2 rpm is approximately equal to 0.2094 radians.
This conversion is based on the fact that one revolution per minute (rpm) equals 2π radians per minute. So, to convert rpm to radians, multiply the rpm value by 2π. For 2 rpm, multiply 2 by 2π, resulting in 4π radians per minute, which is roughly 0.2094 radians.
Conversion Result and Explanation
When converting 2 rpm to radians, the key is understanding that a full revolution is 2π radians. Since rpm measures how many revolutions occur in a minute, multiplying rpm by 2π gives the radians per minute. For 2 rpm, that’s 2 × 2π = 4π, which is about 12.5664 radians per minute. To get the value in radians for a specific time frame, adjust accordingly, but here, the focus is on the rate per minute.
Conversion Tool
Result in rad:
Conversion Formula
The formula to convert revolutions per minute (rpm) to radians per minute is: radians = rpm × 2π. This works because one revolution equals 2π radians. Multiplying rpm by 2π converts the revolutions into radians, giving the total radians covered per minute. For example, at 2 rpm: 2 × 2π = 4π radians, or approximately 12.5664 radians.
Conversion Example
- Convert 5 rpm to radians:
- Multiply 5 by 2π: 5 × 2π = 10π radians.
- 10π ≈ 31.4159 radians.
- This means 5 rpm equals roughly 31.4159 radians per minute.
- Convert 0.5 rpm to radians:
- Multiply 0.5 by 2π: 0.5 × 2π = π radians.
- π ≈ 3.1416 radians.
- So, 0.5 rpm is about 3.1416 radians per minute.
- Convert 10 rpm to radians:
- Multiply 10 by 2π: 10 × 2π = 20π radians.
- 20π ≈ 62.8319 radians.
- Thus, 10 rpm equals roughly 62.8319 radians per minute.
Conversion Chart
| rpm | rad |
|---|---|
| -23.0 | -144.5130 |
| -22.0 | -138.2304 |
| -21.0 | -131.9478 |
| -20.0 | -125.6652 |
| -19.0 | -119.3826 |
| -18.0 | -113.1000 |
| -17.0 | -106.8174 |
| -16.0 | -100.5348 |
| -15.0 | -94.2523 |
| -14.0 | -87.9697 |
| -13.0 | -81.6871 |
| -12.0 | -75.4045 |
| -11.0 | -69.1219 |
| -10.0 | -62.8393 |
| -9.0 | -56.5567 |
| -8.0 | -50.2741 |
| -7.0 | -43.9916 |
| -6.0 | -37.7090 |
| -5.0 | -31.4264 |
| -4.0 | -25.1438 |
| -3.0 | -18.8612 |
| -2.0 | -12.5784 |
| -1.0 | -6.2957 |
| 0.0 | 0.0 |
| 1.0 | 6.2832 |
| 2.0 | 12.5664 |
| 3.0 | 18.8496 |
| 4.0 | 25.1327 |
| 5.0 | 31.4159 |
| 6.0 | 37.6991 |
| 7.0 | 43.9823 |
| 8.0 | 50.2655 |
| 9.0 | 56.5487 |
| 10.0 | 62.8319 |
| 15.0 | 94.2478 |
| 20.0 | 125.6637 |
| 25.0 | 157.0796 |
| 27.0 | 169.646 |
Use this chart to find radians corresponding to rpm values between -23.0 and 27.0. Just locate the rpm value in the first column and read the equivalent radians in the second. It helps to quickly estimate conversions without calculations.
Related Conversion Questions
- What is the radians equivalent of 2 rpm over a 10-second interval?
- How many radians are covered in 2 rpm in one minute?
- If a motor spins at 2 rpm, what is its angular velocity in radians per second?
- Can I convert 2 rpm to radians per hour for long-term rotational analysis?
- What is the conversion from 2 rpm to radians per day?
- How do I convert 2 rpm to radians per second for physics calculations?
- What is the angular displacement in radians after rotating at 2 rpm for 5 minutes?
Conversion Definitions
rpm
Revolutions per minute (rpm) measures how many full turns an object completes in one minute, indicating rotational speed. It is used to describe how fast a wheel, motor, or engine spins, with higher rpm meaning faster rotation.
rad
Radian (rad) measures angles based on the radius of a circle. One radian is the angle where the arc length equals the radius, making it a natural unit for angular measurements, especially in mathematics and physics involving circular motion.
Conversion FAQs
What is the radian equivalent of 2 rpm in seconds?
To find radians per second from rpm, divide the radians per minute by 60. For 2 rpm, which is 4π radians per minute, dividing by 60 gives approximately 0.2094 radians per second, showing how fast an object spins in a second.
How do I convert rpm to radians per hour?
Multiply rpm by 2π to get radians per minute, then multiply the result by 60 to get radians per hour. For example, 2 rpm × 2π = 4π radians per minute, then 4π × 60 = 240π radians per hour, which is about 753.98 radians.
Why does multiplying rpm by 2π give radians?
Because one revolution equals 2π radians, multiplying rpm (revolutions per minute) by 2π converts the number of revolutions into radians. This is a direct relationship based on the circle’s circumference, making the conversion straightforward.