Convert Degrees per second squared to RPM per second
Instantly convert Degrees per second squared (deg/s²) to RPM per second (RPM/s) with our free online calculator.
Formula: deg/s² to RPM/s — multiply by 0.166667
Reference Table
| Degrees per second squared (deg/s²) | RPM per second (RPM/s) |
|---|---|
| 1 | 0.166667 |
| 5 | 0.833333 |
| 10 | 1.66667 |
| 25 | 4.16667 |
| 50 | 8.33333 |
| 100 | 16.6667 |
How to Convert Degrees per second squared to RPM per second
Formula
To convert Degrees per second squared (deg/s²) to RPM per second (RPM/s): multiply by 0.166667
Step-by-Step
- Start with your value in Degrees per second squared (deg/s²).
- Multiply by 0.166667 to perform the conversion.
- The result is your value expressed in RPM per second (RPM/s).
Conversion Factor
1 deg/s² = 0.166667 RPM/s
Reverse Factor
1 RPM/s = 6 deg/s²
Worked Example
Convert 25 Degrees per second squared to RPM per second: 25 deg/s² = 4.16667 RPM/s
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.
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.
Quick Facts
- 1 Degree per second squared equals 0.166667 RPM per second
- 1 RPM per second equals 6 Degrees per second squared
- Degree per second squared is a unit of angular acceleration
- RPM per second is a unit of angular acceleration
- This conversion is commonly used in motor control, robotics, and rotational dynamics
Common Degree per second squared to RPM per second Conversions
| Degrees per second squared (deg/s²) | RPM per second (RPM/s) |
|---|---|
| 0.01 | 0.00166667 |
| 0.1 | 0.0166667 |
| 0.25 | 0.0416667 |
| 0.5 | 0.0833333 |
| 1 | 0.166667 |
| 2 | 0.333333 |
| 3 | 0.5 |
| 5 | 0.833333 |
| 10 | 1.66667 |
| 15 | 2.5 |
| 20 | 3.33333 |
| 25 | 4.16667 |
| 50 | 8.33333 |
| 75 | 12.5 |
| 100 | 16.6667 |
| 250 | 41.6667 |
| 500 | 83.3333 |
| 1000 | 166.667 |
| 5000 | 833.333 |
| 10000 | 1666.67 |
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.
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.
Why Convert Degrees per second squared to RPM per second?
Converting between Degrees per second squared and RPM per second 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 Degrees per second squared to RPM per second?
Angular acceleration expressed in degrees per second per second (1 deg/s² = π/180 rad/s² ≈ 0. To convert Degrees per second squared to RPM per second, multiply by 0.166667. For example, 25 deg/s² equals 4.16667 RPM/s.
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.
How many Degrees per second squared are in 1 RPM per second?
There are 6 Degrees per second squared in 1 RPM per second.
What is the formula for Degree per second squared to RPM per second conversion?
The formula is: multiply by 0.166667. This means 1 deg/s² = 0.166667 RPM/s.
Is a Degree per second squared bigger than a RPM per second?
Yes. One Degree per second squared is larger than one RPM per second because 1 deg/s² equals 0.166667 RPM/s, which is less than 1.
When do you need to convert between Degrees per second squared and RPM per second?
The change in rotational speed in revolutions per minute, per second (1 RPM/s = 2π/60 rad/s² ≈ 0. Degree per second squared and RPM per second 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.