Convert RPM per second to Degrees per second squared
Instantly convert RPM per second (RPM/s) to Degrees per second squared (deg/s²) with our free online calculator.
Formula: RPM/s to deg/s² — multiply by 6
Reference Table
| RPM per second (RPM/s) | Degrees per second squared (deg/s²) |
|---|---|
| 1 | 6 |
| 5 | 30 |
| 10 | 60 |
| 25 | 150 |
| 50 | 300 |
| 100 | 600 |
How to Convert RPM per second to Degrees per second squared
Formula
To convert RPM per second (RPM/s) to Degrees per second squared (deg/s²): multiply by 6
Step-by-Step
- Start with your value in RPM per second (RPM/s).
- Multiply by 6 to perform the conversion.
- The result is your value expressed in Degrees per second squared (deg/s²).
Conversion Factor
1 RPM/s = 6 deg/s²
Reverse Factor
1 deg/s² = 0.166667 RPM/s
Worked Example
Convert 25 RPM per second to Degrees per second squared: 25 RPM/s = 150 deg/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 Degree per second squared (deg/s²)
Angular acceleration expressed in degrees per second per second (1 deg/s² = π/180 rad/s² ≈ 0.01745 rad/s² = 1/6 RPM/s). deg/s² is the standard reporting unit in aerospace navigation and aviation control-system design where rotation rates are also reported in deg/s for consistency: spacecraft, missile, and satellite attitude-control rate-loop tuning per AIAA standards; aviation autopilot pitch / roll / yaw inner-loop PID tuning per FAA AC 25-7C transport-aircraft handling-qualities specifications; aerobatic-airframe maneuver-load calculations (typical aerobatic-category aircraft pitch acceleration limits 100-300 deg/s²); and consumer IMU/gyro datasheets for expected drift and step-response characterization per IEEE 952 inertial-sensor terminology. Drone flight-controller PID gains on the rate loop (Betaflight, ArduPilot, PX4) are often tuned in deg/s² for pilot-intuitive stability and reflex-response tuning.
Quick Facts
- 1 RPM per second equals 6 Degrees per second squared
- 1 Degree per second squared equals 0.166667 RPM per second
- RPM per second is a unit of angular acceleration
- Degree 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 Degree per second squared Conversions
| RPM per second (RPM/s) | Degrees per second squared (deg/s²) |
|---|---|
| 0.01 | 0.06 |
| 0.1 | 0.6 |
| 0.25 | 1.5 |
| 0.5 | 3 |
| 1 | 6 |
| 2 | 12 |
| 3 | 18 |
| 5 | 30 |
| 10 | 60 |
| 15 | 90 |
| 20 | 120 |
| 25 | 150 |
| 50 | 300 |
| 75 | 450 |
| 100 | 600 |
| 250 | 1500 |
| 500 | 3000 |
| 1000 | 6000 |
| 5000 | 30000 |
| 10000 | 60000 |
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 Degrees per second squared
The Degree per second squared (symbol: deg/s²) is a unit of angular acceleration. Angular acceleration expressed in degrees per second per second (1 deg/s² = π/180 rad/s² ≈ 0.01745 rad/s² = 1/6 RPM/s). deg/s² is the standard reporting unit in aerospace navigation and aviation control-system design where rotation rates are also reported in deg/s for consistency: spacecraft, missile, and satellite attitude-control rate-loop tuning per AIAA standards; aviation autopilot pitch / roll / yaw inner-loop PID tuning per FAA AC 25-7C transport-aircraft handling-qualities specifications; aerobatic-airframe maneuver-load calculations (typical aerobatic-category aircraft pitch acceleration limits 100-300 deg/s²); and consumer IMU/gyro datasheets for expected drift and step-response characterization per IEEE 952 inertial-sensor terminology. Drone flight-controller PID gains on the rate loop (Betaflight, ArduPilot, PX4) are often tuned in deg/s² for pilot-intuitive stability and reflex-response tuning.
Degrees per second squared are commonly used in motor control, robotics, and rotational dynamics.
Why Convert RPM per second to Degrees per second squared?
Converting between RPM per second and Degrees 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 Degrees 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 Degrees per second squared, multiply by 6. For example, 25 RPM/s equals 150 deg/s².
How many Degrees per second squared are in 1 RPM per second?
There are 6 Degrees per second squared in 1 RPM per second.
How many RPM per second are in 1 Degree per second squared?
There are 0.166667 RPM per second in 1 Degree per second squared.
What is the formula for RPM per second to Degree per second squared conversion?
The formula is: multiply by 6. This means 1 RPM/s = 6 deg/s².
Is a RPM per second bigger than a Degree per second squared?
No. One RPM per second is smaller than one Degree per second squared because 1 RPM/s equals 6 deg/s², which is greater than 1.
When do you need to convert between RPM per second and Degrees per second squared?
Angular acceleration expressed in degrees per second per second (1 deg/s² = π/180 rad/s² ≈ 0. RPM per second and Degree 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.