Convert Revolutions per second squared to Radians per second squared
Instantly convert Revolutions per second squared (rev/s²) to Radians per second squared (rad/s²) with our free online calculator.
Formula: rev/s² to rad/s² — multiply by 6.28319
Reference Table
| Revolutions per second squared (rev/s²) | Radians per second squared (rad/s²) |
|---|---|
| 1 | 6.28319 |
| 5 | 31.4159 |
| 10 | 62.8319 |
| 25 | 157.08 |
| 50 | 314.159 |
| 100 | 628.319 |
How to Convert Revolutions per second squared to Radians per second squared
Formula
To convert Revolutions per second squared (rev/s²) to Radians per second squared (rad/s²): multiply by 6.28319
Step-by-Step
- Start with your value in Revolutions per second squared (rev/s²).
- Multiply by 6.28319 to perform the conversion.
- The result is your value expressed in Radians per second squared (rad/s²).
Conversion Factor
1 rev/s² = 6.28319 rad/s²
Reverse Factor
1 rad/s² = 0.159155 rev/s²
Worked Example
Convert 25 Revolutions per second squared to Radians per second squared: 25 rev/s² = 157.08 rad/s²
About Revolution per second squared (rev/s²)
Angular acceleration expressed in full rotations per second per second (1 rev/s² = 2π rad/s² ≈ 6.283 rad/s² = 360 deg/s² = 60 RPM/s). rev/s² is used in specialty rotating-equipment analysis where the natural rotational-rate timebase is rev/s (rather than RPM or rad/s): large laboratory centrifuges (Beckman Optima ultracentrifuges with programmable acceleration/deceleration in rev/s² for rotor-protection during rapid spin-down), flywheel energy-storage systems (Beacon Power 25 MW grid-frequency-regulation flywheels with controlled spin-up profiles), automotive turbocharger spin-up transient analysis (the lag-time response from low-end RPM to spool-up at full boost), ultra-high-speed machining spindles, and inertial-confinement-fusion target-rotation rigs. Convert rev/s² to rad/s² by multiplying by 2π; to RPM/s by multiplying by 60; to deg/s² by multiplying by 360.
About Radian per second squared (rad/s²)
The SI unit of angular acceleration (ISO 80000-3 §3-8) — the rate of change of angular velocity with respect to time (α = dω/dt). rad/s² is the universal working unit in rotational dynamics: the rotational form of Newton's second law τ = I·α (torque equals mass moment of inertia times angular acceleration) is dimensionally consistent only when α is in rad/s². Used extensively in: robotics motion planning (joint-trajectory generation with bounded velocity AND acceleration per ROS MoveIt! and KUKA KRL controllers), vehicle drivetrain spin-up simulations (clutch-engagement transient analysis), rotor balancing per ISO 21940 (residual-unbalance limits trigger speed-up / coast-down acceleration testing), control-system tuning (motor controllers expose acceleration limits in rad/s² for ramp-rate programming), and FEA rotating-machinery transient analysis (Abaqus/Standard, ANSYS Workbench Transient Structural). Reference values: a typical industrial servo motor commanded acceleration 100-1,000 rad/s²; an automotive engine free-revving acceleration 200-500 rad/s²; a hard-drive spindle spin-up 200-500 rad/s². 1 rad/s² ≈ 9.549 RPM/s.
