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Convert Radians per Second Squared to Revolutions per Second Squared

Radian per Second Squared (rad/s²) to Revolution per Second Squared (rev/s²) unit conversion — enter any value below to get an instant result, or use the table for common values.

Results from this calculator are estimates provided for general informational purposes only, based on formulas, rates, and standards commonly accepted as of 2026. Figures may differ slightly from other calculators or professional sources due to rounding methods, differing assumptions, or regional regulations, and rules may change over time. Always consult a qualified professional — such as a financial advisor, healthcare provider, or other relevant specialist — before making decisions based on these results.

The numeric value you want to convert. Decimals are accepted.

Result

1 rad/s² = 0.15915494 rev/s²

1 Radian per Second Squared = 0.15915494 Revolutions per Second Squared

1 Revolution per Second Squared = 6.2831853 Radians per Second Squared

1 rad/s² in every supported unit

Conversion chart: Radian per Second Squared to Revolutions per Second Squared

Conversion table

Radian per Second Squared (rad/s²) Revolution per Second Squared (rev/s²)
0.01 rad/s² 0.0015915494 rev/s²
0.1 rad/s² 0.015915494 rev/s²
1 rad/s² 0.15915494 rev/s²
2 rad/s² 0.31830989 rev/s²
3 rad/s² 0.47746483 rev/s²
5 rad/s² 0.79577472 rev/s²
10 rad/s² 1.5915494 rev/s²
20 rad/s² 3.1830989 rev/s²
50 rad/s² 7.9577472 rev/s²
100 rad/s² 15.915494 rev/s²
1000 rad/s² 159.15494 rev/s²

Radian per Second Squared (rad/s²)

Definition: The SI derived unit of angular acceleration, describing how quickly an object's angular velocity — measured in radians per second — changes each second.

History: Formalized alongside the radian per second as SI adopted the radian for plane angle, giving physicists and engineers a consistent way to express rotational analogs of linear acceleration (a = dv/dt becomes α = dω/dt).

Current use: The standard unit in rotational dynamics equations relating torque, moment of inertia, and angular acceleration (τ = Iα), used throughout mechanical and aerospace engineering.

Revolution per Second Squared (rev/s²)

Definition: An angular acceleration unit counting how many full revolutions per second of rotational speed an object gains each second, equal to 2π radians per second squared.

History: A natural extension of revolutions per second (a common rotational-speed unit) into the acceleration domain, used whenever spin-up rate is more intuitively described in whole turns than radians.

Current use: Used in engine and turbine spin-up analysis, where rotational speed is already tracked in revolutions per second and its rate of change is the quantity of interest.

Supported Units

Unit Symbol In Radians per Second Squared
Radian per Second Squared rad/s² 1 rad/s²
Radian per Minute Squared rad/min² 0.0002777778 rad/s²
Radian per Hour Squared rad/h² 7.72E-08 rad/s²
Degree per Second Squared °/s² 0.017453292 rad/s²
Degree per Minute Squared °/min² 4.8481E-06 rad/s²
Degree per Hour Squared °/h² 1.3467E-09 rad/s²
Revolution per Second Squared rev/s² 6.2831853 rad/s²
Revolution per Minute Squared rev/min² 0.0017453293 rad/s²
Revolution per Hour Squared rev/h² 4.848E-07 rad/s²

About These Parameters

Value
The angular acceleration value you want to convert, expressed in the "From" unit. Accepts decimals.
From Unit
The angular acceleration unit your input value is currently measured in — for example, a motor's RPM-per-minute spin-up rate or a physics problem's radians-per-second-squared value.
To Unit
The angular acceleration unit you want the result converted into. Use the swap button to flip From and To instantly.

How Angular Acceleration Conversion Works

The Formula

Every unit here is defined by a fixed multiplier relative to the radian per second squared. To convert a value from one unit to another:

result = value × (factor of "From" unit ÷ factor of "To" unit)

For Radian per Second Squared → Revolution per Second Squared: multiply by 0.15915494. For example, 1 rad/s² × 0.15915494 = 0.15915494 rev/s².

Angular Acceleration and Torque

Angular acceleration is the rotational counterpart of linear acceleration, and it plays the same role in rotational dynamics that ordinary acceleration plays in Newton's second law. Just as force equals mass times acceleration (F = ma), torque equals moment of inertia times angular acceleration (τ = Iα) — a heavier flywheel (larger moment of inertia) needs more torque to reach the same spin-up rate as a lighter one. This relationship is central to motor sizing, drivetrain design, and any engineering problem involving how quickly a rotating system can speed up or slow down.

Spin-Up and Spin-Down Rates in Practice

Angular acceleration shows up whenever a rotating system's speed is changing rather than holding steady — an electric motor ramping up from a standstill to its rated RPM, a turbine slowing down after a shutdown, or a centrifuge accelerating a sample to operating speed. Engineers use this unit to specify how quickly a system reaches its target rotational speed, which affects everything from motor controller design to how much mechanical stress a fast spin-up puts on a shaft or bearing.

Example

1 rad/s² equals 0.15915494 rev/s². For scale, a washing machine motor accelerating from a standstill to a 1,200 RPM spin cycle in about 10 seconds is averaging roughly 120 RPM per second of angular acceleration — equivalent to about 12.566371 rad/s² on this scale (120 RPM/s converted to RPM per minute squared).

Frequently Asked Questions

How many Revolutions per Second Squared are in 1 Radian per Second Squared?

