Calculate frequency shift using Doppler Effect formula for relative motion between source and observer
The Doppler Effect describes how the frequency of a wave changes when its source is moving relative to an observer. This phenomenon is commonly observed in sound waves and light waves. The frequency shift occurs because the motion of the source or observer causes the waves to be compressed or stretched, resulting in a change in their frequency.
The Doppler Effect has numerous applications in various fields, including physics, astronomy, and engineering. For instance, it is used to measure the velocity of celestial objects, detect weather patterns, and analyze blood flow in medical imaging.
The formula for calculating the Doppler Effect frequency shift is: f' = f * ((v + vr) / (v + vs)), where f' is the observed frequency, f is the emitted frequency, v is the speed of the wave, vr is the velocity of the receiver relative to the medium, and vs is the velocity of the source relative to the medium.
| Emitted Frequency (Hz) | Source Velocity (m/s) | Observer Velocity (m/s) | Observed Frequency (Hz) |
|---|---|---|---|
| 1000 | 20 | 0 | 943.4 |
| 1000 | 0 | 20 | 1062.5 |