2 rpm is approximately equal to 0.2094 radians per second.
The conversion from rpm (revolutions per minute) to radians involves changing revolutions into radians and minutes into seconds. Since one revolution equals 2π radians, and there are 60 seconds in a minute, the calculation multiplies rpm by 2π and divides by 60 to get radians per second.
Conversion Result
Converting 2 rpm to radians gives approximately 0.2094 rad/sec.
Conversion Tool
Result in rad:
Conversion Formula
The formula to convert rpm to rad is: radians per second = rpm * (2π) / 60. This works because each revolution has 2π radians, and there are 60 seconds in a minute. Multiplying rpm by 2π converts revolutions into radians, then dividing by 60 adjusts for the seconds per minute.
For example, at 2 rpm: 2 * 2π / 60 = 4π / 60 = (4 * 3.1416) / 60 ≈ 12.5664 / 60 ≈ 0.2094 rad/sec.
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
- Divide by 60: 62.832 / 60 ≈ 1.0472 rad/sec
- Convert 15 rpm:
- 15 * 6.2832 = 94.248
- Divide by 60: 94.248 / 60 ≈ 1.5708 rad/sec
- Convert 0.5 rpm:
- 0.5 * 6.2832 = 3.1416
- Divide by 60: 3.1416 / 60 ≈ 0.05236 rad/sec
Conversion Chart
| rpm | rad/sec |
|---|---|
| -23.0 | -2.4080 |
| -21.0 | -2.1993 |
| -19.0 | -1.9906 |
| -17.0 | -1.7819 |
| -15.0 | -1.5732 |
| -13.0 | -1.3645 |
| -11.0 | -1.1558 |
| -9.0 | -0.9471 |
| -7.0 | -0.7384 |
| -5.0 | -0.5296 |
| -3.0 | -0.3209 |
| -1.0 | -0.1122 |
| 1.0 | 0.1122 |
| 3.0 | 0.3209 |
| 5.0 | 0.5296 |
| 7.0 | 0.7384 |
| 9.0 | 0.9471 |
| 11.0 | 1.1558 |
| 13.0 | 1.3645 |
| 15.0 | 1.5732 |
| 17.0 | 1.7819 |
| 19.0 | 1.9906 |
| 21.0 | 2.1993 |
| 23.0 | 2.4080 |
| 25.0 | 2.6167 |
| 27.0 | 2.8254 |
Use this chart to quickly find the rad/sec value for any rpm in the range from -23.0 to 27.0, by matching your rpm to the corresponding rad/sec.
Related Conversion Questions
- What is the rad/sec equivalent of 2 rpm?
- How many radians per second is 2 rpm?
- Convert 2 rpm to radians, what is the answer?
- Is 2 rpm equal to about 0.2094 radians per second?
- How do I convert 2 rpm into radians?
- What is the formula to change rpm to rad/sec for 2 rpm?
- Can you tell me the rad/sec value for 2 rpm?
Conversion Definitions
rpm
Revolutions per minute (rpm) measures how many times an object completes a full rotation in one minute, used in machinery and engines to indicate rotational speed, and is a common unit in engineering for describing how fast something spins.
rad
Rad, short for radians, measures angles in a way that one full circle equals 2π radians, used in mathematics and physics to describe rotational quantities including angular displacement, velocity, and acceleration.
Conversion FAQs
Why does converting rpm to radians matter in mechanical systems?
Converting rpm to radians helps precisely analyze rotational motion, calculate angular velocities, and understand system dynamics better, especially in physics and engineering where radians are standard for angular measurements.
How accurate is the conversion from rpm to rad/sec?
The conversion is very accurate because it relies on the exact mathematical relationship between revolutions and radians, with minimal rounding errors when using standard π approximations, suitable for most practical applications.
Can I convert any rpm value to radians per second?
Yes, any rpm value can be converted to radians per second using the formula rpm * (2π) / 60, which applies universally across all rotational speeds, regardless of the magnitude.