Samantha Nicole2 rpm is approximately 0.2094 radians per second.
Converting 2 revolutions per minute (rpm) to radians involves understanding that one revolution is equal to 2π radians. Since rpm measures how many full turns happen each minute, to find rad/sec, we convert rpm to rad/sec by multiplying with 2π and dividing by 60 seconds. So, 2 rpm equals (2 × 2π) / 60 = 0.2094 rad/sec.
What is the conversion from rpm to rad?
The conversion from rpm to rad involves multiplying the rpm value by 2π to get radians per minute, then dividing by 60 to change minutes into seconds. This process works because a full rotation is 2π radians, and there are 60 seconds in a minute. For example, converting 2 rpm: (2 × 2π) / 60 = 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 each revolution is 2π radians, and since rpm counts revolutions per minute, dividing by 60 converts minutes to seconds. 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
- 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 15 rpm:
- 15 × 6.2832 = 94.248
- 94.248 / 60 = 1.5708 rad/sec
- Convert 25 rpm:
- 25 × 6.2832 = 157.08
- 157.08 / 60 = 2.618 rad/sec
Conversion Chart
| rpm | rad/sec |
|---|---|
| -23.0 | -2.4083 |
| -22.0 | -2.3034 |
| -21.0 | -2.1985 |
| -20.0 | -2.0937 |
| -19.0 | -1.9888 |
| -18.0 | -1.8839 |
| -17.0 | -1.7790 |
| -16.0 | -1.6742 |
| -15.0 | -1.5693 |
| -14.0 | -1.4644 |
| -13.0 | -1.3596 |
| -12.0 | -1.2547 |
| -11.0 | -1.1498 |
| -10.0 | -1.0450 |
| -9.0 | -0.9401 |
| -8.0 | -0.8352 |
| -7.0 | -0.7304 |
| -6.0 | -0.6255 |
| -5.0 | -0.5206 |
| -4.0 | -0.4158 |
| -3.0 | -0.3109 |
| -2.0 | -0.2060 |
| -1.0 | -0.1012 |
| 0.0 | 0.0000 |
| 1.0 | 0.1012 |
| 2.0 | 0.2060 |
| 3.0 | 0.3109 |
| 4.0 | 0.4158 |
| 5.0 | 0.5206 |
| 6.0 | 0.6255 |
| 7.0 | 0.7304 |
| 8.0 | 0.8352 |
| 9.0 | 0.9401 |
| 10.0 | 1.0450 |
| 11.0 | 1.1498 |
| 12.0 | 1.2547 |
| 13.0 | 1.3596 |
| 14.0 | 1.4644 |
| 15.0 | 1.5693 |
| 16.0 | 1.6742 |
| 17.0 | 1.7790 |
| 18.0 | 1.8839 |
| 19.0 | 1.9888 |
| 20.0 | 2.0937 |
| 21.0 | 2.1985 |
| 22.0 | 2.3034 |
| 23.0 | 2.4083 |
| 24.0 | 2.5132 |
| 25.0 | 2.6180 |
| 26.0 | 2.7229 |
| 27.0 | 2.8278 |
Use this chart to quickly see the rad/sec equivalent of rpm values between -23 and 27. Simply find your rpm number in the first column, then read across to find the corresponding rad/sec.
Related Conversion Questions
- How many radians per second are in 2 rpm?
- What is the rad/sec equivalent of 2 revolutions per minute?
- Convert 2 rpm to radians per second for a motor speed?
- How do I change 2 rpm into radians per second?
- What is the rad/sec value for 2 rpm?
- Is 2 rpm equal to about 0.21 radians per second?
- How many radians per second in 2 rpm motor rotation?
Conversion Definitions
rpm
Revolutions per minute (rpm) measures how many complete turns an object makes each minute, used frequently in engines and machinery to indicate rotational speed. It counts full rotations, not fractions, in a given time frame of 60 seconds.
rad
Radians (rad) are a unit of angular measurement representing the ratio of an arc length to its radius. One full circle is 2π radians, making radians a natural way to describe angles in mathematics and physics, especially in rotation and oscillation calculations.
Conversion FAQs
How does changing rpm affect the rad/sec value?
Increasing rpm directly increases rad/sec because the conversion multiplies rpm by 2π and divides by 60. A higher rpm means a faster rotation, resulting in a larger rad/sec measure, indicating quicker angular velocity.
Can I convert any rpm value to rad/sec using the same formula?
Yes, the same formula applies for all rpm values: radians per second = (rpm × 2π) / 60. It works universally because it stems from the definition that one revolution equals 2π radians, and the conversion accounts for time change from minutes to seconds.
Why do we divide by 60 in the conversion?
Dividing by 60 converts minutes into seconds because rpm counts revolutions per minute, but rad/sec measures radians per second. The division ensures the units align correctly, transforming the time base from minutes to seconds.
