2 rpm is approximately 0.2094 radians per second
When converting 2 revolutions per minute (rpm) to radians, the result is roughly 0.2094 radians. This shows how many radians are covered in one second at that rpm rate. Since rpm measures revolutions per minute, we need to convert minutes to seconds and revolutions to radians.
Introduction
Revolutions per minute (rpm) measures how many complete turns an object makes in a minute. Radians are the standard unit for angles, with one revolution being equal to 2π radians. To convert rpm to radians, we must relate revolutions to radians and seconds to minutes. This involves multiplying by 2π to get radians per revolution and dividing by 60 to convert minutes to seconds.
Conversion Tool
Result in rad:
Conversion Formula
The formula for converting rpm to radians per second is: radians/second = (rpm) * 2π / 60. It works because one revolution equals 2π radians, and there are 60 seconds in a minute. By multiplying rpm by 2π, we get radians per minute, then dividing by 60 gives radians per second. For example, for 2 rpm: (2 * 2π) / 60 = 0.2094 rad/sec.
Conversion Example
- Converting 5 rpm:
- Multiply 5 by 2π: 5 * 6.2832 = 31.416 rad/min
- Divide 31.416 by 60: 31.416 / 60 = 0.5236 rad/sec
- Converting 10 rpm:
- 10 * 2π = 62.832 rad/min
- 62.832 / 60 = 1.0472 rad/sec
- Converting 15 rpm:
- 15 * 2π = 94.248 rad/min
- 94.248 / 60 = 1.5708 rad/sec
- Converting 20 rpm:
- 20 * 2π = 125.664 rad/min
- 125.664 / 60 = 2.0944 rad/sec
Conversion Chart
| rpm | Rad/sec |
|---|---|
| -23.0 | -2.4146 |
| -22.0 | -2.3101 |
| -21.0 | -2.2056 |
| -20.0 | -2.1011 |
| -19.0 | -1.9966 |
| -18.0 | -1.8921 |
| -17.0 | -1.7876 |
| -16.0 | -1.6831 |
| -15.0 | -1.5785 |
| -14.0 | -1.4740 |
| -13.0 | -1.3695 |
| -12.0 | -1.2650 |
| -11.0 | -1.1605 |
| -10.0 | -1.0560 |
| -9.0 | -0.9515 |
| -8.0 | -0.8470 |
| -7.0 | -0.7425 |
| -6.0 | -0.6380 |
| -5.0 | -0.5335 |
| -4.0 | -0.4290 |
| -3.0 | -0.3245 |
| -2.0 | -0.2200 |
| -1.0 | -0.1155 |
| 0.0 | 0.0 |
| 1.0 | 0.1155 |
| 2.0 | 0.2200 |
| 3.0 | 0.3245 |
| 4.0 | 0.4290 |
| 5.0 | 0.5335 |
| 6.0 | 0.6380 |
| 7.0 | 0.7425 |
| 8.0 | 0.8470 |
| 9.0 | 0.9515 |
| 10.0 | 1.0560 |
| 11.0 | 1.1605 |
| 12.0 | 1.2650 |
| 13.0 | 1.3695 |
| 14.0 | 1.4740 |
| 15.0 | 1.5785 |
| 16.0 | 1.6831 |
| 17.0 | 1.7876 |
| 18.0 | 1.8921 |
| 19.0 | 1.9966 |
| 20.0 | 2.1011 |
| 21.0 | 2.2056 |
| 22.0 | 2.3101 |
| 23.0 | 2.4146 |
| 24.0 | 2.5191 |
| 25.0 | 2.6236 |
| 26.0 | 2.7281 |
| 27.0 | 2.8326 |
Use this chart to quickly find the rad/sec equivalent for any rpm value between -23 and 27. Just locate your rpm value in the first column and read across to see the rad/sec value.
Related Conversion Questions
- How many radians per second are in 2 rpm?
- What is the radian equivalent for 2 revolutions per minute?
- How do I convert 2 rpm to angular velocity in radians per second?
- What is 2 rpm in terms of radians?
- Can I quickly convert 2 rpm to radians without a calculator?
- What is the radians per second for 2 rpm?
- How do revolutions per minute relate to radians per second for 2 rpm?
Conversion Definitions
rpm
Revolutions per minute (rpm) measures how many complete turns an object makes in one minute, used to indicate rotational speed. It is a unit that shows the frequency of rotation, with higher rpm means faster spinning rate.
rad
Rad, short for radians, is a unit for measuring angles based on the ratio of the arc length to the radius. One full revolution equals 2π radians, making it a natural measure for angles in mathematics and physics.
Conversion FAQs
What is the formula to convert rpm to radians per second?
The formula is: radians/second = (rpm) * 2π / 60. This converts revolutions per minute into radians per second by multiplying by 2π for radians in one revolution, then dividing by 60 to get per second.
Why do we divide by 60 in the conversion process?
Dividing by 60 accounts for the number of seconds in a minute, converting the rate from per minute to per second. Since rpm measures revolutions per minute, dividing by 60 ensures the angular velocity is expressed in radians per second.
Can I use this conversion for any rpm value?
Yes, the formula applies to any rpm value. Just multiply the rpm by 2π and divide by 60, regardless of whether the rpm is positive, negative, or zero, to find the angular velocity in radians per second.
What does a negative rpm indicate in radians?
A negative rpm indicates rotation in the opposite direction. When converted to radians per second, the negative sign shows the counter-clockwise or clockwise rotation depending on the convention used.