Convert Terahertz to Radians per Second (THz to rad/s)
1 terahertz (THz) = 6283185307000 radians per second (rad/s). 1 rad/s = 1.591549431 × 10⁻¹³ THz. Example: 15 THz = 15 × 6283185307000 = 94247779610000 rad/s.
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1 THz = 6283185307000 rad/s
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk terahertz to radian per second converter to paste a column from Excel.
How to Convert Terahertz to Radian per Second
- 1 THz = 6283185307000 rad/s
- 1 rad/s = 1.591549431 × 10⁻¹³ THz
- Example: convert 15 THz to rad/s: 15 THz = 15 × 6283185307000 rad/s = 94247779610000 rad/s
Formula
rad/s = THz × 6283185307180
Derivation from SI units:
- 1 THz = 10¹² Hz.
- ω = 2πf, so 1 rad/s = 1/(2π) Hz ≈ 0.159155 Hz.
- 1 THz = 1000000000000 Hz ÷ 0.1591549430919 Hz per rad/s = 6283185307180 rad/s
Both units are defined exactly, so the factor is exact. Terahertz definition: terahertz; Radian per Second definition: radian per second.
Worked examples
- A reading of 1 THz converts to 6283185307000 rad/s.
1 THz × 6283185307000 = 6283185307000 rad/s - A value of 193.4 THz is 1.215168038 × 10¹⁵ rad/s.
193.4 THz × 6283185307000 = 1.215168038 × 10¹⁵ rad/s
Terahertz to Radian per Second conversion table
| Terahertz (THz) | Radians per Second (rad/s) |
|---|---|
| 0.1 THz | 628318530700 rad/s |
| 0.3 THz | 1884955592000 rad/s |
| 1 THz | 6283185307000 rad/s |
| 3 THz | 18849555920000 rad/s |
| 10 THz | 62831853070000 rad/s |
| 193.4 THz | 1.215168038 × 10¹⁵ rad/s |
| 400 THz | 2.513274123 × 10¹⁵ rad/s |
| 750 THz | 4.71238898 × 10¹⁵ rad/s |
Where it's used
Terahertz are used for optical communications, while radians per second appear in angular velocity in physics and dynamics. Both measure frequency and rotational speed, so the conversion is a fixed factor.
Terahertz to other frequency units
| Conversion | 1 THz equals |
|---|---|
| terahertz to radian per second | 6283185307000 rad/s |
| terahertz to hertz | 1000000000000 Hz |
| terahertz to megahertz | 1000000 MHz |
| terahertz to gigahertz | 1000 GHz |
| terahertz to revolution per minute | 60000000000000 rpm |
| terahertz to kilohertz | 1000000000 kHz |
| terahertz to revolution per second | 1000000000000 rps |
| terahertz to degree per second | 360000000000000 °/s |
Show 1 more units
| terahertz to beat per minute | 60000000000000 bpm |
|---|
Frequently asked questions
How many radians per second are in 1 terahertz?
1 THz = 6283185307000 rad/s.
How do I convert terahertz to radians per second?
Multiply the value in THz by 6283185307000. For example, 15 THz × 6283185307000 = 94247779610000 rad/s.
Is the THz to rad/s conversion exact?
Yes. Both units are defined exactly, so the ratio is exact; its decimal form does not terminate and is shown here to 10 significant figures (more with the precision selector).
Sources
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures , Table 7 (SI prefixes); hertz, Table 4.
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
Cite this page
APA
Scientific Converters. (2026, October 15). Convert Terahertz to Radians per Second (THz to rad/s). Retrieved October 25, 2026, from https://scientificconverters.com/frequency/terahertz-to-radians-per-second/
IEEE
Scientific Converters, "Convert Terahertz to Radians per Second (THz to rad/s)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/frequency/terahertz-to-radians-per-second/