TNT Equivalent Calculator

Express any amount of energy in tons of TNT, or turn tons of TNT back into joules, kilowatt-hours and kilocalories.

💥 TNT Equivalent Calculator
Energy
TNT equivalent mass
Diameter (d)
m
Density (ρ)
kg/m³
Speed (v)
km/s
TNT equivalent
—
In tons of TNT
—
In kilotons
—
In megatons
—
Compared with 15 kt
—
Energy
—
Energy
—
Energy
—

Energy
—
In gigajoules
—
In terajoules
—
In kilowatt-hours
—
In kilocalories
—
Compared with 15 kt
—
TNT mass used
—

Energy in kilotons
—
Energy in megatons
—
Kinetic energy
—
Mass
—
Compared with 15 kt
—
Energy in kWh
—

💥 What is TNT Equivalent?

TNT equivalent is a convention for expressing a quantity of energy as the mass of trinitrotoluene (TNT) that would release the same energy. By definition, one ton of TNT equals 4.184 gigajoules, so one kilogram equals 4.184 megajoules. The value is the same as one gigacalorie per ton and one thousand kilocalories per kilogram, which is why the conversion factor looks so tidy in calories. The kiloton (4.184 terajoules) and megaton (4.184 petajoules) are simply multiples of that ton. Because the figure is fixed, TNT equivalent is purely a unit of energy, in the same family as the joule, the kilowatt-hour and the kilocalorie.

The unit is used when a very large energy needs a familiar yardstick. Earth scientists express the energy of earthquakes, volcanic eruptions and meteor impacts in tons, kilotons or megatons, astronomers use it for asteroid and comet kinetic energy, and energy writers use it to compare fuels, batteries and accidents. Historical events are also described this way: the Hiroshima bomb of 1945 is commonly quoted at about 15 kilotons, and this calculator uses that value only as a size comparison for an amount of energy. Where chemistry matters, the real energy of TNT is close to, but not exactly, 4.184 MJ per kg, which is why the figure is a convention.

Several misunderstandings are worth clearing up. TNT equivalent says how much energy is involved, not what that energy does. The same energy released slowly, spread across a large area, or deep underground has very different effects from the same energy released at once on a surface, so the number is not a measure of damage. Energy is also not power: a megaton is a quantity, and the time over which it is released is a separate question. Finally, the term does not mean any real TNT is present. A battery, a fuel tank or a moving rock can all be expressed in tons of TNT equivalent without any explosive involved.

This calculator has three modes. Energy to TNT converts joules, kilojoules, megajoules, gigajoules, terajoules, petajoules, kilowatt-hours or kilocalories into kilograms, tons, kilotons and megatons. TNT to energy goes the other way. Falling rock expresses the kinetic energy of a sphere of a given diameter, density and speed in TNT units, with a chart against diameter. Each mode shows how your value compares with common benchmark amounts.

📐 Formula

mTNT  =  E ÷ ( 4.184 × 106 J/kg )
E = energy in joules. Conversions: 1 kJ = 1000 J, 1 kWh = 3.6 MJ, 1 kcal = 4184 J
mTNT = TNT equivalent mass in kg; divide by 1000 for tons, by 106 for kilotons and by 109 for megatons
4.184 MJ/kg = the conventional energy of TNT, equal to 4.184 GJ per ton (the thermochemical kilocalorie definition)
Reverse: E = mTNT × 4.184 MJ/kg
Example: 1 GJ ÷ 4.184 MJ/kg = 239.0 kg of TNT equivalent, or 0.239 tons
Ek  =  ½ m v²,   m  =  ρ π d³ ÷ 6
m = mass of a sphere of diameter d and density ρ, in kg
v = speed in m/s (the calculator takes km/s and multiplies by 1000)
Ek = kinetic energy in joules, then converted to TNT with the formula above
Example: d = 20 m, ρ = 3000 kg/m³, v = 19 km/s: m = 1.257 × 107 kg and Ek = 2.268 × 1015 J = 542.1 kt

📖 How to Use This Calculator

Steps

1
Choose a mode. Pick Energy to TNT, TNT to energy, or Falling rock to express a kinetic energy in TNT units.
2
Select the unit and enter the value. Choose the unit first (it only labels the number and never converts it), then enter the energy, the TNT mass, or the rock diameter, density and speed.
3
Read the conversions. Read the TNT equivalent in kg, tons, kilotons and megatons, or the energy in J, kWh and kcal, with the multiple of a 15 kt reference.
4
Check the benchmark table. Use the table to see your energy as a multiple of 1 kg, 1 ton, 1 kt, about 15 kt and 1 Mt of TNT.

