⚠ Science that protects you 🌏 How the Earth works No background needed ~8 min read

Why does the earthquake's little "rattle"
arrive before the big "sway"?

In an earthquake, a small rattle comes first, then, a little later, a big sway hits. This order almost never changes. That's because two kinds of waves set off underground at the same moment, and only one of them arrives first. And this gap of a few seconds is exactly what makes earthquake early warning possible.

Published: 2026.08.16 Difficulty: ★☆☆ (no background needed) Formulas appear only in the final, collapsible section
First, picture how the shaking actually goes

When an earthquake hits, it rarely starts with a big jolt. First there's a faint rattling, a clattering tremor — sometimes just enough to make the dishes chatter.

A few seconds after you think "was that an earthquake?", a big sway arrives. That's the main event. It's usually this shaking that knocks things off shelves and makes it hard to stay on your feet.

The farther away the quake, the longer the gap between the two. If you feel a long pause between them, the source is far away.

Why does shaking from a single earthquake arrive in two separate waves?

1
Two kinds of waves leave the source at the same moment

One is a push-pull wave, the other a side-to-side wave. Both leave the same spot at the same time, but they travel at different speeds.

2
The fast one is small; the slow one is big

The push-pull wave arrives first and shakes gently. The side-to-side wave arrives later and shakes hard. That's why the order is always "small, then big."

This time gap isn't random — it comes straight from the physical properties of the ground itself. Let's look at it step by step.

① Two waves travel differently Push-pull wave (fast, arrives first) compressed travel dir. = shake dir. too Side-to-side wave (slow, arrives later) shake dir. is sideways travel dir. = 90° to shake dir. Ground resists being "sheared" less than "squeezed" → push-pull wave is faster ② Same start, different arrival Epicentre leave together Fast (~6–7 km/s) Slow (~3–4 km/s) Your home rattle sway gap = distance to source
Figure 1: The top shows the two wave types. The push-pull wave compresses and stretches along its direction of travel, like pushing a spring. The side-to-side wave shakes sideways, like flicking a rope. The bottom shows how they arrive. They leave at the same instant but travel at different speeds, so you feel the rattle first, then the sway later. That gap tells you how far away the source is.

Why is the push-pull wave faster?

A solid like the ground can be deformed in two ways.

And materials resist being squeezed strongly, but resist being sheared much more weakly. Think of a rubber eraser: hard to crush, easy to twist sideways.

Wave speed increases with stiffness (resistance) and decreases with mass. It's the same reason a tightly-strung wire produces a higher note (a faster wave) than a slack one.

So the push-pull wave, which relies on the strongly-resisted "squeeze," travels fast, while the side-to-side wave, which relies on the weakly-resisted "shear," travels slowly. The order never reverses.

Both waves leave the same earthquake at the same instant.
The order they arrive in comes down to how the ground resists being deformed.
💡 These two wave types once revealed what's inside the Earth

Here's where it gets remarkable. The side-to-side wave cannot travel through a liquid. A liquid has no "restoring force" to keep its shape, so when sheared it simply doesn't spring back — no wave forms.

In the early 20th century, researchers collecting seismograph records from stations around the world after major earthquakes noticed something odd. In a certain band on the far side of the Earth, the side-to-side wave never arrived at all.

There's only one explanation: there is a layer of liquid inside the Earth. A structure thousands of kilometres down, which no one has ever seen, was revealed purely from records of ground shaking. It's thanks to this observation that we know the Earth's outer core is liquid.

A gap of a few seconds makes the warning possible

Earthquake early warning systems use exactly this time gap.

A station close to the source picks up the faster push-pull wave first and sends that information out as an electrical signal. Electrical signals travel far faster than ground waves, so the alert can arrive before the big shaking does.

But this method has unavoidable limits.

✅ When the alert sounds or the shaking starts — three things to do
  1. Protect your head first, and get lowGet under a sturdy table and hold the legs. No table? Move to a spot nothing can fall on, tip onto, or slide into. Stay away from windows, tall furniture, and hanging light fixtures.
  2. Don't rush outside. Don't run to the stoveFalling debris makes outside dangerous. Turn off the stove only after the shaking stops. Most modern gas appliances already shut off automatically when they detect shaking — approaching one mid-shake is riskier than leaving it.
  3. Once the shaking stops, check you're safe, then actProtect your feet with slippers or shoes (there may be broken glass), and secure an exit route. Call 119 for anyone injured. In places at risk of tsunami, head for high ground immediately — don't wait for a warning.

The "gap" tells you the distance

Try counting the seconds from when the rattling starts to when the sway arrives. Multiply that number by about 8, and you get roughly the distance to the source, in kilometres.

