Convert Degree per second to Radian per second

Please provide values below to convert Degree per second [°/s] to Radian per second [rad/s]

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Unit Information

Degree per second (°/s)

Definition: Angular speed equal to one degree per second.

History: Derived unit combining the degree of angle and the second of time.

Current Use: Used to express moderate angular velocities in engineering and physics.

Radian per second (rad/s)

Definition: SI unit of angular velocity equal to one radian each second.

History: Derived from base SI units of angle (radian) and time (second).

Current Use: The standard physics and engineering unit for angular speed.

Revolutions per minute (rpm)

Definition: Rotational speed equal to one full turn per minute.

History: Popularised by mechanical and automotive industries.

Current Use: Commonly used for speeds of engines, drills, and other machinery.

Revolutions per second (rps)

Definition: Rotational speed equal to one full turn per second.

History: Employed where high rotational speeds must be expressed.

Current Use: Used for turbines, centrifuges, and high-speed motors.

Radian per minute (rad/min)

Definition: Angular speed equal to one radian per minute.

History: Derived from SI angle and time units.

Current Use: Expresses slow angular velocities for astronomical and control applications.

Degree per minute (°/min)

Definition: Angular speed equal to one degree per minute.

History: Combines the non-SI degree with the minute of time.

Current Use: Used for slow rotations and navigation instruments.

Degree per hour (°/h)

Definition: Angular speed equal to one degree per hour.

History: Historically used in astronomy and surveying.

Current Use: Useful for very slow rotations such as Earth rotation or telescope tracking.

All Unit Conversions

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Did you know?

  • Revolutions per minute (RPM) measures rotational speed.
  • Radians per second is the SI unit for angular velocity.
  • Car engines typically operate between 1000-6000 RPM.

Related Categories

Angle
Mass
Enzymatic Activity
Time

Common Conversions

Convert Revolutions per Minute to Radians per Second

rpm * (2π/60)

Back to All Categories

Convert Degree per second to Radian per second

How this conversion works

Converting Degree per second (°/s) to Radian per second (rad/s) is straightforward with Unitly. We apply lossless base-unit math under the hood so you get consistent answers whether you are auditing data pipelines, planning infrastructure, or double-checking homework.

Quick reference: 1 °/s equals 0.01745329252 rad/s. Conversely, 1 rad/s equals 57.295779513082 °/s. Combine these ratios with the in-page calculator to convert any value instantly.

About Degree per second

Definition: Angular speed equal to one degree per second.

History: Derived unit combining the degree of angle and the second of time.

Current use: Used to express moderate angular velocities in engineering and physics.

About Radian per second

Definition: SI unit of angular velocity equal to one radian each second.

History: Derived from base SI units of angle (radian) and time (second).

Current use: The standard physics and engineering unit for angular speed.

Related conversions

Questions people ask

What is rotational speed?
Rotational speed measures how fast an object rotates, often in revolutions per minute (rpm).
How do I convert rpm to rad/s?
Multiply rpm by 2π/60 to get radians per second.

Need to cite your work? Pair these explanations with our JSON-LD schema (already embedded on the page) so search engines and analytics platforms understand the context behind each conversion.