Convert Revolutions per second squared to Degrees per second squared
Instantly convert Revolutions per second squared (rev/s²) to Degrees per second squared (deg/s²) with our free online calculator.
Formula: rev/s² to deg/s² — multiply by 360
Reference Table
| Revolutions per second squared (rev/s²) | Degrees per second squared (deg/s²) |
|---|---|
| 1 | 360 |
| 5 | 1800 |
| 10 | 3600 |
| 25 | 9000 |
| 50 | 18000 |
| 100 | 36000 |
How to Convert Revolutions per second squared to Degrees per second squared
Formula
To convert Revolutions per second squared (rev/s²) to Degrees per second squared (deg/s²): multiply by 360
Step-by-Step
- Start with your value in Revolutions per second squared (rev/s²).
- Multiply by 360 to perform the conversion.
- The result is your value expressed in Degrees per second squared (deg/s²).
Conversion Factor
1 rev/s² = 360 deg/s²
Reverse Factor
1 deg/s² = 0.00277778 rev/s²
Worked Example
Convert 25 Revolutions per second squared to Degrees per second squared: 25 rev/s² = 9000 deg/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 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 Revolution per second squared equals 360 Degrees per second squared
- 1 Degree per second squared equals 0.00277778 Revolutions per second squared
- Revolution per second squared 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 Revolution per second squared to Degree per second squared Conversions
| Revolutions per second squared (rev/s²) | Degrees per second squared (deg/s²) |
|---|---|
| 0.01 | 3.6 |
| 0.1 | 36 |
| 0.25 | 90 |
| 0.5 | 180 |
| 1 | 360 |
| 2 | 720 |
| 3 | 1080 |
| 5 | 1800 |
| 10 | 3600 |
| 15 | 5400 |
| 20 | 7200 |
| 25 | 9000 |
| 50 | 18000 |
| 75 | 27000 |
| 100 | 36000 |
| 250 | 90000 |
| 500 | 180000 |
| 1000 | 360000 |
| 5000 | 1800000 |
| 10000 | 3600000 |
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 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 Revolutions per second squared to Degrees per second squared?
Converting between Revolutions per second squared 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 Revolutions per second squared to Degrees 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 Degrees per second squared, multiply by 360. For example, 25 rev/s² equals 9000 deg/s².
How many Degrees per second squared are in 1 Revolution per second squared?
There are 360 Degrees per second squared in 1 Revolution per second squared.
How many Revolutions per second squared are in 1 Degree per second squared?
There are 0.00277778 Revolutions per second squared in 1 Degree per second squared.
What is the formula for Revolution per second squared to Degree per second squared conversion?
The formula is: multiply by 360. This means 1 rev/s² = 360 deg/s².
Is a Revolution per second squared bigger than a Degree per second squared?
No. One Revolution per second squared is smaller than one Degree per second squared because 1 rev/s² equals 360 deg/s², which is greater than 1.
When do you need to convert between Revolutions per second squared and Degrees per second squared?
Angular acceleration expressed in degrees per second per second (1 deg/s² = π/180 rad/s² ≈ 0. Revolution per second squared 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.