Convert Degrees per second to Revolutions per minute
Instantly convert Degrees per second (deg/s) to Revolutions per minute (RPM) with our free online calculator.
Formula: deg/s to RPM — multiply by 0.166667
Reference Table
| Degrees per second (deg/s) | Revolutions per minute (RPM) |
|---|---|
| 1 | 0.166667 |
| 5 | 0.833333 |
| 10 | 1.66667 |
| 25 | 4.16667 |
| 50 | 8.33333 |
| 100 | 16.6667 |
How to Convert Degrees per second to Revolutions per minute
Formula
To convert Degrees per second (deg/s) to Revolutions per minute (RPM): multiply by 0.166667
Step-by-Step
- Start with your value in Degrees per second (deg/s).
- Multiply by 0.166667 to perform the conversion.
- The result is your value expressed in Revolutions per minute (RPM).
Conversion Factor
1 deg/s = 0.166667 RPM
Reverse Factor
1 RPM = 6 deg/s
Worked Example
Convert 25 Degrees per second to Revolutions per minute: 25 deg/s = 4.16667 RPM
About Degree per second (deg/s)
Angular velocity expressed in degrees rotated per second (1 deg/s = π/180 rad/s ≈ 0.01745 rad/s = 1/6 RPM). Deg/s is the standard reporting unit in aviation and aerospace for rotational rates: aircraft yaw / pitch / roll body-rate gyros per ARINC 429 inertial-reference unit data buses, missile guidance systems (typical airframe-rate limits 100-400 deg/s for fighter aircraft, up to 1,000 deg/s for short-range AAMs), satellite attitude-control system (ACS) reaction-wheel and CMG rates per AIAA standards, and the default unit on consumer-grade IMU (inertial measurement unit) datasheets and drone flight controllers (InvenSense MPU-6050, Bosch BMI160, ST LSM6DSL series). A standard 3-axis MEMS gyroscope chip typically measures up to ±2,000 deg/s full-scale (FSR) with programmable lower-range settings of ±250 / ±500 / ±1,000 deg/s for better noise floor at slower rates.
About Revolutions per minute (RPM)
A rotational-speed unit counting complete 360° turns per minute (1 RPM = 2π/60 rad/s ≈ 0.1047 rad/s = 6°/s). RPM is the dominant everyday rotational-speed unit on tachometers, motor nameplates, and machinery specifications. Reference values: automotive engine idle 700-900 RPM, redline 6,000-9,000 RPM for naturally-aspirated gasoline cars (Honda S2000 F20C 9,000 RPM, Lexus LFA 1LR-GUE 9,500 RPM, F1 V10 engines pre-2014 18,000-20,000 RPM); turbomachinery (steam turbines 3,000 RPM for 50 Hz grid-synchronous / 3,600 RPM for 60 Hz grid; modern aeroderivative gas-turbine 3,600-9,500 RPM depending on shaft); machine tools (typical CNC milling spindle 8,000-24,000 RPM, high-speed machining 30,000-60,000 RPM); hard-disk-drive spindles 5,400 / 7,200 / 10,000 / 15,000 RPM (the last in enterprise SAS drives); ceiling fans 200-300 RPM; washing-machine spin cycles 800-1,600 RPM. Converting RPM to rad/s (multiply by π/30 ≈ 0.1047) is routine for rotor-dynamic analysis and FEA.
Quick Facts
- 1 Degree per second equals 0.166667 Revolutions per minute
- 1 Revolutions per minute equals 6 Degrees per second
- Degree per second is a unit of angular velocity
- Revolutions per minute is a unit of angular velocity
- This conversion is commonly used in motor specifications, rotating machinery, and mechanical design
Common Degree per second to Revolutions per minute Conversions
| Degrees per second (deg/s) | Revolutions per minute (RPM) |
|---|---|
| 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
The Degree per second (symbol: deg/s) is a unit of angular velocity. Angular velocity expressed in degrees rotated per second (1 deg/s = π/180 rad/s ≈ 0.01745 rad/s = 1/6 RPM). Deg/s is the standard reporting unit in aviation and aerospace for rotational rates: aircraft yaw / pitch / roll body-rate gyros per ARINC 429 inertial-reference unit data buses, missile guidance systems (typical airframe-rate limits 100-400 deg/s for fighter aircraft, up to 1,000 deg/s for short-range AAMs), satellite attitude-control system (ACS) reaction-wheel and CMG rates per AIAA standards, and the default unit on consumer-grade IMU (inertial measurement unit) datasheets and drone flight controllers (InvenSense MPU-6050, Bosch BMI160, ST LSM6DSL series). A standard 3-axis MEMS gyroscope chip typically measures up to ±2,000 deg/s full-scale (FSR) with programmable lower-range settings of ±250 / ±500 / ±1,000 deg/s for better noise floor at slower rates.
Degrees per second are commonly used in motor specifications, rotating machinery, and mechanical design.
Understanding Revolutions per minute
The Revolutions per minute (symbol: RPM) is a unit of angular velocity. A rotational-speed unit counting complete 360° turns per minute (1 RPM = 2π/60 rad/s ≈ 0.1047 rad/s = 6°/s). RPM is the dominant everyday rotational-speed unit on tachometers, motor nameplates, and machinery specifications. Reference values: automotive engine idle 700-900 RPM, redline 6,000-9,000 RPM for naturally-aspirated gasoline cars (Honda S2000 F20C 9,000 RPM, Lexus LFA 1LR-GUE 9,500 RPM, F1 V10 engines pre-2014 18,000-20,000 RPM); turbomachinery (steam turbines 3,000 RPM for 50 Hz grid-synchronous / 3,600 RPM for 60 Hz grid; modern aeroderivative gas-turbine 3,600-9,500 RPM depending on shaft); machine tools (typical CNC milling spindle 8,000-24,000 RPM, high-speed machining 30,000-60,000 RPM); hard-disk-drive spindles 5,400 / 7,200 / 10,000 / 15,000 RPM (the last in enterprise SAS drives); ceiling fans 200-300 RPM; washing-machine spin cycles 800-1,600 RPM. Converting RPM to rad/s (multiply by π/30 ≈ 0.1047) is routine for rotor-dynamic analysis and FEA.
Revolutions per minute are commonly used in motor specifications, rotating machinery, and mechanical design.
Why Convert Degrees per second to Revolutions per minute?
Converting between Degrees per second and Revolutions per minute is a frequent requirement for engineers, scientists, and students working with angular velocity 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 velocity conversion is essential.
Frequently Asked Questions
How do I convert Degrees per second to Revolutions per minute?
Angular velocity expressed in degrees rotated per second (1 deg/s = π/180 rad/s ≈ 0. To convert Degrees per second to Revolutions per minute, multiply by 0.166667. For example, 25 deg/s equals 4.16667 RPM.
How many Revolutions per minute are in 1 Degree per second?
There are 0.166667 Revolutions per minute in 1 Degree per second.
How many Degrees per second are in 1 Revolutions per minute?
There are 6 Degrees per second in 1 Revolutions per minute.
What is the formula for Degree per second to Revolutions per minute conversion?
The formula is: multiply by 0.166667. This means 1 deg/s = 0.166667 RPM.
Is a Degree per second bigger than a Revolutions per minute?
Yes. One Degree per second is larger than one Revolutions per minute because 1 deg/s equals 0.166667 RPM, which is less than 1.
When do you need to convert between Degrees per second and Revolutions per minute?
A rotational-speed unit counting complete 360° turns per minute (1 RPM = 2π/60 rad/s ≈ 0. Degree per second and Revolutions per minute are both angular velocity 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.