Angular Velocity Converter

Convert between different angular velocity units including rad/s, deg/s, rpm, and rps.

Angular Velocity Converter
ready
$ convert --from [unit] --to [unit] --value [number]
$
>
formulas.ts

// Common Angular Velocity Converter Formulas

1constω = 2πf (angular velocity = 2π × frequency)
2const1 rpm = π/30 rad/s
3const1 rps = 2π rad/s
4const1 deg/s = π/180 rad/s
references.json

// Common Angular Velocity Converter References

{
"Ceiling Fan":"~20 rad/s",
"Car Wheel at 100km/h":"~70 rad/s",
"Jet Turbine":"~1000 rad/s",
"Earth Rotation":"7.27×10⁻⁵ rad/s"
}
README.md

## What is Angular Velocity Conversion?

Angular velocity measures how fast an object rotates, essential in mechanical engineering, physics, and robotics. Our converter handles scientific units (radians per second) and practical units (RPM) used in different applications.

units.ts

// Common Angular Velocity Units Explained

export const rad/s (Radians per Second)

// The SI unit of angular velocity. One complete rotation equals 2π radians per second.

export const RPM (Revolutions per Minute)

// Common in mechanical engineering. Car engines idle at 600-1000 RPM; redline at 6000-9000 RPM.

export const deg/s (Degrees per Second)

// Intuitive for rotation measurements. One full rotation = 360°/s.

i

When to Use This Converter

Our angular velocity converter is valuable for mechanical engineers designing rotating equipment, robotics engineers programming motors, physicists studying rotational motion, and athletes analyzing spin rates.

FAQ.md

## Frequently Asked Questions

01 ### Q: How do I convert RPM to rad/s?

/**

Multiply RPM by 2π/60 or approximately 0.1047. For example, 1000 RPM ≈ 104.7 rad/s.

*/

02 ### Q: What is the angular velocity of Earth?

/**

Earth rotates once every 24 hours, which equals about 7.27 × 10⁻⁵ rad/s or 0.0042°/s - too slow to feel!

*/