Angular Velocity Calculator
Value:
Popular Angular Velocity Converters:
What is a Angular Velocity Calculator Converter?
An angular velocity converter is a tool that converts between units of rotational speed such as radians per second, revolutions per minute (RPM), and degrees per second. It is essential for mechanical engineering, robotics, and motor speed calculations.
How to Convert Angular Velocity Calculator Units
Choose your source angular velocity unit and target unit from the dropdown menus. Type your value in the input field and the converter instantly displays the equivalent in your chosen unit. You can also use the popular conversion links below for common conversions.
Angular Velocity Calculator Conversion Formulas
History of Angular Velocity Calculator Measurement
Angular velocity concepts trace back to ancient astronomers tracking celestial rotation. The radian became the SI angular unit in the 20th century, making rad/s the standard. RPM became dominant in manufacturing and automotive industries for describing motor and engine speeds.
About This Angular Velocity Calculator Converter
This angular velocity converter supports 10 units including radian/second, revolution/minute (RPM), degree/second, revolution/second, and radian/hour. It covers both SI and practical engineering units for rotational motion.
Frequently Asked Questions
How do I convert RPM to rad/s?
Multiply the RPM value by 0.10472 (which is 2π/60) to get radians per second. For example, 3000 RPM × 0.10472 = 314.16 rad/s.
What is the difference between RPM and RPS?
RPM is revolutions per minute and RPS is revolutions per second. To convert RPM to RPS, divide by 60. For example, 120 RPM = 2 RPS.
How do I convert degrees per second to RPM?
Divide the degrees per second value by 6 to get RPM. For example, 360°/s ÷ 6 = 60 RPM (one full rotation per second).
What unit is angular velocity measured in?
The SI unit of angular velocity is radians per second (rad/s). In industry, revolutions per minute (RPM) is more commonly used for motors, engines, and rotating machinery.
What is the relationship between angular and linear velocity?
Linear velocity equals angular velocity multiplied by the radius (v = ωr). For example, a wheel spinning at 10 rad/s with a 0.5m radius has a linear velocity of 5 m/s at its edge.
Metric Conversion Factor Tables for Angular Velocity Converter
| Units to convert | Multiply By The Number | Convert as Unit |
|---|---|---|
| Radian/second (rad/s) | 9.5493 | Revolution/minute (rpm) |
| Radian/second (rad/s) | 57.2958 | Degree/second (°/s) |
| Radian/second (rad/s) | 0.15915 | Revolution/second (rps) |
| Radian/second (rad/s) | 60 | Radian/minute (rad/min) |
| Revolution/minute (rpm) | 0.10472 | Radian/second (rad/s) |
| Revolution/minute (rpm) | 6 | Degree/second (°/s) |
| Revolution/minute (rpm) | 0.016667 | Revolution/second (rps) |
| Degree/second (°/s) | 0.0174533 | Radian/second (rad/s) |
| Degree/second (°/s) | 0.166667 | Revolution/minute (rpm) |
| Revolution/second (rps) | 6.28318 | Radian/second (rad/s) |
| Revolution/second (rps) | 60 | Revolution/minute (rpm) |
| Revolution/second (rps) | 360 | Degree/second (°/s) |
| Radian/minute (rad/min) | 0.016667 | Radian/second (rad/s) |
| Radian/hour (rad/h) | 0.000277778 | Radian/second (rad/s) |
| Revolution/hour (rph) | 0.001745 | Radian/second (rad/s) |
Angular Velocityconverters & it's abbreviations
| Unit | Abbreviation | Unit | Abbreviation | Unit | Abbreviation |
|---|---|---|---|---|---|
| radian/second | rad/s | radian/minute | rad/min | radian/hour | rad/h |
| radian/day | rad/d | degree/second | °/s | degree/minute | °/min |
| degree/hour | °/h | revolution/second | rps | revolution/minute | rpm |
| revolution/hour | rph |
Complete list of Angular Velocity conversion units and its conversion.
- 1 radian/second [rad/s] = 9.5493 revolution/minute [rpm]
rad/s to rpm → - 1 radian/second [rad/s] = 57.2958 degree/second [°/s]
rad/s to deg/s → - 1 radian/second [rad/s] = 0.15915 revolution/second [rps]
rad/s to rps →
- 1 revolution/minute [rpm] = 6 degree/second [°/s]
rpm to deg/s → - 1 revolution/minute [rpm] = 0.016667 revolution/second [rps]
rpm to rps → - 1 revolution/minute [rpm] = 60 revolution/hour [rph]
rpm to rph →
- 1 revolution/second [rps] = 60 revolution/minute [rpm]
rps to rpm → - 1 revolution/second [rps] = 360 degree/second [°/s]
rps to deg/s → - 1 radian/minute [rad/min] = 0.016667 radian/second [rad/s]
rad/min to rad/s →
- 1 radian/second [rad/s] = 60 radian/minute [rad/min]
rad/s to rad/min → - 1 radian/second [rad/s] = 3600 radian/hour [rad/h]
rad/s to rad/h → - 1 revolution/minute [rpm] = 0.10472 radian/second [rad/s]
rpm to rad/s →
- 1 degree/second [°/s] = 0.0174533 radian/second [rad/s]
deg/s to rad/s → - 1 degree/second [°/s] = 0.166667 revolution/minute [rpm]
deg/s to rpm → - 1 revolution/second [rps] = 6.28318 radian/second [rad/s]
rps to rad/s →
- 1 revolution/hour [rph] = 0.001745 radian/second [rad/s]
rph to rad/s →