The conversion of 1800 rpm to radians per second results in approximately 188.50 radians/sec.
This calculation is based on converting revolutions per minute to radians per second by multiplying the rpm value by 2π and then dividing by 60 seconds. Since 1 revolution equals 2π radians, the formula accounts for this to determine the angular displacement in radians per second.
Conversion Result
1800 rpm equals about 188.50 radians/sec when converted properly.
Conversion Tool
Result in rad:
Conversion Formula
The formula used to convert rpm to radians per second is: radians/sec = rpm * 2π / 60. It works because each revolution is 2π radians, so multiplying rpm by 2π converts revolutions to radians, and dividing by 60 adjusts for seconds per minute.
For example, if rpm is 1800, then: 1800 * 2π / 60 = (1800 / 60) * 2π = 30 * 6.2832 ≈ 188.50 radians/sec.
Conversion Example
- Convert 1500 rpm:
- Divide rpm by 60: 1500 / 60 = 25
- Multiply by 2π: 25 * 6.2832 ≈ 157.08 radians/sec
- Convert 1200 rpm:
- 1200 / 60 = 20
- 20 * 6.2832 ≈ 125.66 radians/sec
- Convert 2000 rpm:
- 2000 / 60 ≈ 33.33
- 33.33 * 6.2832 ≈ 209.44 radians/sec
- Convert 900 rpm:
- 900 / 60 = 15
- 15 * 6.2832 ≈ 94.25 radians/sec
Conversion Chart
| RPM | Radians/sec |
|---|---|
| 1775.0 | 185.76 |
| 1780.0 | 186.01 |
| 1785.0 | 186.26 |
| 1790.0 | 186.52 |
| 1795.0 | 186.77 |
| 1800.0 | 188.50 |
| 1805.0 | 188.76 |
| 1810.0 | 189.01 |
| 1815.0 | 189.27 |
| 1820.0 | 189.52 |
| 1825.0 | 189.78 |
This chart helps to quickly see the radians/sec equivalent for RPM values between 1775 and 1825.
Related Conversion Questions
- How many radians per second is 1800 rpm?
- What is the radians equivalent of 1800 rpm?
- How do I convert 1800 rpm to angular velocity in radians?
- What is the rad/sec value for 1800 rpm?
- Can I convert 1800 rpm to radians per second using a calculator?
- What formula converts rpm to rad/sec for 1800 rpm?
- How many radians per second does 1800 rpm represent?
Conversion Definitions
rpm
Revolutions per minute (rpm) measures how many full turns an object makes in a minute, used to describe rotational speeds in machinery, engines, and turbines. It indicates how fast something spins, with higher rpm meaning faster rotation.
rad
Radians (rad) are units of angular measurement representing the angle created when the arc length equals the radius. One full circle is 2π radians, used to quantify rotational displacement in mathematical and physical contexts.
Conversion FAQs
Why is 2π used in the rpm to rad/sec conversion formula?
Because a full revolution equals 2π radians, multiplying rpm by 2π converts revolutions into radians. Dividing by 60 seconds adjusts for the time measure, giving the angular velocity in radians per second.
What happens if I input a negative rpm value in the converter?
Negative rpm indicates reverse rotation. The converter will output a negative rad/sec value, representing the direction of rotation, but for magnitude, absolute value is usually considered.
Is the conversion valid for all rotational speeds?
Yes, the formula applies to any rpm value. The conversion is linear, so regardless of how fast or slow an object spins, multiplying rpm by 2π and dividing by 60 yields radians/sec accurately.
Can I convert radians/sec back to rpm?
Absolutely. To reverse, multiply radians/sec by 60 and divide by 2π. This will give the rpm value corresponding to the given angular velocity in radians/sec.
Does the conversion change with different units of time?
Yes, if using units other than seconds (like minutes or hours), the formula must be adjusted accordingly to match the time units used.