Doppler Effect

The Doppler Effect

When a sound source moves toward you, successive wavefronts are compressed — the frequency you hear is higher. Moving away stretches them — the frequency is lower.

f_ ext{obs} = f_0 cdot rac{v}{v - v_s}

• $f_0$ — emitted frequency (Hz)
• $v = 343$ m/s — speed of sound
• $v_s$ — source velocity (m/s): positive = moving toward observer

Sign Convention

Examples ($f_0 = 440$ Hz)

Your Task

Implement dopplerShift(f0, vSource) returning the observed frequency ($v = 343$ m/s).

Run the code to hear the Doppler shift — ascending then descending pitch.