rad/s to deg/min Converter

Convert radians per second to degrees per minute instantly.

Includes bidirectional conversion, quick references, and copyable results.

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How This Tool Works

This converter changes angular velocity from radians per second to degrees per minute. It first converts radians to degrees with 180 / π, then converts seconds to minutes by multiplying by 60.

The combined factor is 10800 / π, so 1 rad/s = 3437.75 deg/min. To convert back, divide the deg/min value by the same factor.

  • Input: Angular velocity in radians per second (rad/s).
  • Formula: deg/min = rad/s × 10800 / π.
  • Output: Equivalent angular velocity in degrees per minute (deg/min).

Why This Matters

Radians per second are common in physics formulas, while degrees per minute can be easier to read for slower rotating systems, positioning workflows, and equipment specifications. Converting the rate keeps both the angular unit and the time unit consistent.

  • Mechanical checks: Compare sensor output with degree-based speed specifications.
  • Robotics: Translate radian-based controller values into slower degree-per-minute motion.
  • Sanity check: A larger deg/min number is expected because each radian is about 57.3 degrees and each second is scaled to one minute.

Common Mistakes to Avoid

  • Do not read deg/min as arcminutes: This tool outputs degrees per minute, not minutes of arc.
  • Do not stop at degrees per second: rad/s × 180 / π gives deg/s; multiply by 60 more for deg/min.
  • Keep rate units explicit: The slash in deg/min means degrees per minute, not a degree-minute angle notation.

Frequently Asked Questions

Common questions about the rad/s to deg/min Converter

Angular velocity measures how fast something rotates, expressed as angle change per unit time. Common units include radians per second (rad/s), degrees per second, and revolutions per minute (RPM).
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Sources & References

International System of Units (SI): angular velocity

Angular velocity is measured in the radian per second (rad/s). Conversions between SI and other units use exact, internationally agreed factors maintained by NIST.
→Source: NIST — International System of Units (SI)

International System of Units (SI)

Authoritative definitions for angular velocity, from the BIPM SI Brochure (9th edition), the defining reference for the SI.
→Source: BIPM — SI Brochure (9th ed.)

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