💡 Example Calculations

Example 1 — One Gigajoule in TNT

1 GJ of energy

1
1 GJ = 1,000,000,000 J = 277.8 kWh = 239,005.7 kcal
2
Mass of TNT = 109 ÷ 4.184 × 106 = 239.0 kg
3
In larger units this is 0.2390 tons or 2.390e-4 kilotons, a tiny fraction of the 15 kt reference (1.593e-5 times)
1 GJ = 239.0 kg of TNT equivalent
Try this example →

Example 2 — The Energy of 15 Kilotons

62.76 TJ of energy

1
62.76 TJ = 6.276 × 1013 J
2
Mass of TNT = 6.276 × 1013 ÷ 4.184 × 106 = 1.500 × 107 kg = 15,000 tons
3
That is 15.000 kt or 0.0150 Mt, exactly 1.000 times the 15 kt reference. This is the unit comparison used for historical-scale yields.
62.76 TJ = 15 kt of TNT equivalent
Try this example →

Example 3 — One Kiloton Back to Energy

1 kiloton of TNT equivalent

1
1 kt = 106 kg, so E = 106 × 4.184 × 106 = 4.184 × 1012 J
2
In other units: 4184.0 GJ = 4.184 TJ
3
4.184 × 1012 ÷ 3.6 × 106 = 1.162 × 106 kWh and 1.000 × 109 kcal. It is 0.0667 of the 15 kt reference.
1 kt = 4.184 TJ (1.162 million kWh)
Try this example →

Example 4 — A 20 m Rock at 19 km/s (Unit Comparison)

Sphere, d = 20 m, ρ = 3000 kg/m³, v = 19 km/s

1
m = 3000 × π × 20³ ÷ 6 = 1.257 × 107 kg
2
Ek = ½ × 1.257 × 107 × (19,000)² = 2.268 × 1015 J
3
2.268 × 1015 ÷ 4.184 × 109 = 542.1 kt = 0.5421 Mt, about 36.141 times the 15 kt reference. The diameter, density and speed are assumed values chosen for illustration.
Kinetic energy = 542.1 kt of TNT equivalent
Try this example →

Example 5 — A 1 m Rock at 15 km/s

Sphere, d = 1 m, ρ = 3000 kg/m³, v = 15 km/s

1
m = 3000 × π × 1³ ÷ 6 = 1570.8 kg
2
Ek = ½ × 1570.8 × (15,000)² = 1.767 × 1011 J
3
1.767 × 1011 ÷ 4.184 × 109 = 42.2 tons, which is 0.0422 kt, or about 49,087 kWh. A twentieth of the diameter of Example 4 carries about 1/8000 of the energy.
Kinetic energy = 0.0422 kt (42.2 tons) of TNT equivalent
Try this example →

