The formula to calculate the observed frequency of the Doppler effect is:
\[ \text{f} = \text{f0} \times \frac{\text{v} + \text{vr}}{\text{v} + \text{vs}} \]
Where:
The Doppler effect describes the change in frequency of a wave in relation to an observer who is moving relative to the wave source. When waves are emitted from a moving object, the observed frequency changes for the observer. This effect is commonly experienced with sound waves, such as the change in pitch of a passing siren.
Let's consider an example:
Using the formula to calculate the observed frequency:
\[ \text{f} = 500 \times \frac{340 + 10}{340 + 20} = 500 \times \frac{350}{360} \approx 486.11 \text{ Hz} \]
This means that the observed frequency (f) is approximately 486.11 Hz.
