Angular Velocity Degrees per Second Calculator
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Reviewed by Calculator Editorial Team
Angular velocity measures how fast an object rotates, expressed in degrees per second. This calculator converts between degrees per second and other angular velocity units, providing precise results for physics, engineering, and motion analysis.
What is Angular Velocity?
Angular velocity (ω) describes how quickly an object rotates around an axis. It's measured in degrees per second (deg/s), radians per second (rad/s), revolutions per minute (RPM), or other units. Angular velocity is crucial in physics, engineering, and motion analysis.
Key points about angular velocity:
- Measured in degrees per second (deg/s) or radians per second (rad/s)
- Related to linear velocity and radius of rotation
- Used in calculating rotational motion and torque
- Common units include RPM, rad/s, and deg/s
Degrees Per Second
Degrees per second (deg/s) is a common unit for angular velocity. It measures how many degrees an object rotates in one second. For example, a fan rotating at 360 deg/s completes one full rotation every second.
Angular velocity in degrees per second:
ω = θ / t
Where:
- ω = angular velocity (deg/s)
- θ = angle rotated (degrees)
- t = time (seconds)
Conversion Formulas
Angular velocity can be converted between different units using these formulas:
| From | To | Formula |
|---|---|---|
| Degrees per second (deg/s) | Radians per second (rad/s) | rad/s = deg/s × (π/180) |
| Degrees per second (deg/s) | Revolutions per minute (RPM) | RPM = deg/s × (60/360) |
| Radians per second (rad/s) | Degrees per second (deg/s) | deg/s = rad/s × (180/π) |
| Revolutions per minute (RPM) | Degrees per second (deg/s) | deg/s = RPM × (360/60) |
Conversion factors:
- 1 full rotation = 360 degrees = 2π radians
- 1 minute = 60 seconds
- π ≈ 3.14159265359
How to Use This Calculator
- Enter the angular velocity value in the input field
- Select the input unit (deg/s, rad/s, or RPM)
- Select the desired output unit
- Click "Calculate" to get the converted value
- View the result and chart visualization
Example calculation:
Convert 180 deg/s to rad/s:
180 deg/s × (π/180) ≈ 3.1416 rad/s
FAQ
What is the difference between angular velocity and linear velocity?
Angular velocity measures rotational speed (deg/s, rad/s), while linear velocity measures speed along a straight path (m/s, km/h). They are related by the formula: v = ω × r, where v is linear velocity, ω is angular velocity, and r is radius.
How do I convert RPM to degrees per second?
Use the formula: deg/s = RPM × (360/60). For example, 3000 RPM converts to 18000 deg/s.
What are common applications of angular velocity?
Angular velocity is used in:
- Mechanical engineering (rotating machinery)
- Physics (rotational motion analysis)
- Automotive engineering (engine performance)
- Robotics (motor control)
- Sports science (player movement analysis)