RPM to Radian Per Second Calculator
RPM to Radian Per Second Calculator
This Revolutions Per Minute (RPM) to Radians Per Second (rad/s) converter uses parameters like rotational speed input, conversion constant (2Ï€), and time unit adjustment to convert rotational measurements and analyze angular velocities.
How to Convert RPM to Rads?
- Take the RPM value
- Multiply it by 2Ï€ to convert revolutions to radians
- Divide by 60 to convert from minutes to seconds
Think of it like this: a car’s wheel spinning at 1,200 RPM. To convert this:
- First, multiply 1,200 by 2π (≈ 6.283)
- Then divide by 60 seconds
- Result: 125.66 radians per second
RPM to Rad/s Conversion Chart
| RPM Converted to | Radians/Second (rad/s) |
|---|---|
| 1 | 0.1047 |
| 2 | 0.2094 |
| 3 | 0.3142 |
| 4 | 0.4189 |
| 5 | 0.5236 |
| 6 | 0.6283 |
| 7 | 0.7330 |
| 8 | 0.8378 |
| 9 | 0.9425 |
| 10 | 1.0472 |
| 11 | 1.1519 |
| 12 | 1.2566 |
| 13 | 1.3614 |
| 14 | 1.4661 |
| 15 | 1.5708 |
| 16 | 1.6755 |
| 17 | 1.7802 |
| 18 | 1.8850 |
| 19 | 1.9897 |
| 20 | 2.0944 |
| 21 | 2.1991 |
| 22 | 2.3038 |
| 23 | 2.4086 |
| 24 | 2.5133 |
| 25 | 2.6180 |
| 26 | 2.7227 |
| 27 | 2.8274 |
| 28 | 2.9322 |
| 29 | 3.0369 |
| 30 | 3.1416 |
| 31 | 3.2463 |
| 32 | 3.3510 |
| 33 | 3.4558 |
| 34 | 3.5605 |
| 35 | 3.6652 |
| 36 | 3.7699 |
| 37 | 3.8746 |
| 38 | 3.9794 |
| 39 | 4.0841 |
| 40 | 4.1888 |
| 41 | 4.2935 |
| 42 | 4.3982 |
| 43 | 4.5030 |
| 44 | 4.6077 |
| 45 | 4.7124 |
| 46 | 4.8171 |
| 47 | 4.9218 |
| 48 | 5.0265 |
| 49 | 5.1313 |
| 50 | 5.2360 |
| 55 | 5.7596 |
| 60 | 6.2832 |
| 65 | 6.8068 |
| 70 | 7.3304 |
| 75 | 7.8540 |
| 80 | 8.3776 |
| 85 | 8.9012 |
| 90 | 9.4248 |
| 95 | 9.9484 |
| 100 | 10.4720 |
| 110 | 11.5192 |
| 120 | 12.5664 |
| 130 | 13.6136 |
| 140 | 14.6608 |
| 150 | 15.7080 |
| 160 | 16.7552 |
| 170 | 17.8024 |
| 180 | 18.8496 |
| 190 | 19.8968 |
| 200 | 20.9440 |
| 300 | 31.4160 |
| 400 | 41.8880 |
| 500 | 52.3600 |
| 600 | 62.8320 |
| 700 | 73.3040 |
| 800 | 83.7760 |
| 900 | 94.2480 |
| 1000 | 104.7200 |
| 1100 | 115.1920 |
| 1200 | 125.6640 |
| 1300 | 136.1360 |
| 1400 | 146.6080 |
| 1500 | 157.0800 |
| 1600 | 167.5520 |
| 1700 | 178.0240 |
| 1800 | 188.4960 |
| 1900 | 198.9680 |
| 2000 | 209.4400 |
| 2100 | 219.9120 |
| 2200 | 230.3840 |
| 2300 | 240.8560 |
| 2400 | 251.3280 |
| 2500 | 261.8000 |
| 2600 | 272.2720 |
| 2700 | 282.7440 |
| 2800 | 293.2160 |
| 2900 | 303.6880 |
| 3000 | 314.1600 |
Revolutions per Minute to Radians per Second Conversion Formula
The formula for this conversion is:
ω (rad/s) = (2π × RPM) ÷ 60Where:
- ω represents angular velocity in radians per second
- π is approximately 3.14159
- RPM is the rotational speed in revolutions per minute
With converting 500 RPM. Using our formula, we multiply 500 by 2Ï€, giving us 3141.59, then divide by 60. This calculation yields approximately 52.36 rad/s.
We’ll convert 1,800 RPM. Multiplying 1,800 by 2Ï€ results in 11,309.73, and after dividing by 60, we get 188.50 rad/s.
Let’s convert a higher value of 7,200 RPM. When we multiply 7,200 by 2Ï€, we get 45,238.93, and dividing this by 60 gives us 753.98 rad/s.
What is RPM and Radian Per Second?
RPM (Revolutions Per Minute) represents the number of complete rotations an object makes around a fixed axis in one minute. It’s commonly used in machinery specifications, vehicle engines, and industrial equipment.
Radian Per Second (rad/s) is the SI unit for angular velocity, measuring how quickly an object rotates in terms of radians covered per second. One radian is the angle subtended at the center of a circle by an arc equal in length to the radius, approximately 57.2958 degrees.
References:
NASA Technical Reports Server – Angular Velocity Measurements https://ntrs.nasa.gov/citations/19680015650