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Weather & the Earth

The Doppler effect

A passing ambulance doesn't change its siren — but you hear it leap high then drop low. The sound the source makes and the sound you receive are two different things.

Plate 45 — The passing siren f' = f/(1∓v/c)
Watch the waves bunch ahead and stretch behind as the siren races by.
Predict firstBefore you speed up the source: why does a passing siren leap high then drop low?
youpitch you hear:▲ higherwaves bunch up in front (high pitch) · spread out behind (low pitch)
PLATE 45 · THE PASSING SIREN
Source speed 55% of wave speed
Faster = bigger pitch jump. At 100% you'd build a sonic boom.
Coming toward you
×2.22pitch
Going away
×0.65pitch
An ambulance siren doesn't change — but what you hear does. As it races toward you, each new sound wave is launched a little closer than the last, so the waves pile up and reach your ear more often: a higher pitch. Once it passes, each wave starts a little farther away, so they spread out and arrive less often: the pitch drops. That sudden "neeeeow" as it shoots past is the switch from piling-up to spreading-out.
Try with the plate
  • Speed the source up and watch the wavefronts crowd ahead of it.
  • Find the speed where the bunched waves form a shock front.

The Doppler effect is why a passing siren leaps high then drops low even though the source never changes its note. As it approaches, each sound wave starts a little closer than the last, so the waves bunch up and reach you more often — a higher pitch. Once past, they spread out and the pitch falls.

The short answer

As a siren races toward you, each sound wave it makes starts a little closer than the last, so the waves pile up and hit your ear more often — a higher pitch. The instant it passes, each new wave starts a little farther away, so they spread out and arrive less often — the pitch drops. The siren never changed; your distance to each new wave did.

The common mix-up

Most people think a passing siren changes its note. In fact the driver hears one constant tone; the shift lives entirely in the relative motion, as waves bunch up ahead of the source and stretch out behind it.

What's actually happening

Stand still while an ambulance speeds past and you hear an unmistakable "neeeee-yowww" — a high steady tone that drops to a lower one the moment it passes. The driver hears no such thing; to them the siren is one constant note. What you're hearing isn't the siren changing. It's the difference between the sound being made and the sound arriving, and it comes entirely from the source's motion.

Picture each crest of sound as a ring spreading out from where it was born. A still siren drops its rings like a stone in a pond — evenly spaced in all directions. But a moving siren has crept forward by the time it emits the next crest, so ahead of it the rings get launched closer and closer together, bunching up; behind it they're launched farther and farther apart, stretching out. Bunched-up waves reach your ear more frequently, higher pitch, while stretched waves arrive less often — lower pitch. The faster the source moves, the bigger the squeeze, which the simulator makes literal: slide the speed up and watch the front wavefronts crowd together.

The same geometry runs through far more than sirens, because it works for any wave. A police radar gun bounces microwaves off your car and reads your speed from how much the reflection's frequency shifted. Astronomers measure how fast distant galaxies are fleeing from the redshift of their light — the cosmic version of the receding siren, and the first evidence the universe is expanding. A hospital Doppler scan hears the pitch shift of ultrasound bouncing off flowing blood. And if you push a sound source all the way up to the speed of sound itself, the bunched-up waves can no longer get out of the way and pile into a single shock front: the sonic boom.

Remember this

The sound a source makes and the sound you receive are two different things — the same frequency shift reads speed in radar guns and reveals an expanding universe in starlight.

Try it at home Hum past a friend
  1. 1Have a friend stand still while you hum a steady, constant note and run past them in a straight line (a bike works even better).
  2. 2Ask them what they heard: the note clearly dropped in pitch as you passed, even though you held it dead steady the whole time.
  3. 3Now swap places. To the runner the note never changes — proof that the Doppler shift lives in the relative motion between source and listener, not in the sound itself.

Common questions

Does the driver of the ambulance hear the shift?

No. To them the siren is one constant note. The shift lives entirely in the relative motion between the source and the listener, not in the sound itself.

Does the Doppler effect work on light too?

Yes, on all waves. Astronomers measure how fast distant galaxies recede from the redshift of their light — the cosmic version of the receding siren, and the first evidence the universe is expanding.

What does a police speed camera use?

A radar gun bounces microwaves off your car and reads your speed purely from how much the reflection's frequency shifted — no stopwatch, no measured distance.

Built & checked by Nilesh Singh · how this is made · last updated June 2026