2 rpm equals approximately 0.2094 radians per second.
To convert revolutions per minute (rpm) to radians, multiply the rpm value by 2π divided by 60, since there are 2π radians in one revolution and 60 seconds in a minute. So, 2 rpm * (2π / 60) yields the radian value per second.
Conversion Result
The conversion of 2 rpm to rad is 0.2094 rad.
Conversion Tool
Result in rad:
Conversion Formula
To convert rpm to rad/sec, the formula is: rad/sec = rpm * (2π / 60). This works because each revolution is 2π radians, and there are 60 seconds in a minute. Multiplying rpm by this factor transforms revolutions per minute into radians per second. For example, converting 2 rpm:
- Start with 2 rpm.
- Multiply 2 by 2π (~6.2832): 2 * 6.2832 = 12.5664.
- Divide 12.5664 by 60: 12.5664 / 60 = 0.2094 rad/sec.
Conversion Example
Suppose we want to convert 5 rpm to radians:
- Step 1: Write down 5 rpm.
- Step 2: Multiply 5 by 2π (~6.2832): 5 * 6.2832 = 31.416.
- Step 3: Divide 31.416 by 60: 31.416 / 60 = 0.5236 rad/sec.
- This means 5 rpm is equivalent to approximately 0.5236 radians per second.
Conversion Chart
This chart shows various rpm values from -23.0 to 27.0 and their radian equivalents. To read, find the rpm value in the first column and look across to see the corresponding radian value. Use it for quick reference when doing conversions manually.
| rpm | rad/sec |
|---|---|
| -23.0 | -2.4176 |
| -22.0 | -2.3124 |
| -21.0 | -2.2072 |
| -20.0 | -2.1020 |
| -19.0 | -1.9968 |
| -18.0 | -1.8916 |
| -17.0 | -1.7864 |
| -16.0 | -1.6812 |
| -15.0 | -1.5760 |
| -14.0 | -1.4708 |
| -13.0 | -1.3656 |
| -12.0 | -1.2604 |
| -11.0 | -1.1552 |
| -10.0 | -1.0500 |
| -9.0 | -0.9448 |
| -8.0 | -0.8396 |
| -7.0 | -0.7344 |
| -6.0 | -0.6292 |
| -5.0 | -0.5240 |
| -4.0 | -0.4188 |
| -3.0 | -0.3136 |
| -2.0 | -0.2084 |
| -1.0 | -0.1032 |
| 0.0 | 0.0000 |
| 1.0 | 0.1032 |
| 2.0 | 0.2084 |
| 3.0 | 0.3136 |
| 4.0 | 0.4188 |
| 5.0 | 0.5240 |
| 6.0 | 0.6292 |
| 7.0 | 0.7344 |
| 8.0 | 0.8396 |
| 9.0 | 0.9448 |
| 10.0 | 1.0500 |
| 11.0 | 1.1552 |
| 12.0 | 1.2604 |
| 13.0 | 1.3656 |
| 14.0 | 1.4708 |
| 15.0 | 1.5760 |
| 16.0 | 1.6812 |
| 17.0 | 1.7864 |
| 18.0 | 1.8916 |
| 19.0 | 1.9968 |
| 20.0 | 2.1020 |
| 21.0 | 2.2072 |
| 22.0 | 2.3124 |
| 23.0 | 2.4176 |
| 24.0 | 2.5228 |
| 25.0 | 2.6280 |
| 26.0 | 2.7332 |
| 27.0 | 2.8384 |
Related Conversion Questions
- How many radians are in 2 rpm?
- What is the radian equivalent of 2 revolutions per minute?
- Convert 2 rpm to radians per second and explain the process?
- Is 2 rpm the same as a certain number of radians per second?
- How do I find radians when given rpm, specifically for 2 rpm?
- What is the formula to convert rpm to radians for 2 rpm?
- How many radians does a motor spinning at 2 rpm produce per second?
Conversion Definitions
rpm, rotations per minute, measures how many complete turns an object makes in one minute. It is used to describe rotational speed of engines, wheels, and machinery, indicating how fast something spins in terms of revolutions per minute.
rad, radians, is a unit of angular measurement conveying the angle created by an arc length equal to the radius. One radian equals about 57.2958 degrees, and it is used in math and physics to quantify angles and rotational movements precisely.
Conversion FAQs
How accurate is the conversion of 2 rpm to radians?
The conversion is highly accurate as it relies on the constant 2π, representing the full revolution in radians, and dividing by 60 seconds per minute. Minor differences may occur due to decimal approximations of π, but the formula itself is mathematically precise.
Can I convert any rpm value to radians using the same formula?
Yes, the same formula applies for all rpm values: radians per second = rpm * (2π / 60). This works universally, regardless of whether the rpm is high or low, positive or negative, making it a flexible tool for various rotational speeds.
Why is the divisor 60 in the formula?
The number 60 converts minutes into seconds, because rpm is revolutions per minute, and radians per second require seconds in the denominator. Dividing by 60 ensures the units are correctly aligned, transforming the speed into radians per second.
What happens if I input a negative rpm value?
A negative rpm indicates rotational direction, but the calculation still produces a negative radian value, representing the opposite rotational direction. The magnitude remains the same, but the sign indicates the rotation’s sense.