Calculadora do Efeito Doppler

The Doppler Effect Calculator determines the observed frequency of a wave when the source and observer are in relative motion. The Doppler effect is common in sound and light waves: as an ambulance approaches, the siren sounds higher pitched; as it moves away, it becomes lower. The calculator uses the formula f' = f·(v+v_o)/(v+v_s), where f is the original frequency, v the wave speed in the medium, v_o the observer's velocity (positive toward the source), and v_s the source's velocity (positive toward the observer).

To use the tool, enter the emitted frequency, wave speed, and velocities of source and observer. The result is the perceived frequency. The calculator considers signs: if the observer moves toward the source, v_o is positive; if the source moves toward the observer, v_s is positive. Negative values indicate moving away. The effect is widely used in radar, sonar, astronomy (redshift), and medical ultrasound.

Important precautions: the formula assumes velocities are much less than the speed of light and motion is along the line connecting source and observer. For electromagnetic waves, relativistic formula is needed at high speeds. Also, ensure consistent units (m/s for velocities, Hz for frequency). The calculator does not replace professional analysis in critical situations.