5 seconds means about 40 km away; 10 seconds means about 80 km. It's a simple rule, but it's a relationship discovered in Japan in the 19th century, and it's still used as a rough guide today.

Conversely, an earthquake with almost no gap at all means the source is very close. A sudden, sharp jolt straight up usually means the quake struck right beneath you or nearby.

Something you can check at home

🧪 A 5-minute observation: make both wave types with a spring and a rope
  1. Stretch a long spring (a coiled toy spring works) out on the floor and hold one end
  2. Give the end you're holding a quick push forward and back. A compressed section travels down the spring — that's the push-pull wave
  3. Give the same spring (or a rope) a single flick left-right. A sideways bulge travels down it — that's the side-to-side wave
  4. Compare which is faster by tightening or loosening the spring
  5. Now flick the end of a tray of water left-right. You'll see the sideways disturbance doesn't travel through it at all

The same spring behaves in completely different ways depending on how you flick it. And in water, sideways deformation just doesn't propagate — that's exactly what "the side-to-side wave can't cross a liquid" means, and it's the same clue that revealed the Earth's interior is liquid. Your kitchen tray and the Earth's core follow the same rule.

Summary

The rattle arrives first because the ground resists being squeezed strongly, but resists being sheared only weakly. The wave that relies on the stronger resistance travels faster and arrives first. This gap of a few seconds is what makes earthquake early warning possible — and the very same property once revealed the structure deep inside the Earth.

The first rattle is a warning.
Protect your head before you start counting.

Even after the big shaking stops, the ground itself can weaken in reclaimed land through a process called "liquefaction." We explain how that works in our article on liquefaction. And the reason small tremors can keep following a big quake for days is covered in "Why do aftershocks keep coming for days after a big earthquake?"

Want to go deeper? — Terms, formulas, and how this connects to the textbooksWe've labelled each part by level, from middle-school science to open research questions
How to read the level labels below
  • MSCovered in middle-school science
  • HSCovered in high-school "Basic Physics" / "Basic Earth Science"
  • HS+Covered in high-school "Physics" / "Earth Science," or treated as advanced/sidebar content in textbooks
  • Univ.Not taught in high school — university-level specialist material (seismology, elasticity theory)
  • ResearchNot yet settled even at university level — an open question researchers are actively investigating

MSTerms: earthquake vocabulary

HSWorking it out: counting the small shaking gives you the distance

When an earthquake hits, there's first a small rattling tremor, followed by a bigger shaking. Just by counting the seconds between them, you can work out the distance to the source.

① First, why does it come in two parts?

distance = speed × time

Fast wave (P wave)about 7 km/s
Slow wave (S wave)about 4 km/s
Gap in secondsduration of the small shaking [seconds]

At the exact same moment, from the exact same spot, two waves of different speeds set off. The farther they travel, the wider the arrival gap grows — just like a fast runner and a slow runner pulling apart over a longer race.

In other words, the "gap in seconds" is itself a ruler for distance.

② Setting up the equation

Let the distance to the source be D, and the duration of the small shaking be t. The two arrival times are D ÷ 7 and D ÷ 4. Their difference is t. Rearranging gives:

D = t × (7 × 4) ÷ (7 − 4)

Numerator7 × 4 = 28
Denominator7 − 4 = 3
Divide28 ÷ 3 ≒ 9.3
SummaryD ≒ t × 9.3 (km)

The well-known "seconds × 8" rule is this 9.3, adjusted to match real underground structure (wave speed changes with depth). "Roughly seconds × 8–9 km" is close enough to remember.

③ Plugging in numbers
Small shaking lasted 3 seconds3 × 8 = 24 km
Small shaking lasted 10 seconds10 × 8 = 80 km
Small shaking lasted 30 seconds30 × 8 = 240 km

Here's the important part to read correctly. A long gap doesn't mean "far away, so safe." If you can feel shaking from that far away, it must be a large earthquake.

Conversely, if the big shaking hits before you even have time to count, the source is close. Either way, only start counting after you've protected yourself.

④ You can also work out how much lead time an early warning buys

Early warning works by detecting the P wave first and issuing an alert before the S wave arrives. The time it buys comes from the same calculation as in ②.

Distance to sourceassume 100 km
Time for P wave to arrive100 ÷ 7 ≒ 14 sec
Time for S wave to arrive100 ÷ 4 = 25 sec
Difference25 − 14 = 11 sec

11 seconds. And since it takes a few more seconds to process the observation and issue the alert, the time you actually have to act is even shorter.

And the closer the source, the smaller this gap becomes. At 20 km: 20 ÷ 7 ≒ 3 sec versus 20 ÷ 4 = 5 sec, a gap of just 5 − 3 = 2 seconds. For a quake directly below you, the warning simply cannot beat the shaking. That's not a technology problem — it's a limit set by the physics of wave speed.