1 Radian per Second Squared (rad/s²) equals exactly 0.15915494 Revolutions per Second Squared (rev/s²).

What's the difference between angular velocity and angular acceleration?

Angular velocity describes how fast something is currently spinning (e.g. RPM or radians per second); angular acceleration describes how quickly that spin rate is changing. A motor holding a constant 3,000 RPM has angular velocity but zero angular acceleration; the same motor ramping up from 0 to 3,000 RPM has significant angular acceleration during the ramp-up period.

How does angular acceleration relate to torque?

Torque equals moment of inertia times angular acceleration (τ = Iα), the direct rotational analog of Newton's second law (F = ma). A motor with more available torque, or a load with less rotational inertia, can achieve a higher angular acceleration — this is exactly why lighter flywheels spin up faster than heavier ones given the same motor.

How accurate are these conversions?

Every conversion factor used here is derived from the exact mathematical relationships between radians, degrees, and revolutions (e.g. 1 revolution = 2π radians = 360 degrees exactly), squared for the time component — results are limited only by floating-point display precision, not by rounded conversion constants.

Convert Radian per Second Squared to Other Angular Acceleration Units

Radian per Second Squared to Radians per Minute Squared Radian per Second Squared to Radians per Hour Squared Radian per Second Squared to Degrees per Second Squared Radian per Second Squared to Degrees per Minute Squared Radian per Second Squared to Degrees per Hour Squared Radian per Second Squared to Revolutions per Second Squared Radian per Second Squared to Revolutions per Minute Squared Radian per Second Squared to Revolutions per Hour Squared

Possible Angular Acceleration Conversions

Radian per Second Squared to Degrees per Minute Squared Revolution per Hour Squared to Degrees per Hour Squared Revolution per Second Squared to Revolutions per Hour Squared Degree per Minute Squared to Revolutions per Second Squared Degree per Hour Squared to Radians per Minute Squared Degree per Hour Squared to Revolutions per Second Squared Radian per Second Squared to Radians per Minute Squared Radian per Minute Squared to Revolutions per Hour Squared Radian per Minute Squared to Revolutions per Minute Squared Revolution per Second Squared to Revolutions per Minute Squared Revolution per Minute Squared to Degrees per Hour Squared Degree per Hour Squared to Revolutions per Minute Squared Radian per Minute Squared to Radians per Hour Squared Revolution per Hour Squared to Radians per Hour Squared Revolution per Second Squared to Radians per Second Squared Radian per Minute Squared to Degrees per Minute Squared Degree per Second Squared to Radians per Second Squared Revolution per Second Squared to Degrees per Minute Squared Revolution per Second Squared to Degrees per Second Squared Degree per Hour Squared to Degrees per Minute Squared Radian per Hour Squared to Degrees per Minute Squared Revolution per Hour Squared to Degrees per Minute Squared Degree per Minute Squared to Radians per Minute Squared Radian per Hour Squared to Revolutions per Minute Squared Radian per Hour Squared to Degrees per Hour Squared Radian per Second Squared to Revolutions per Minute Squared Radian per Hour Squared to Radians per Minute Squared Degree per Second Squared to Revolutions per Second Squared Revolution per Second Squared to Radians per Minute Squared Degree per Hour Squared to Radians per Second Squared Revolution per Minute Squared to Degrees per Minute Squared Degree per Minute Squared to Radians per Second Squared Degree per Minute Squared to Revolutions per Minute Squared Degree per Minute Squared to Radians per Hour Squared Revolution per Hour Squared to Radians per Second Squared Revolution per Hour Squared to Radians per Minute Squared Revolution per Second Squared to Degrees per Hour Squared Degree per Minute Squared to Degrees per Hour Squared Revolution per Minute Squared to Radians per Second Squared Revolution per Second Squared to Radians per Hour Squared Revolution per Minute Squared to Revolutions per Hour Squared Radian per Minute Squared to Revolutions per Second Squared Radian per Second Squared to Degrees per Hour Squared Radian per Hour Squared to Revolutions per Second Squared Degree per Second Squared to Revolutions per Hour Squared Degree per Second Squared to Degrees per Minute Squared Radian per Hour Squared to Revolutions per Hour Squared Radian per Second Squared to Revolutions per Second Squared Degree per Hour Squared to Radians per Hour Squared Revolution per Hour Squared to Revolutions per Minute Squared Radian per Second Squared to Radians per Hour Squared Degree per Second Squared to Radians per Minute Squared Degree per Minute Squared to Degrees per Second Squared Degree per Second Squared to Radians per Hour Squared Radian per Hour Squared to Degrees per Second Squared Radian per Hour Squared to Radians per Second Squared Revolution per Minute Squared to Revolutions per Second Squared Revolution per Minute Squared to Degrees per Second Squared Degree per Second Squared to Degrees per Hour Squared Revolution per Minute Squared to Radians per Hour Squared Radian per Second Squared to Degrees per Second Squared Radian per Minute Squared to Radians per Second Squared Degree per Hour Squared to Degrees per Second Squared Revolution per Minute Squared to Radians per Minute Squared Degree per Hour Squared to Revolutions per Hour Squared Revolution per Hour Squared to Degrees per Second Squared Radian per Minute Squared to Degrees per Second Squared Degree per Second Squared to Revolutions per Minute Squared Radian per Second Squared to Revolutions per Hour Squared Degree per Minute Squared to Revolutions per Hour Squared Radian per Minute Squared to Degrees per Hour Squared Revolution per Hour Squared to Revolutions per Second Squared

See also