Radians per Second to Terahertz Converter
Convert rad/s to terahertz with our free online frequency converter.
Quick Answer
1 Radians per Second = 1.591549e-13 terahertz
Formula: Radians per Second × conversion factor = Terahertz
Use the calculator below for instant, accurate conversions.
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All conversion formulas on UnitsConverter.io have been verified against NIST (National Institute of Standards and Technology) guidelines and international SI standards. Our calculations are accurate to 10 decimal places for standard conversions and use arbitrary precision arithmetic for astronomical units.
Radians per Second to Terahertz Calculator
How to Use the Radians per Second to Terahertz Calculator:
- Enter the value you want to convert in the 'From' field (Radians per Second).
- The converted value in Terahertz will appear automatically in the 'To' field.
- Use the dropdown menus to select different units within the Frequency category.
- Click the swap button (⇌) to reverse the conversion direction.
How to Convert Radians per Second to Terahertz: Step-by-Step Guide
Converting Radians per Second to Terahertz involves multiplying the value by a specific conversion factor, as shown in the formula below.
Formula:
THz = rad/s × 1.59155e-13Example Calculation:
1 rad/s = 1.591549e-13 THz
Disclaimer: For Reference Only
These conversion results are provided for informational purposes only. While we strive for accuracy, we make no guarantees regarding the precision of these results, especially for conversions involving extremely large or small numbers which may be subject to the inherent limitations of standard computer floating-point arithmetic.
Not for professional use. Results should be verified before use in any critical application. View our Terms of Service for more information.
Need to convert to other frequency units?
View all Frequency conversions →What is a Radians per Second and a Terahertz?
1 rad/s = 1 radian per second = 1/(2π) Hz ≈ 0.159155 Hz
Relationship to Hz:
- ω (rad/s) = 2πf (Hz)
- f (Hz) = ω/(2π) (rad/s)
Key relationship: 2π rad/s = 1 Hz (one complete cycle)
1 THz = 1,000,000,000,000 Hz = 1,000 GHz = 1,000,000 MHz
Wavelength: 1 THz ≈ 300 micrometers (0.3 mm)
Note: The Radians per Second is part of the imperial/US customary system, primarily used in the US, UK, and Canada for everyday measurements. The Terahertz belongs to the imperial/US customary system.
Common Uses and Applications: rad/s vs terahertz
Explore the typical applications for both Radians per Second (imperial/US) and Terahertz (imperial/US) to understand their common contexts.
Common Uses for rad/s
Physics: Simple harmonic motion, pendulums, springs, wave equations. Electrical Engineering: AC circuit analysis, phasors, impedance. Mechanical Engineering: Rotational dynamics, angular velocity, vibration analysis. Control Systems: Transfer functions, frequency response, stability analysis.
When to Use terahertz
Security Imaging: Airport body scanners, contraband detection (THz waves penetrate clothing but not metal/water). Medical Imaging: Non-ionizing tissue imaging, cancer detection, dental imaging. Spectroscopy: Material identification, chemical analysis, pharmaceutical quality control. 6G Research: Future wireless communications (sub-THz bands 100-300 GHz). Astronomy: Studying cold molecular clouds, star formation regions.
Additional Unit Information
About Radians per Second (rad/s)
How do I convert rad/s to Hz?
Formula: Hz = rad/s ÷ (2π)
Examples:
- 2π rad/s = 1 Hz
- 6.28 rad/s ≈ 1 Hz
- 377 rad/s = 60 Hz (US power frequency)
- 314 rad/s = 50 Hz (European power frequency)
Reverse: rad/s = Hz × 2π
What is 2π rad/s?
2π rad/s = 1 Hz = 1 cycle per second
This is the key relationship:
- One complete cycle = 2π radians = 360 degrees
- So 2π rad/s = one full rotation per second
- = 1 Hz
- = 60 RPM
Example:
- Object rotating at 2π rad/s completes exactly 1 full rotation every second
How do I convert rad/s to RPM?
Formula: RPM = rad/s × (60/2π) ≈ rad/s × 9.549
Examples:
- 1 rad/s = 9.55 RPM
- 10 rad/s = 95.5 RPM
- 100 rad/s = 955 RPM
Reverse: rad/s = RPM × (2π/60) ≈ RPM × 0.1047
Derivation:
- 1 revolution = 2π radians
- 1 minute = 60 seconds
- So: rad/s → rev/s → rev/min
- rad/s × (1 rev / 2π rad) × (60 s / 1 min) = rad/s × 60/(2π) RPM
What is 377 rad/s?
377 rad/s = 60 Hz (US electrical power frequency)
Calculation: ω = 2πf = 2π × 60 ≈ 376.99 rad/s
This is the angular frequency of:
- AC power in North America
- 60 Hz electrical systems
- Standard wall outlet frequency (in angular terms)
Used in electrical engineering for AC circuit calculations, phasor analysis, and impedance.
When should I use rad/s instead of Hz?
Use rad/s when:
- Doing physics/engineering calculations
- Working with differential equations
- Analyzing AC circuits
- Using transfer functions
- Calculating angular displacement
- Working with phasors
Use Hz when:
- Describing oscillation rate to general audience
- Specifying radio frequencies
- Measuring audio frequencies
- General frequency specifications
- Non-technical contexts
Why rad/s in calculations?
