Terahertz is 1000000000000 hertz units.
Terahertz to Radians per second Converter — THz to rad/s
Convert Terahertz (THz) to Radians per second (rad/s) using the exact conversion factor (1 terahertz = 6.283185e+12 radians per second). See the formula, worked examples, and conversion table.
Terahertz to Radians per second converter
Converter
Frequency Converter
Convert hertz, SI frequency prefixes, RPM, beats per minute, and angular frequency.
Context values
Some unit families need one extra value for a physically accurate result.
Angular frequency converted by one revolution equals 2*pi radians.
Result = input x 1e+12 / 0.1591549431.
Frequency uses hertz as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Terahertz to Radians per second
Terahertz and Radians per second both describe how fast something cycles or rotates, and the conversion is a routine part of reading a car tachometer or motor spec sheet against a scientific frequency figure. Specifically: Terahertz is 1000000000000 hertz units, and angular frequency converted by one revolution equals 2*pi radians.
Formula
radians per second = terahertz × 6.283185e+12
This factor comes from each unit's defined relationship to the category's base unit: 1 terahertz equals 1e+12 base units, and 1 radians per second equals 0.159154943092 base units, so dividing one by the other gives the direct terahertz-to-radians per second factor of 6.283185e+12.
Simple example
1 THz × 6.283185e+12 = 6.283185e+12 rad/s
1 terahertz = 6.283185e+12 radians per second.
Real-world example
1,000 THz × 6.283185e+12 = 6.283185e+15 rad/s
1,000 terahertz = 6.283185e+15 radians per second.
Conversion table
| Terahertz (THz) | Radians per second (rad/s) |
|---|---|
| 60 THz | 3.769911e+14 rad/s |
| 600 THz | 3.769911e+15 rad/s |
| 1,000 THz | 6.283185e+15 rad/s |
| 3,000 THz | 1.884956e+16 rad/s |
| 6,000 THz | 3.769911e+16 rad/s |
| 10,000 THz | 6.283185e+16 rad/s |
Reverse conversion: Radians per second to Terahertz
6.283185e+12 rad/s × 1.591549e-13 = 0.9999999511 THz
6.283185e+12 radians per second = 0.9999999511 terahertz.
terahertz = radians per second × 1.591549e-13
For a page dedicated to this direction, see Radians per second to Terahertz.
Understanding the Terahertz (THz)
Terahertz is 1000000000000 hertz units.
Understanding the Radians per second (rad/s)
Angular frequency converted by one revolution equals 2*pi radians.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many radians per second are in 1 terahertz?
1 terahertz equals 6.283185e+12 radians per second, using the exact defined conversion factor rather than an estimate.
How do I convert terahertz to radians per second?
Multiply the terahertz value by 6.283185e+12. The converter above does this instantly to whatever precision you set.
How do I convert radians per second back to terahertz?
Use the reverse factor: 1 radians per second equals 1.591549e-13 terahertz. You can also use the swap control in the converter above to flip the direction instantly.
What is a terahertz?
Terahertz (THz) is a unit of frequency.
What is a radians per second?
Radians per second (rad/s) is a unit of frequency.
Is the terahertz to radians per second conversion exact?
Yes. Both terahertz and radians per second are defined by fixed standards rather than physical artifacts, so the factor of 6.283185e+12 used above is exact to as many digits as you choose to display.