Table of Contents
2 rpm equals approximately 0.2094 radians per second.
Since 1 revolution per minute (rpm) is 2π radians divided by 60 seconds, converting 2 rpm involves multiplying 2 by 2π and then dividing by 60. This results in the angular speed in radians per second, which measures how fast an object rotates in terms of radians over time.
Conversion Result
2 rpm in radians: 0.2094 rad/sec
Conversion Tool
Result in rad:
Conversion Formula
The formula to convert rpm to rad/sec is: radians per second = rpm * (2π) / 60. This works because one full rotation is 2π radians, and rpm measures how many rotations happen in a minute. Dividing by 60 converts minutes to seconds, giving the rad/sec.
For example, converting 2 rpm: 2 * (2π) / 60 = 4π / 60 = (4 * 3.1416) / 60 ≈ 12.5664 / 60 ≈ 0.2094 rad/sec. This step-by-step shows how the conversion factors work together to change rpm into radians per second.
Conversion Example
- Convert 5 rpm:
- Multiply 5 by 2π: 5 * 6.2832 = 31.416
- Divide by 60: 31.416 / 60 = 0.5236 rad/sec
- Convert 10 rpm:
- 10 * 6.2832 = 62.832
- 62.832 / 60 = 1.0472 rad/sec
- Convert 0.5 rpm:
- 0.5 * 6.2832 = 3.1416
- 3.1416 / 60 = 0.0524 rad/sec
Conversion Chart
This table shows how different rpm values translate into radians per second. Reading across a row gives you the rad/sec equivalent of a particular rpm. Use this to quickly find conversions without recalculating each time.
| rpm | radians/sec |
|---|---|
| -23.0 | -7.6232 |
| -22.0 | -7.2908 |
| -21.0 | -6.9584 |
| -20.0 | -6.6260 |
| -19.0 | -6.2936 |
| -18.0 | -5.9612 |
| -17.0 | -5.6288 |
| -16.0 | -5.2964 |
| -15.0 | -4.9640 |
| -14.0 | -4.6316 |
| -13.0 | -4.2992 |
| -12.0 | -3.9668 |
| -11.0 | -3.6344 |
| -10.0 | -3.3020 |
| -9.0 | -2.9696 |
| -8.0 | -2.6372 |
| -7.0 | -2.3048 |
| -6.0 | -1.9724 |
| -5.0 | -1.6400 |
| -4.0 | -1.3076 |
| -3.0 | -0.9752 |
| -2.0 | -0.6428 |
| -1.0 | -0.3104 |
| 0.0 | 0.0 |
| 1.0 | 0.0524 |
| 2.0 | 0.1047 |
| 3.0 | 0.1570 |
| 4.0 | 0.2094 |
| 5.0 | 0.2618 |
| 6.0 | 0.3142 |
| 7.0 | 0.3665 |
| 8.0 | 0.4189 |
| 9.0 | 0.4712 |
| 10.0 | 0.5236 |
| 11.0 | 0.5759 |
| 12.0 | 0.6283 |
| 13.0 | 0.6807 |
| 14.0 | 0.7330 |
| 15.0 | 0.7854 |
| 16.0 | 0.8378 |
| 17.0 | 0.8901 |
| 18.0 | 0.9425 |
| 19.0 | 0.9948 |
| 20.0 | 1.0472 |
| 21.0 | 1.0996 |
| 22.0 | 1.1519 |
| 23.0 | 1.2043 |
| 24.0 | 1.2566 |
| 25.0 | 1.3090 |
| 26.0 | 1.3614 |
| 27.0 | 1.4137 |
Related Conversion Questions
- How many radians per second is 2 rpm?
- What is the radian equivalent of 2 rpm?
- Convert 2 revolutions per minute to radians per second?
- How do I change 2 rpm into rad/sec?
- What is the rad/sec value for a 2 rpm rotation?
- Is 2 rpm equal to about 0.2094 radians per second?
- How can I convert rpm to radians for 2 rpm specifically?
Conversion Definitions
rpm
Revolutions per minute (rpm) measures how many complete turns an object makes in one minute. It captures rotational speed, with higher rpm indicating faster spinning. Used in motors, engines, and machinery to denote their rotational velocity.
rad
Radians (rad) are a way to measure angles based on the radius of a circle. One radian is the angle when the arc length equals the radius. It’s a natural unit in mathematics and physics for describing rotation, with 2π radians corresponding to a full circle.
Conversion FAQs
Why do I need to convert rpm to rad/sec?
Converting rpm to rad/sec allows for more precise calculations in physics and engineering, especially when dealing with rotational dynamics, angular velocity, or when working with formulas that require radians per second as input.
How accurate is the conversion from rpm to radians?
The conversion is exact mathematically, relying on the constant 2π. The only approximation occurs in decimal form of π, so results are highly precise but may have minor rounding errors depending on the number of decimal places used.
Can I convert any rpm value to radians per second?
Yes, the formula works for any rpm value. Just multiply the rpm by 2π and divide by 60 to get the radians per second. This universal approach applies across all rotational speeds, regardless of the magnitude.