocity (Vo) is:

\[ \text{Vo} = \frac{c \times \Delta f}{fs} \]

The formula to calculate Source Velocity (Vs) is:

\[ \text{Vs} = \frac{c \times \Delta f}{fo} \]

Where:

\( \text{Vo} \) is the Observer Velocity (m/s)
\( \text{Vs} \) is the Source Velocity (m/s)
\( c \) is the Wave Speed (m/s)
\( \Delta f \) is the Change in Frequency (Hz)
\( fs \) is the Source Frequency (Hz)
\( fo \) is the Observer Frequency (Hz)

What is Doppler Shift Velocity?

A Doppler shift velocity describes the velocity of an observer or a source based on the wave speed and change in frequency. It is used to measure how much the observed frequency of a wave changes due to the relative motion between the observer and the source.

Example Calculation

Let's consider an example:

Wave Speed (c): 343 m/s
Change in Frequency (Δf): 5 Hz
Source Frequency (fs): 440 Hz
Observer Frequency (fo): 445 Hz

Using the formula to calculate Observer Velocity (Vo):

\[ \text{Vo} = \frac{343 \times 5}{440} \approx 3.90 \, \text{m/s} \]

Using the formula to calculate Source Velocity (Vs):

\[ \text{Vs} = \frac{343 \times 5}{445} \approx 3.85 \, \text{m/s} \]

This demonstrates that with the given parameters, the observer velocity is approximately 3.90 m/s, and the source velocity is approximately 3.85 m/s.