Quick Facts
- 1 Revolution per second squared equals 6.28319 Radians per second squared
- 1 Radian per second squared equals 0.159155 Revolutions per second squared
- Revolution per second squared is a unit of angular acceleration
- Radian per second squared is a unit of angular acceleration
- This conversion is commonly used in motor control, robotics, and rotational dynamics
Common Revolution per second squared to Radian per second squared Conversions
| Revolutions per second squared (rev/s²) | Radians per second squared (rad/s²) |
|---|---|
| 0.01 | 0.0628319 |
| 0.1 | 0.628319 |
| 0.25 | 1.5708 |
| 0.5 | 3.14159 |
| 1 | 6.28319 |
| 2 | 12.5664 |
| 3 | 18.8496 |
| 5 | 31.4159 |
| 10 | 62.8319 |
| 15 | 94.2478 |
| 20 | 125.664 |
| 25 | 157.08 |
| 50 | 314.159 |
| 75 | 471.239 |
| 100 | 628.319 |
| 250 | 1570.8 |
| 500 | 3141.59 |
| 1000 | 6283.19 |
| 5000 | 31415.9 |
| 10000 | 62831.9 |
Understanding Revolutions per second squared
The Revolution per second squared (symbol: rev/s²) is a unit of angular acceleration. Angular acceleration expressed in full rotations per second per second (1 rev/s² = 2π rad/s² ≈ 6.283 rad/s² = 360 deg/s² = 60 RPM/s). rev/s² is used in specialty rotating-equipment analysis where the natural rotational-rate timebase is rev/s (rather than RPM or rad/s): large laboratory centrifuges (Beckman Optima ultracentrifuges with programmable acceleration/deceleration in rev/s² for rotor-protection during rapid spin-down), flywheel energy-storage systems (Beacon Power 25 MW grid-frequency-regulation flywheels with controlled spin-up profiles), automotive turbocharger spin-up transient analysis (the lag-time response from low-end RPM to spool-up at full boost), ultra-high-speed machining spindles, and inertial-confinement-fusion target-rotation rigs. Convert rev/s² to rad/s² by multiplying by 2π; to RPM/s by multiplying by 60; to deg/s² by multiplying by 360.
Revolutions per second squared are commonly used in motor control, robotics, and rotational dynamics.
Understanding Radians per second squared
The Radian per second squared (symbol: rad/s²) is a unit of angular acceleration. The SI unit of angular acceleration (ISO 80000-3 §3-8) — the rate of change of angular velocity with respect to time (α = dω/dt). rad/s² is the universal working unit in rotational dynamics: the rotational form of Newton's second law τ = I·α (torque equals mass moment of inertia times angular acceleration) is dimensionally consistent only when α is in rad/s². Used extensively in: robotics motion planning (joint-trajectory generation with bounded velocity AND acceleration per ROS MoveIt! and KUKA KRL controllers), vehicle drivetrain spin-up simulations (clutch-engagement transient analysis), rotor balancing per ISO 21940 (residual-unbalance limits trigger speed-up / coast-down acceleration testing), control-system tuning (motor controllers expose acceleration limits in rad/s² for ramp-rate programming), and FEA rotating-machinery transient analysis (Abaqus/Standard, ANSYS Workbench Transient Structural). Reference values: a typical industrial servo motor commanded acceleration 100-1,000 rad/s²; an automotive engine free-revving acceleration 200-500 rad/s²; a hard-drive spindle spin-up 200-500 rad/s². 1 rad/s² ≈ 9.549 RPM/s.
Radians per second squared are commonly used in motor control, robotics, and rotational dynamics.
Why Convert Revolutions per second squared to Radians per second squared?
Converting between Revolutions per second squared and Radians per second squared is a frequent requirement for engineers, scientists, and students working with angular acceleration values. Different industries and regions favour different unit systems, so having a dependable conversion tool saves time and prevents errors in technical calculations. Whether you are verifying a specification sheet, cross-checking simulation results, or preparing a report for an international audience, accurate angular acceleration conversion is essential.
Frequently Asked Questions
How do I convert Revolutions per second squared to Radians per second squared?
Angular acceleration expressed in full rotations per second per second (1 rev/s² = 2π rad/s² ≈ 6. To convert Revolutions per second squared to Radians per second squared, multiply by 6.28319. For example, 25 rev/s² equals 157.08 rad/s².
How many Radians per second squared are in 1 Revolution per second squared?
There are 6.28319 Radians per second squared in 1 Revolution per second squared.
How many Revolutions per second squared are in 1 Radian per second squared?
There are 0.159155 Revolutions per second squared in 1 Radian per second squared.
What is the formula for Revolution per second squared to Radian per second squared conversion?
The formula is: multiply by 6.28319. This means 1 rev/s² = 6.28319 rad/s².
Is a Revolution per second squared bigger than a Radian per second squared?
No. One Revolution per second squared is smaller than one Radian per second squared because 1 rev/s² equals 6.28319 rad/s², which is greater than 1.
When do you need to convert between Revolutions per second squared and Radians per second squared?
The SI unit of angular acceleration (ISO 80000-3 §3-8) — the rate of change of angular velocity with respect to time (α = dω/dt). Revolution per second squared and Radian per second squared are both angular acceleration units, so conversion comes up whenever one source of information uses one unit and another uses the other — a classic cross-reference challenge in engineering, trade, travel, and everyday life.