The result of converting 2 rpm to radians per second is approximately 0.2094 radians/sec.
To convert revolutions per minute (rpm) to radians per second (rad/sec), multiply the rpm value by 2π (since one revolution equals 2π radians), then divide by 60 (since there are 60 seconds in a minute). This converts the rotational speed from revolutions per minute to radians per second, which measures angular velocity in SI units.
Conversion Result
Result in rad:
Conversion Formula
The formula to convert rpm to rad/sec is: radians per second = (rpm) × 2π / 60. This works because one revolution equals 2π radians, and there are 60 seconds in a minute. By multiplying rpm by 2π, you get radians per minute, then dividing by 60 converts it to radians per second. For example, 2 rpm: (2 × 2π) / 60 = 0.2094 rad/sec.
Conversion Example
- Convert 5 rpm:
- Multiply 5 by 2π: 5 × 6.2832 = 31.416 rad/min
- Divide by 60: 31.416 / 60 = 0.5236 rad/sec
- Result: 0.5236 rad/sec
- Convert 10 rpm:
- 10 × 2π = 62.832 rad/min
- 62.832 / 60 = 1.0472 rad/sec
- Result: 1.0472 rad/sec
- Convert 15 rpm:
- 15 × 2π = 94.248 rad/min
- 94.248 / 60 = 1.5708 rad/sec
- Result: 1.5708 rad/sec
Conversion Chart
| rpm | rad/sec |
|---|---|
| -23.0 | -2.4138 |
| -22.0 | -2.3034 |
| -21.0 | -2.1930 |
| -20.0 | -2.0826 |
| -19.0 | -1.9722 |
| -18.0 | -1.8618 |
| -17.0 | -1.7514 |
| -16.0 | -1.6410 |
| -15.0 | -1.5306 |
| -14.0 | -1.4202 |
| -13.0 | -1.3098 |
| -12.0 | -1.1994 |
| -11.0 | -1.0890 |
| -10.0 | -0.9786 |
| -9.0 | -0.8682 |
| -8.0 | -0.7578 |
| -7.0 | -0.6474 |
| -6.0 | -0.5370 |
| -5.0 | -0.4266 |
| -4.0 | -0.3162 |
| -3.0 | -0.2058 |
| -2.0 | -0.0954 |
| -1.0 | -0.0157 |
| 0.0 | 0.0 |
| 1.0 | 0.1047 |
| 2.0 | 0.2094 |
| 3.0 | 0.3142 |
| 4.0 | 0.4189 |
| 5.0 | 0.5236 |
| 6.0 | 0.6283 |
| 7.0 | 0.7330 |
| 8.0 | 0.8378 |
| 9.0 | 0.9425 |
| 10.0 | 1.0472 |
| 11.0 | 1.1519 |
| 12.0 | 1.2566 |
| 13.0 | 1.3614 |
| 14.0 | 1.4661 |
| 15.0 | 1.5708 |
| 16.0 | 1.6755 |
| 17.0 | 1.7803 |
| 18.0 | 1.8850 |
| 19.0 | 1.9897 |
| 20.0 | 2.0944 |
| 21.0 | 2.1992 |
| 22.0 | 2.3039 |
| 23.0 | 2.4086 |
| 24.0 | 2.5133 |
| 25.0 | 2.6180 |
| 26.0 | 2.7228 |
| 27.0 | 2.8275 |
Use this chart to quickly find the rad/sec equivalent for rpm values between -23 and 27, the values are rounded for simplicity.
Related Conversion Questions
- What is the rad/sec equivalent of 2 rpm?
- How many radians per second is 2 rpm?
- Can you convert 2 rpm to radians in a simple way?
- What is the angular velocity in radians/sec for 2 rpm?
- How do I change 2 rpm to radians per second?
- Is 2 rpm equal to approximately 0.21 radians/sec?
- What formula converts 2 rpm to radians/sec?
Conversion Definitions
rpm
Revolutions per minute (rpm) measures how many complete turns an object makes in one minute, with one revolution being 2π radians. It is used to describe rotational speeds in machinery, engines, and rotating parts, providing a standard for comparing speeds.
rad
Rad, short for radians, is a unit for measuring angles based on the radius of a circle. One radian equals the angle created when the arc length equals the radius. It offers a natural way to measure angles in mathematics and physics, especially in rotational calculations.
Conversion FAQs
Why do I need to convert rpm to radians per second?
Converting rpm to radians per second allows for more precise calculations in engineering, physics, and mathematics, especially when dealing with angular velocities in formulas requiring SI units, facilitating consistent and accurate analysis of rotational motion.
Can I convert rpm to rad/sec manually?
Yes, by multiplying the rpm value by 2π and then dividing by 60, you can manually convert rpm to radians/sec. For example, 2 rpm: (2× 2π) / 60 equals approximately 0.2094 rad/sec. This straightforward method ensures correct calculations without tools.
What does a higher rpm number mean in radians?
Higher rpm indicates faster rotation, which translates to a larger rad/sec value. For example, 10 rpm equals about 1.0472 rad/sec, showing increased angular velocity compared to lower rpm values, signifying quicker rotational motion in radians per second.
Is the conversion accurate for all rpm values?
Yes, the formula (rpm × 2π / 60) is accurate for all rpm values; it simply scales the revolutions per minute into radians per second, assuming constant rotational speed without variation or acceleration.