1200 rpm equals approximately 125.66 radians per second. This conversion shows how rotational speed in revolutions per minute relates to radians per second, an angular measure. In detail, 1200 rpm converts to about 125.66 rad/sec, useful for physics and engineering applications.
Converting 1200 rpm to rad involves understanding that 1 revolution equals 2π radians, and there are 60 seconds in a minute. So, to convert rpm to rad/sec, multiply the rpm value by 2π and divide by 60. This way, you get the angular velocity in radians per second, which is a standard measure in rotational motion.
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 there are 60 seconds in a minute, making the conversion from revolutions per minute to radians per second straightforward. For example, for 1200 rpm:
- Multiply 1200 by 2π: 1200 * 6.2832 ≈ 7539.82
- Divide by 60: 7539.82 / 60 ≈ 125.66 rad/sec
Conversion Example
- Convert 900 rpm:
- Step 1: 900 * 2π ≈ 5654.87
- Step 2: 5654.87 / 60 ≈ 94.25 rad/sec
- Convert 1500 rpm:
- Step 1: 1500 * 2π ≈ 9437.76
- Step 2: 9437.76 / 60 ≈ 157.30 rad/sec
- Convert 1800 rpm:
- Step 1: 1800 * 2π ≈ 11309.73
- Step 2: 11309.73 / 60 ≈ 188.50 rad/sec
- Convert 600 rpm:
- Step 1: 600 * 2π ≈ 3769.91
- Step 2: 3769.91 / 60 ≈ 62.83 rad/sec
Conversion Chart
| rpm | radians/sec |
|---|---|
| 1175.0 | 123.13 |
| 1176.0 | 123.24 |
| 1177.0 | 123.35 |
| 1178.0 | 123.46 |
| 1179.0 | 123.57 |
| 1180.0 | 123.68 |
| 1181.0 | 123.79 |
| 1182.0 | 123.90 |
| 1183.0 | 124.01 |
| 1184.0 | 124.12 |
| 1185.0 | 124.23 |
| 1186.0 | 124.34 |
| 1187.0 | 124.45 |
| 1188.0 | 124.56 |
| 1189.0 | 124.67 |
| 1190.0 | 124.78 |
| 1191.0 | 124.89 |
| 1192.0 | 125.00 |
| 1193.0 | 125.11 |
| 1194.0 | 125.22 |
| 1195.0 | 125.33 |
| 1196.0 | 125.44 |
| 1197.0 | 125.55 |
| 1198.0 | 125.66 |
| 1199.0 | 125.77 |
| 1200.0 | 125.89 |
| 1201.0 | 126.00 |
| 1202.0 | 126.11 |
| 1203.0 | 126.22 |
| 1204.0 | 126.33 |
| 1205.0 | 126.44 |
| 1206.0 | 126.55 |
| 1207.0 | 126.66 |
| 1208.0 | 126.77 |
| 1209.0 | 126.88 |
| 1210.0 | 126.99 |
| 1211.0 | 127.10 |
| 1212.0 | 127.21 |
| 1213.0 | 127.32 |
| 1214.0 | 127.43 |
| 1215.0 | 127.54 |
| 1216.0 | 127.65 |
| 1217.0 | 127.76 |
| 1218.0 | 127.87 |
| 1219.0 | 127.98 |
| 1220.0 | 128.09 |
| 1221.0 | 128.20 |
| 1222.0 | 128.31 |
| 1223.0 | 128.42 |
| 1224.0 | 128.53 |
| 1225.0 | 128.64 |
This chart helps see the relationship between rpm and radians/sec for values close to 1200 rpm, making it easier to estimate or verify conversions quickly.
Related Conversion Questions
- What is 1200 rpm in radians per second and how does it compare to other rotational speeds?
- How do I convert 1200 rpm to radians per second manually?
- What is the rad/sec equivalent of 1200 rpm in a motor’s speed?
- Can I use this conversion for calculating angular velocity in physics experiments with 1200 rpm?
- How does 1200 rpm translate to angular displacement per second in radians?
- What are the steps to convert rpm to radians per second for 1200 rpm?
Conversion Definitions
rpm
Revolutions per minute (rpm) measures how many full turns an object makes in one minute. It is used to describe the rotational speed of engines, motors, and other rotating devices, indicating how fast they spin relative to time.
rad
Radians (rad) are units of angular measure, where one radian equals the angle at the center of a circle subtended by an arc equal in length to the radius. It provides a precise way to describe rotation in mathematical and physical contexts.
Conversion FAQs
How do I convert 1200 rpm to radians per second?
To convert 1200 rpm to radians per second, multiply the rpm value by 2π and divide by 60. This accounts for the number of radians in a revolution and the seconds in a minute, giving you the angular velocity in rad/sec.
What formula do I use for rpm to rad/sec?
The formula is: radians/sec = (rpm * 2π) / 60. It directly relates the revolutions per minute to radians per second, based on the circle’s properties and time conversion.
Why do we divide by 60 in the conversion?
Because rpm measures revolutions per minute, dividing by 60 converts minutes to seconds, enabling calculation of angular velocity in radians per second, which is per second, not per minute.
Can I convert other rpm values using this method?
Yes, any rpm value can be converted to radians per second using the same formula, making this method universally applicable to rotational speed conversions.