- Simplifies formulas: x = A sin(ωt) instead of x = A sin(2πft)
- Direct angular displacement: θ = ωt
- Natural for calculus: dx/dt, d²x/dt²
What's the difference between rad/s and degrees/s?
Conversion: 1 rad/s = 180/π deg/s ≈ 57.296 deg/s
Radians (rad/s):
- Mathematical standard
- Used in calculus and physics
- 2π rad = one full rotation
- Natural for trigonometric functions
Degrees (deg/s):
- Intuitive for visualization
- 360° = one full rotation
- Common in navigation, astronomy
- Easier for non-technical communication
Example:
- 1 rad/s = 57.3 degrees per second
- π rad/s = 180 degrees per second
- 2π rad/s = 360 degrees per second = 1 revolution per second
For engineering and physics calculations, use rad/s.
About Terahertz (THz)
How do I convert THz to GHz?
Formula: GHz = THz × 1,000
Examples:
- 1 THz = 1,000 GHz
- 0.3 THz = 300 GHz (6G research)
- 10 THz = 10,000 GHz
What is terahertz radiation?
Terahertz radiation is electromagnetic waves between microwaves and infrared:
Frequency range: 0.1-10 THz (typically) Wavelength: 3 mm - 30 micrometers
Properties:
- Non-ionizing (safe, unlike X-rays)
- Penetrates paper, clothing, plastics, ceramics
- Blocked by water and metals
- Can image internal structures
Applications: Security screening, medical imaging, quality control.
Is terahertz radiation dangerous?
Generally safe - terahertz radiation is non-ionizing:
Safety:
- Lower energy than visible light
- Cannot damage DNA like X-rays
- Does not cause cancer
- May cause slight heating at very high power
Current exposure limits: Power density limits for occupational exposure around 10 W/m² (varies by country).
Much safer than X-rays for imaging applications.
What is the terahertz gap?
The terahertz gap refers to the frequency range (0.1-10 THz) that was historically difficult to generate and detect:
- Too fast for electronic devices (transistors)
- Too slow for optical devices (lasers)
Modern solutions:
- Quantum cascade lasers
- Photoconductive antennas
- Frequency multipliers
- Synchrotron sources
This gap has largely been closed with 21st-century technology.
How do I convert THz to Hz?
Formula: Hz = THz × 1,000,000,000,000
Examples:
- 1 THz = 1,000,000,000,000 Hz (1 trillion Hz)
- 0.5 THz = 500,000,000,000 Hz
- 10 THz = 10,000,000,000,000 Hz
Conversion Table: Radians per Second to Terahertz
| Radians per Second (rad/s) | Terahertz (THz) |
|---|---|
| 0.5 | 0 |
| 1 | 0 |
| 1.5 | 0 |
| 2 | 0 |
| 5 | 0 |
| 10 | 0 |
| 25 | 0 |
| 50 | 0 |
| 100 | 0 |
| 250 | 0 |
| 500 | 0 |
| 1,000 | 0 |
People Also Ask
How do I convert Radians per Second to Terahertz?
To convert Radians per Second to Terahertz, enter the value in Radians per Second in the calculator above. The conversion will happen automatically. Use our free online converter for instant and accurate results. You can also visit our frequency converter page to convert between other units in this category.
Learn more →What is the conversion factor from Radians per Second to Terahertz?
The conversion factor depends on the specific relationship between Radians per Second and Terahertz. You can find the exact conversion formula and factor on this page. Our calculator handles all calculations automatically. See the conversion table above for common values.
Can I convert Terahertz back to Radians per Second?
Yes! You can easily convert Terahertz back to Radians per Second by using the swap button (⇌) in the calculator above, or by visiting our Terahertz to Radians per Second converter page. You can also explore other frequency conversions on our category page.
Learn more →What are common uses for Radians per Second and Terahertz?
Radians per Second and Terahertz are both standard units used in frequency measurements. They are commonly used in various applications including engineering, construction, cooking, and scientific research. Browse our frequency converter for more conversion options.
For more frequency conversion questions, visit our FAQ page or explore our conversion guides.
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All Frequency Conversions
Other Frequency Units and Conversions
Explore other frequency units and their conversion options:
- Hertz (Hz) • Radians per Second to Hertz
- Millihertz (mHz) • Radians per Second to Millihertz
- Kilohertz (kHz) • Radians per Second to Kilohertz
- Megahertz (MHz) • Radians per Second to Megahertz
- Gigahertz (GHz) • Radians per Second to Gigahertz
- Revolutions per Minute (rpm) • Radians per Second to Revolutions per Minute
- Revolutions per Second (rps) • Radians per Second to Revolutions per Second
- Beats per Minute (bpm) • Radians per Second to Beats per Minute
- Cycles per Second (cps) • Radians per Second to Cycles per Second
Verified Against Authority Standards
All conversion formulas have been verified against international standards and authoritative sources to ensure maximum accuracy and reliability.
National Institute of Standards and Technology — Fundamental physical constants and unit conversions
Bureau International des Poids et Mesures — International System of Units (SI) definitions and standards
International Organization for Standardization — Quantities and units international standards series
Last verified: February 19, 2026