❓ Frequently Asked Questions

How many joules are in a ton of TNT?+
One ton of TNT is defined as 4.184 gigajoules, or 4.184 x 10^9 J. This is the conventional figure used in energy comparisons, equal to one gigacalorie, and it makes 1 kg of TNT equal to 4.184 MJ.
How many joules are in a kiloton of TNT?+
One kiloton is 4.184 x 10^12 J, which is 4.184 terajoules. It is 1000 tons of TNT. A megaton is 4.184 x 10^15 J, or 4.184 petajoules.
How do I convert joules to TNT equivalent?+
Divide the energy in joules by 4.184 x 10^6 to get kilograms of TNT, or by 4.184 x 10^9 to get tons. For example 1 GJ is 239.0 kg of TNT, or 0.239 tons.
How do I convert kWh to tons of TNT?+
Multiply kilowatt-hours by 3.6 million to get joules, then divide by 4.184 x 10^9. One kWh is about 0.86 kg of TNT equivalent, since 3.6 MJ divided by 4.184 MJ per kg is 0.860.
What is the TNT equivalent of a kilocalorie?+
One kilocalorie is 4184 J, which is exactly 1 gram of TNT on the conventional scale. A gigacalorie is 1 ton of TNT, which is why the ton of TNT is defined as 4.184 GJ.
How many 15 kiloton units is a megaton?+
A megaton is about 67 times a 15 kiloton yield, since 1000 kt divided by 15 kt is 66.7. The 15 kt figure is a commonly quoted approximate yield and is used here only as a size comparison for an amount of energy.
How do you find the TNT equivalent of an asteroid?+
Compute the kinetic energy, half x mass x speed squared, and divide by 4.184 x 10^9 J per ton. A 20 m rock at 3000 kg/m3 and 19 km/s carries 2.27 x 10^15 J, or about 542 kt of TNT equivalent.
Does TNT equivalent tell me how damaging an event is?+
No. It is a measure of total energy only. Effects depend on how and where the energy is released, the medium, the altitude and many other factors, so this calculator is a unit converter and not a damage estimator.
Why is the ton of TNT defined as 4.184 GJ?+
It is a convention: 4.184 MJ per kg is 1000 kilocalories per kg. It is close to the energy released when TNT detonates, but measured values vary a little, so the definition fixes a single exact number for comparisons.
Is a ton of TNT a metric ton?+
In the standard convention the ton is a metric ton of 1000 kg, so 1 ton is 4.184 GJ. The energy is a fixed definition, which is why this calculator uses 1000 kg per ton for the TNT mass.

How many joules are in a ton of TNT?

One ton of TNT is defined as 4.184 gigajoules, or 4.184 x 10^9 J. This is the conventional figure used in energy comparisons, equal to one gigacalorie, and it makes 1 kg of TNT equal to 4.184 MJ.

How many joules are in a kiloton of TNT?

One kiloton is 4.184 x 10^12 J, which is 4.184 terajoules. It is 1000 tons of TNT. A megaton is 4.184 x 10^15 J, or 4.184 petajoules.

How do I convert joules to TNT equivalent?

Divide the energy in joules by 4.184 x 10^6 to get kilograms of TNT, or by 4.184 x 10^9 to get tons. For example 1 GJ is 239.0 kg of TNT, or 0.239 tons.

How do I convert kWh to tons of TNT?

Multiply kilowatt-hours by 3.6 million to get joules, then divide by 4.184 x 10^9. One kWh is about 0.86 kg of TNT equivalent, since 3.6 MJ divided by 4.184 MJ per kg is 0.860.

What is the TNT equivalent of a kilocalorie?

One kilocalorie is 4184 J, which is exactly 1 gram of TNT on the conventional scale. A gigacalorie is 1 ton of TNT, which is why the ton of TNT is defined as 4.184 GJ.

How many 15 kiloton units is a megaton?

A megaton is about 67 times a 15 kiloton yield, since 1000 kt divided by 15 kt is 66.7. The 15 kt figure is a commonly quoted approximate yield and is used here only as a size comparison for an amount of energy.

How do you find the TNT equivalent of an asteroid?

Compute the kinetic energy, half x mass x speed squared, and divide by 4.184 x 10^9 J per ton. A 20 m rock at 3000 kg/m3 and 19 km/s carries 2.27 x 10^15 J, or about 542 kt of TNT equivalent.

Does TNT equivalent tell me how damaging an event is?

No. It is a measure of total energy only. Effects depend on how and where the energy is released, the medium, the altitude and many other factors, so this calculator is a unit converter and not a damage estimator.

Why is the ton of TNT defined as 4.184 GJ?

It is a convention: 4.184 MJ per kg is 1000 kilocalories per kg. It is close to the energy released when TNT detonates, but measured values vary a little, so the definition fixes a single exact number for comparisons.

Is a ton of TNT a metric ton?

In the standard convention the ton is a metric ton of 1000 kg, so 1 ton is 4.184 GJ. The energy is a fixed definition, which is why this calculator uses 1000 kg per ton for the TNT mass.