Convert RPM per second to Revolutions per second squared
Instantly convert RPM per second (RPM/s) to Revolutions per second squared (rev/s²) with our free online calculator.
Formula: RPM/s to rev/s² — multiply by 0.0166667
Reference Table
| RPM per second (RPM/s) | Revolutions per second squared (rev/s²) |
|---|---|
| 1 | 0.0166667 |
| 5 | 0.0833333 |
| 10 | 0.166667 |
| 25 | 0.416667 |
| 50 | 0.833333 |
| 100 | 1.66667 |
How to Convert RPM per second to Revolutions per second squared
Formula
To convert RPM per second (RPM/s) to Revolutions per second squared (rev/s²): multiply by 0.0166667
Step-by-Step
- Start with your value in RPM per second (RPM/s).
- Multiply by 0.0166667 to perform the conversion.
- The result is your value expressed in Revolutions per second squared (rev/s²).
Conversion Factor
1 RPM/s = 0.0166667 rev/s²
Reverse Factor
1 rev/s² = 60 RPM/s
Worked Example
Convert 25 RPM per second to Revolutions per second squared: 25 RPM/s = 0.416667 rev/s²
About RPM per second (RPM/s)
The change in rotational speed in revolutions per minute, per second (1 RPM/s = 2π/60 rad/s² ≈ 0.1047 rad/s² = 6 deg/s²). RPM/s is the standard motor-drive specification for acceleration ramp programming: a servo-motor catalog spec of '0 to 3,000 RPM in 0.5 seconds' translates to a 6,000 RPM/s acceleration limit. CNC machine-tool controllers (Siemens 840D, Fanuc 30i / 31i, Haas NGC) expose spindle and axis ramp-rate limits in RPM/s for programmable acceleration profiles; EV traction-motor inverters (Tesla Drive Unit, Cascadia Motion CM200) advertise peak acceleration in RPM/s as a key performance spec; industrial Variable-Frequency-Drive (VFD) parameters (ABB ACS880, Allen-Bradley PowerFlex 755, Siemens SINAMICS G120) all expose acceleration / deceleration ramp times that internally compute RPM/s limits per IEC 61800-4 adjustable-speed-drive standards. Convert RPM/s to rad/s² by multiplying by π/30; to deg/s² by multiplying by 6.
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.
Quick Facts
- 1 RPM per second equals 0.0166667 Revolutions per second squared
- 1 Revolution per second squared equals 60 RPM per second
- RPM per second is a unit of angular acceleration
- Revolution per second squared is a unit of angular acceleration
- This conversion is commonly used in motor control, robotics, and rotational dynamics
Common RPM per second to Revolution per second squared Conversions
| RPM per second (RPM/s) | Revolutions per second squared (rev/s²) |
|---|---|
| 0.01 | 0.000166667 |
| 0.1 | 0.00166667 |
| 0.25 | 0.00416667 |
| 0.5 | 0.00833333 |
| 1 | 0.0166667 |
| 2 | 0.0333333 |
| 3 | 0.05 |
| 5 | 0.0833333 |
| 10 | 0.166667 |
| 15 | 0.25 |
| 20 | 0.333333 |
| 25 | 0.416667 |
| 50 | 0.833333 |
| 75 | 1.25 |
| 100 | 1.66667 |
| 250 | 4.16667 |
| 500 | 8.33333 |
| 1000 | 16.6667 |
| 5000 | 83.3333 |
| 10000 | 166.667 |
Understanding RPM per second
The RPM per second (symbol: RPM/s) is a unit of angular acceleration. The change in rotational speed in revolutions per minute, per second (1 RPM/s = 2π/60 rad/s² ≈ 0.1047 rad/s² = 6 deg/s²). RPM/s is the standard motor-drive specification for acceleration ramp programming: a servo-motor catalog spec of '0 to 3,000 RPM in 0.5 seconds' translates to a 6,000 RPM/s acceleration limit. CNC machine-tool controllers (Siemens 840D, Fanuc 30i / 31i, Haas NGC) expose spindle and axis ramp-rate limits in RPM/s for programmable acceleration profiles; EV traction-motor inverters (Tesla Drive Unit, Cascadia Motion CM200) advertise peak acceleration in RPM/s as a key performance spec; industrial Variable-Frequency-Drive (VFD) parameters (ABB ACS880, Allen-Bradley PowerFlex 755, Siemens SINAMICS G120) all expose acceleration / deceleration ramp times that internally compute RPM/s limits per IEC 61800-4 adjustable-speed-drive standards. Convert RPM/s to rad/s² by multiplying by π/30; to deg/s² by multiplying by 6.
RPM per second are commonly used in motor control, robotics, and rotational dynamics.
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.
Why Convert RPM per second to Revolutions per second squared?
Converting between RPM per second and Revolutions 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 RPM per second to Revolutions per second squared?
The change in rotational speed in revolutions per minute, per second (1 RPM/s = 2π/60 rad/s² ≈ 0. To convert RPM per second to Revolutions per second squared, multiply by 0.0166667. For example, 25 RPM/s equals 0.416667 rev/s².
How many Revolutions per second squared are in 1 RPM per second?
There are 0.0166667 Revolutions per second squared in 1 RPM per second.
How many RPM per second are in 1 Revolution per second squared?
There are 60 RPM per second in 1 Revolution per second squared.
What is the formula for RPM per second to Revolution per second squared conversion?
The formula is: multiply by 0.0166667. This means 1 RPM/s = 0.0166667 rev/s².
Is a RPM per second bigger than a Revolution per second squared?
Yes. One RPM per second is larger than one Revolution per second squared because 1 RPM/s equals 0.0166667 rev/s², which is less than 1.
When do you need to convert between RPM per second and Revolutions per second squared?
Angular acceleration expressed in full rotations per second per second (1 rev/s² = 2π rad/s² ≈ 6. RPM per second and Revolution 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.