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Degree/s to Revolution/min Converter

Enter the value that you want to convert degree/s (°/s) to revolution/min (rpm) or revolution/min to degree/s.Also written as °/S to RPM conversion.

1 degree/s = 0.1666663 revolution/min

Formula: revolution/min = degree/s value × 0.1666663

°/S to RPM — degree/s to revolution/min

°/s
1.66666rpm

10 degree/s = 1.66666 revolution/min

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Degree/s to Revolution/min: The Essentials

About the Degree/s

Degree/s (°/s) is a unit of angular velocity measurement. 1 degree/s is equal to 0.1666663 revolution/min.

About the Revolution/min

Revolution/min (rpm) is a unit of angular velocity measurement. 1 revolution/min is equal to 6.0000115 degree/s.

degree/s to revolution/min metric conversion table

0.01 °/s=0.00167 rpm
0.1 °/s=0.01667 rpm
1 °/s=0.16667 rpm
2 °/s=0.33333 rpm
3 °/s=0.50000 rpm
4 °/s=0.66667 rpm
5 °/s=0.83333 rpm
6 °/s=1.00000 rpm
7 °/s=1.16666 rpm
8 °/s=1.33333 rpm
9 °/s=1.50000 rpm
10 °/s=1.66666 rpm
11 °/s=1.83333 rpm
12 °/s=2.00000 rpm
13 °/s=2.16666 rpm
14 °/s=2.33333 rpm
15 °/s=2.50000 rpm
16 °/s=2.66666 rpm
17 °/s=2.83333 rpm
18 °/s=2.99999 rpm
19 °/s=3.16666 rpm
20 °/s=3.33333 rpm
30 °/s=4.99999 rpm
40 °/s=6.66665 rpm
50 °/s=8.33332 rpm
60 °/s=9.99998 rpm
70 °/s=11.66664 rpm
80 °/s=13.33331 rpm
90 °/s=14.99997 rpm
100 °/s=16.66663 rpm
200 °/s=33.33327 rpm
300 °/s=49.99990 rpm
400 °/s=66.66654 rpm
500 °/s=83.33317 rpm
600 °/s=99.99981 rpm
700 °/s=116.66644 rpm
800 °/s=133.33308 rpm
900 °/s=149.99971 rpm
1000 °/s=166.66635 rpm

How to Convert °/S to RPM (Degree/s to Revolution/min)?

We can convert degree/s to revolution/min by using an example.

Example:

Convert 20 Degree/s to Revolution/min?

We know 1 Degree/s = 0.1666663 revolution/min; 1 Revolution/min = 6.0000115 degree/s.

20 degree/s = ___rpm

20 × 0.1666663 = 3.33333 rpm (we know 1 degree/s = 0.1666663 revolution/min)

Answer:

20 degree/s = 3.33333 revolution/min

Degrees per Second to RPM: From Rotation Rate to Motor Speed

Converting degrees per second to revolutions per minute connects the world of angular measurement (used in sensors, navigation, and physics) with motor specifications. Since one revolution is 360° and one minute is 60 seconds, the conversion factor is 60/360 = 1/6 ≈ 0.16667.

  1. Start with the angular velocity in degrees per second (°/s).
  2. Divide by 360 to convert degrees to revolutions (giving rev/s).
  3. Multiply by 60 to convert seconds to minutes.
  4. Or simply multiply by 0.16667 (which equals 60 ÷ 360 = 1/6).
💡 Tip: Since the conversion factor is exactly 1/6, you can divide by 6 for a quick mental estimate. 360°/s is exactly 60 RPM (one revolution per second), which makes a great sanity check.

°/s to RPM Conversion Chart

Rotation rates from sensors and instruments converted to RPM for motor matching:

Degree/sRevolution/min
6°/s1 RPM
30°/s5 RPM
90°/s15 RPM
180°/s30 RPM
360°/s60 RPM
720°/s120 RPM
1,800°/s300 RPM
3,600°/s600 RPM

Worked Examples: °/s to RPM

Question 1: A surveillance camera pans at 45°/s. What motor RPM is needed?

Solution:

RPM = °/s × 0.16667

= 45 × 0.16667

= 7.5 RPM

Answer: 45°/s = 7.5 RPM — a very slow gearmotor is sufficient.

Question 2: A reaction wheel on a satellite spins up at 2,400°/s. Convert to RPM.

Solution:

RPM = °/s × 0.16667

= 2,400 × 0.16667

= 400 RPM

Answer: 2,400°/s = 400 RPM — moderate speed for a spacecraft reaction wheel.

Question 3: A drone has a maximum yaw rate of 800°/s. What RPM does this equal?

Solution:

RPM = °/s × 0.16667

= 800 × 0.16667

= 133.33 RPM

Answer: 800°/s = 133.33 RPM — a fast rotation rate for a multirotor.

Practice: °/s to RPM

Try solving these on your own to test your understanding:

  1. Convert 120°/s to RPM. (Answer: 20 RPM)
  2. A wheel rotates at 540°/s. What is that in RPM? (Answer: 90 RPM)
  3. Convert 1,080°/s to RPM. (Answer: 180 RPM)
  4. A gyroscope reads 15°/s. Express in RPM. (Answer: 2.5 RPM)
  5. Convert 4,500°/s to RPM. (Answer: 750 RPM)

Selecting Motors Based on Required Rotation Rate

If a design requirement specifies rotation in °/s (common in optics, robotics, and tracking systems), convert to RPM before browsing motor catalogs. Most motor vendors specify no-load speed in RPM. Add 20-30% headroom above your required RPM to account for load. For the camera pan example (7.5 RPM), a 10-15 RPM gearmotor gives adequate margin.

Angular Velocity in Navigation and Heading Rate

In marine and aviation navigation, heading rate is given in °/s. A standard rate turn in aviation is 3°/s (0.5 RPM), completing a full 360° turn in exactly 2 minutes. Ships typically turn at 1-2°/s. Navigation autopilots limit turn rate to prevent passenger discomfort while converting heading commands to rudder or aileron angles based on the °/s feedback from gyros.

Key Takeaways

  • Multiply °/s by 1/6 (0.16667) to get RPM.
  • 360°/s = 60 RPM = 1 revolution per second.
  • Aviation standard rate turn: 3°/s = 0.5 RPM = 360° in 2 minutes.
  • Convert °/s to RPM when selecting motors from vendor catalogs.
  • For quick estimation, divide °/s by 6.

Degree/s to Revolution/min Conversion Formula

revolution/min = degree/s × 0.1666663

1 degree/s = 0.1666663 revolution/min

1 revolution/min = 6.0000115 degree/s

Reverse: degree/s = revolution/min × 6.0000115

Frequently Asked Questions

How many revolution/min are in 1 degree/s?

There are 0.1666663 revolution/min in 1 degree/s. To convert degree/s to revolution/min, multiply the value by 0.1666663.

How do I convert degree/s to revolution/min?

Multiply your degree/s value by 0.1666663 to get the equivalent in revolution/min. For example, 5 degree/s = 5 × 0.1666663 = 0.83333 revolution/min.

How do I convert revolution/min to degree/s?

Multiply your revolution/min value by 6.0000115 to get the equivalent in degree/s. Alternatively, divide by 0.1666663.

What is 10 degree/s in revolution/min?

10 degree/s is equal to 1.66666 revolution/min.

What is 100 degree/s in revolution/min?

100 degree/s is equal to 16.66663 revolution/min.