Magnitude 4.90 — 338 t of TNT
The energy is 10^12.15 joules, or 338 tonnes of TNT — the same as 31.6 quakes one point lower.
- Magnitude
- 4.90
- Energy
- 10^12.15 J
- In TNT
- 338 t
- Hiroshima bombs
- 0.023
- One 0.05 step
- ×1.189
- Quakes one point lower
- 31.6
One step is a multiplication
The base-ten log of the energy is 1.5 × magnitude + 4.8. With a slope of 1.5, one point of magnitude means ten to the power 1.5, or 31.6 times the energy. Two points make ten cubed — a thousand times exactly. In other words, thirty-odd magnitude-6 quakes fit inside a single 7.
Shaking ×10, energy ×31.6
One point of magnitude multiplies the amplitude a seismograph traces by ten, but the released energy by 31.6. The two differ because energy depends not only on how far the ground moves but on how long it shakes and how much fault surface tore. When the news says “ten times” it means the shaking; “thirty-two times” means the energy.
Nearby magnitudes
Same first decimal
Find it by magnitude
Magnitude is not intensity
Magnitude describes the energy the earthquake itself released, so there is one number per quake. Intensity describes how hard a particular place shook, so it differs from street to street. A shallow magnitude-5 directly underfoot can shake harder than a deep magnitude-7 far away — depth, distance and ground conditions decide intensity.
How to read this
- log10(energy) = 1.5 × magnitude + 4.8, with energy in joules.
- One point of magnitude is 31.6 times the energy; two points exactly a thousand.
- The amplitude grows tenfold, the energy 31.6-fold.
- Magnitude belongs to the quake; intensity differs from place to place.
Frequently asked questions
Q. How much energy is magnitude 4.90?
10^12.15 joules, or 338 tonnes of TNT.
Q. How many Hiroshima bombs?
0.023. This compares released energy, not damage.
Q. How far is one step up?
1.189 times. A 0.05 step is the same multiple at any magnitude.
Q. How many quakes one point lower?
31.6 of them.