So waiting to think until after the alert arrives is too late. Securing furniture in advance, keeping nothing that could fall near where you sleep — measures you take beforehand are the ones that reliably work.

⑤ Practice: how different is a magnitude 2 points apart?

Magnitude is a scale where each +1 means about 32 times more energy. It grows by multiplication, not addition.

Difference between M7 and M832×
Difference between M7 and M932 × 32 = 1024×

"M7 and M9 differ by just 2" is misleading — it's about 1000 times more. Because the numbers look small, it's easy to underestimate the gap. Knowing what the scale actually means changes how you read the same announcement.

HSWhere does "seconds × 8" come from?

Let the distance to the source be d, and the P- and S-wave speeds be Vp and Vs. The arrival-time difference is:

t = d/Vs − d/Vp

Solving for d gives d = t × Vp·Vs/(Vp − Vs). Plugging in numbers:

Using typical speeds
P-wave speedabout 8 km/s
S-wave speedabout 4 km/s
Coefficient Vp·Vs/(Vp−Vs)8 × 4 ÷ (8 − 4) = 8
If the P-S time is 10 secondsd ≒ 8 × 10 = 80 km

※ Actual speeds vary with underground structure, so the coefficient is generally taken to fall between 6 and 8. Treat it as a rough guide.

This relationship is known as the Omori formula, named after Fusakichi Omori and colleagues, who worked it out in Japan during the Meiji era. It's still taught as a basic tool in earth science today, since it lets you find the distance to a quake's source with nothing but a stopwatch.

HS+What determines wave speed

The speed of a wave travelling through an elastic body roughly follows the form v = √(elastic modulus / density). Stiffer means faster; heavier means slower.

The two wave types draw on different kinds of "stiffness."

The term inside the P-wave formula is always larger, so Vp > Vs is guaranteed mathematically. There's no way for the order to reverse. In typical rock, the ratio is roughly 1.7.

And in a liquid, μ = 0, so Vs = 0. The S wave cannot travel. Everything said in the main text traces back to this one line.

Univ.Seeing inside the Earth through its shaking

Seismic waves refract and reflect at boundaries where the underground material changes — the same way light bends passing through glass. Using this property, researchers can work backward from arrival times recorded at stations worldwide to reconstruct the velocity structure inside the Earth.

One of the earliest major discoveries was the S-wave shadow zone. In the 1910s, researchers found a band roughly 103 to 143 degrees from the epicentre where S waves never arrived at all, confirming the existence of a liquid outer core. This was followed by the discovery of the (solid) inner core in 1936, by Inge Lehmann.

Today, seismic tomography combines data from many earthquakes and stations to reconstruct three-dimensional velocity structure. It's used to trace the path of subducting plates and estimate mantle flow — the same principle as a medical CT scan.

ResearchWhat we still don't know

How this maps onto the curriculum (by level)

LevelSubject / unitWhere in this article
MSScience — how earthquake shaking travels / initial micro-tremor durationP waves and S waves, intensity vs. magnitude, seconds × 8
HSBasic Physics — waves (longitudinal and transverse) / Basic Earth Science — Earth's interiorDifferences between the two wave types, deriving the Omori formula
HS+Physics — elasticity and wave speed (often treated as advanced)v = √(elastic modulus/density), why S waves can't cross a liquid
Univ.Seismology, elasticity theory, geophysicsThe S-wave shadow zone, discovery of the outer and inner core, tomography
ResearchSeismology (unresolved)Limits of prediction, how rupture grows, slow slip
Disaster-preparedness educationProtect your head, don't go outside, act after the shaking stops
References and sources
  1. Japan Meteorological Agency (気象庁) explanatory materials on earthquakes and the mechanism and limits of earthquake early warning.
  2. Shearer, P. M., Introduction to Seismology (a standard seismology textbook).
  3. Lehmann, I., P', Publications du Bureau Central Séismologique International, 1936 (discovery of the inner core).
  4. Obara, K., Nonvolcanic deep tremor associated with subduction in southwest Japan, Science 296, 1679–1681, 2002 (discovery of deep low-frequency tremor).
  5. Materials from Japan's Cabinet Office (内閣府) and local governments on how to act and prepare for earthquakes.

※ Seismic wave speeds and coefficients vary with underground structure. This article presents commonly used rough guides.

※ This article is a general-audience science explainer. Follow the instructions of the Japan Meteorological Agency, fire services, local authorities, and your regional disaster plan for what to do during an earthquake. In areas at risk of tsunami, head for high ground immediately without waiting for a warning. The figures given here are rough guides meant to aid understanding of the underlying mechanism.