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Radian per second squared (rad/s²)

SI unit of angular acceleration: a change in angular speed of one radian per second every second.

What is a radian per second squared?

Symbol
rad/s²
Quantity
Angular Acceleration
Unit system
SI
Definition
SI unit of angular acceleration: a change in angular speed of one radian per second every second.
Exact
Yes, the value is exact by definition
Source
SI Brochure, 9th edition (BIPM, 2019)

Common applications

The SI unit of angular acceleration, used in physics, dynamics and robotics calculations.

Radian per second squared in other angular acceleration units

Radian per second squared quick reference

Radian per second squared in other units
Radian per second squaredDegree per second squaredRevolution per minute per secondRevolution per second squared
1 rad/s²≈ 57.29577951 °/s²≈ 9.549296586 rpm/s≈ 0.1591549431 rev/s²
10 rad/s²≈ 572.9577951 °/s²≈ 95.49296586 rpm/s≈ 1.591549431 rev/s²
100 rad/s²≈ 5729.577951 °/s²≈ 954.9296586 rpm/s≈ 15.91549431 rev/s²
1000 rad/s²≈ 57295.77951 °/s²≈ 9549.296586 rpm/s≈ 159.1549431 rev/s²

Where the radian per second squared fits

The next smaller angular acceleration unit is the revolution per minute per second (rpm/s). 1 rad/s² ≈ 9.549296586 rpm/s, and 1 rpm/s ≈ 0.1047197551 rad/s².

The next larger angular acceleration unit is the revolution per second squared (rev/s²). 1 rad/s² ≈ 0.1591549431 rev/s², and 1 rev/s² ≈ 6.283185307 rad/s².

Frequently asked questions

How many degrees per second squared are in one radian per second squared?
One radian per second squared ≈ 57.29577951 °/s² (degrees per second squared).
How many revolutions per minute per second are in one radian per second squared?
One radian per second squared ≈ 9.549296586 rpm/s (revolutions per minute per second).
How many revolutions per second squared are in one radian per second squared?
One radian per second squared ≈ 0.1591549431 rev/s² (revolutions per second squared).