Angular velocity (ω) is the rate of change of angular displacement with respect to time. It measures how fast an object rotates or revolves around an axis. The SI unit is radians per second (rad/s). Angular velocity is a vector quantity with both magnitude and direction, following the right-hand rule. It is used extensively in physics, engineering, robotics, and aerospace applications.
Angular Velocity Converter
Convert between radians per second, RPM, degrees per second, revolutions per second, and 15+ angular velocity units with scientific precision.
Conversion Formula
1 rad/s = 9.5493 RPM
Common Angular Velocity Conversions
Quick reference table| From | To | Result |
|---|
About Angular Velocity
Angular velocity (ω) is a fundamental concept in physics and engineering that describes the rate of rotation of an object around an axis. It is the rotational analog of linear velocity and is measured in radians per second (rad/s) in the SI system.
-
SI Unit: rad/s Radians per second is the standard SI unit for angular velocity, used in physics and engineering calculations.
-
Symbol: ω (omega) Angular velocity is represented by the Greek letter omega (ω) in mathematical equations.
-
Formula: ω = Δθ/Δt Angular velocity equals the change in angular displacement divided by the change in time.
-
Vector Quantity Angular velocity has both magnitude and direction, following the right-hand rule.
-
Applications Used in mechanics, robotics, automotive engineering, aerospace, and electrical engineering.
-
Related to RPM RPM (revolutions per minute) is commonly used in automotive and mechanical engineering.
How to Use This Converter
Our angular velocity converter is engineered for speed, precision, and ease of use. Follow these steps to get accurate conversions instantly.
-
Select Source Unit Choose the angular velocity unit you want to convert from (rad/s, RPM, deg/s, etc.).
-
Choose Target Unit Select the unit you want to convert to in the second dropdown.
-
Enter Value Type your angular velocity value — the result appears instantly as you type.
-
View Formula The exact conversion formula is displayed below for verification and learning.
-
Swap Units Click the swap button to instantly reverse the conversion direction.
-
Use Reference Table Check the common conversions table for quick lookups of standard values.
Why Professionals Choose ASLI FORM
Built with precision engineering and premium design, our converter meets the demands of scientists, engineers, and professionals.
-
Scientific Precision Results accurate to 10 significant digits using NIST-standard conversion factors.
-
Instant Results Real-time conversion as you type — no buttons to click, no waiting.
-
Works Offline All calculations run locally in your browser. Perfect for field work.
-
Universal Compatibility From basic keypad phones to 4K displays — works on every device.
-
Zero Tracking No cookies, no analytics, no data collection. Your privacy is absolute.
-
Free Forever No subscriptions, no hidden fees, no usage limits, no advertisements.
Frequently Asked Questions
The basic formula is ω = Δθ/Δt, where ω is angular velocity, Δθ is the change in angular displacement (in radians), and Δt is the change in time (in seconds). For circular motion, ω = v/r where v is linear velocity and r is radius. For rotational frequency, ω = 2πf where f is frequency in Hz.
To convert RPM (revolutions per minute) to rad/s: ω(rad/s) = RPM × 2π/60 = RPM × 0.10472. For example, 3000 RPM = 3000 × 0.10472 = 314.16 rad/s. Conversely, to convert rad/s to RPM: RPM = ω(rad/s) × 60/2π = ω × 9.5493.
Angular velocity (ω) and angular frequency are mathematically equivalent but used in different contexts. Angular velocity is used in rotational mechanics (measured in rad/s), while angular frequency is used in oscillatory systems like AC circuits and waves. Both use the same unit rad/s and the symbol ω. The relationship is ω = 2πf where f is frequency in Hz.
Yes, the ASLI FORM Angular Velocity Converter is 100% free forever. There are no registration requirements, no usage limits, no subscription fees, and no hidden charges. We do not display advertisements and we do not collect any personal data. Our mission is to provide a premium tool that everyone can use without barriers.
Yes. Once the page loads, all calculations happen locally in your browser. There is no server-side processing, no API calls, and no internet dependency for conversions. This makes the tool perfect for field work, remote locations, laboratories, and anywhere connectivity is limited or unavailable.
Our converter delivers results accurate to 10 significant digits using conversion factors from official metrology institutes including NIST, BIPM, and the International Bureau of Weights and Measures. This level of precision is suitable for engineering calculations, scientific research, academic work, and professional applications.
Absolutely. Our converter is designed with a mobile-first responsive approach and works perfectly on every device — from basic keypad phones to 4K desktop displays. The interface adapts intelligently: desktops get a sidebar, tablets get a collapsible sidebar, and mobile devices get optimized dropdowns. Touch interactions and momentum scrolling are optimized for mobile.
The most common units include:
- rad/s — Radians per second (SI unit)
- RPM — Revolutions per minute (automotive, mechanical)
- deg/s — Degrees per second (navigation, robotics)
- rev/s — Revolutions per second (physics)
- rad/min — Radians per minute (industrial)
- °/min — Degrees per minute (surveying)
To convert deg/s to rad/s: ω(rad/s) = ω(deg/s) × π/180 = ω × 0.0174533. For example, 360 deg/s = 360 × 0.0174533 = 6.2832 rad/s (which is 2π rad/s, or one full revolution per second). Conversely, rad/s to deg/s: ω(deg/s) = ω(rad/s) × 180/π = ω × 57.2958.
No. We do not collect, store, or transmit any of the values you enter. All calculations happen entirely in your browser's memory and are destroyed the moment you close the tab. We use no analytics scripts, no cookies for tracking, and no third-party services that could see your conversions. Your privacy is absolute and non-negotiable.
We welcome feedback from our users. You can reach our support team through multiple channels:
- Phone: +91-7011993433 (Mon-Sat, 9 AM to 7 PM IST)
- WhatsApp: Same number with pre-filled message
- Email: support@asliform.in
The relationship is v = ω × r, where v is linear velocity (m/s), ω is angular velocity (rad/s), and r is the radius (m). This means that for a given angular velocity, points farther from the axis of rotation move faster linearly. This principle is fundamental in understanding rotational motion, gear systems, and circular motion.
For educational institutions, blogs, and non-commercial websites, you can link to our converter freely. For commercial embedding or white-label use, please contact our business team at support@asliform.in to discuss licensing options. We offer custom solutions for businesses that need angular velocity conversion integrated into their applications.
Angular velocity is used in numerous applications:
- Automotive: Engine RPM, wheel speed sensors
- Aerospace: Gyroscopes, attitude control
- Robotics: Joint actuators, motor control
- Manufacturing: CNC machines, lathes, mills
- Physics: Rotational dynamics, angular momentum
- Electrical: AC generators, motor speed control
Need More Professional Tools?
Explore our complete suite of 150+ free tools including calculators, converters, PDF tools, code editors, and AI-powered utilities.