1200 rpm is approximately 125.66 radians per second
When converting 1200 revolutions per minute (rpm) to radians per second (rad/sec), the result is about 125.66 rad/sec. This means that an object rotating at 1200 rpm completes roughly 125.66 radians every second.
To convert rpm to rad/sec, we recognize that one revolution equals 2π radians, and there are 60 seconds in a minute. Therefore, multiplying rpm by 2π and dividing by 60 gives the radians per second. For 1200 rpm, the calculation becomes: (1200 * 2π) / 60, which simplifies to 125.66 rad/sec.
Conversion Tool
Result in rad:
Conversion Formula
The formula to convert revolutions per minute (rpm) to radians per second (rad/sec) is: (rpm * 2π) / 60. This works because each revolution equals 2π radians, and there are 60 seconds in a minute, converting the per-minute rate to per-second.
For example, if you have 1200 rpm, multiplying by 2π gives the radians per minute, then dividing by 60 converts it to radians per second: (1200 * 2π) / 60 = 125.66 rad/sec. This approach ensures an accurate conversion between the units.
Conversion Example
- Convert 600 rpm:
- Multiply 600 by 2π: 600 * 6.2832 = 3769.91 radians per minute.
- Divide by 60: 3769.91 / 60 = 62.83 rad/sec.
- Result: 600 rpm equals approximately 62.83 rad/sec.
- Convert 1500 rpm:
- Multiply 1500 by 2π: 1500 * 6.2832 = 9424.78 radians per minute.
- Divide by 60: 9424.78 / 60 = 157.08 rad/sec.
- Result: 1500 rpm equals about 157.08 rad/sec.
- Convert 300 rpm:
- Multiply 300 by 2π: 300 * 6.2832 = 1884.96 radians per minute.
- Divide by 60: 1884.96 / 60 = 31.42 rad/sec.
- Result: 300 rpm is roughly 31.42 rad/sec.
Conversion Chart
| rpm | radians/sec |
|---|---|
| 1175.0 | 122.94 |
| 1176.0 | 123.22 |
| 1177.0 | 123.50 |
| 1178.0 | 123.78 |
| 1179.0 | 124.07 |
| 1180.0 | 124.35 |
| 1181.0 | 124.63 |
| 1182.0 | 124.91 |
| 1183.0 | 125.20 |
| 1184.0 | 125.48 |
| 1185.0 | 125.76 |
| 1186.0 | 126.04 |
| 1187.0 | 126.33 |
| 1188.0 | 126.61 |
| 1189.0 | 126.89 |
| 1190.0 | 127.17 |
| 1191.0 | 127.45 |
| 1192.0 | 127.74 |
| 1193.0 | 128.02 |
| 1194.0 | 128.30 |
| 1195.0 | 128.58 |
| 1196.0 | 128.87 |
| 1197.0 | 129.15 |
| 1198.0 | 129.43 |
| 1199.0 | 129.71 |
| 1200.0 | 125.66 |
| 1201.0 | 125.94 |
| 1202.0 | 126.22 |
| 1203.0 | 126.50 |
| 1204.0 | 126.79 |
| 1205.0 | 127.07 |
| 1206.0 | 127.35 |
| 1207.0 | 127.63 |
| 1208.0 | 127.91 |
| 1209.0 | 128.20 |
| 1210.0 | 128.48 |
| 1211.0 | 128.76 |
| 1212.0 | 129.04 |
| 1213.0 | 129.33 |
| 1214.0 | 129.61 |
| 1215.0 | 129.89 |
| 1216.0 | 130.17 |
| 1217.0 | 130.45 |
| 1218.0 | 130.74 |
| 1219.0 | 131.02 |
| 1220.0 | 131.30 |
| 1221.0 | 131.58 |
| 1222.0 | 131.86 |
| 1223.0 | 132.15 |
| 1224.0 | 132.43 |
| 1225.0 | 132.71 |
This chart helps quickly find rad/sec values for given rpm values, useful in engineering and physics calculations where precise measurements are needed.
Related Conversion Questions
- How many radians per second is 1200 rpm?
- What is the rad/sec equivalent of 1200 rpm?
- Convert 1200 rpm to radians per second, how do I do it?
- Is 1200 rpm equal to about 125.66 radians/sec?
- How do I calculate rad/sec from rpm at 1200 rpm?
- What formula should I use to convert 1200 rpm into radians per second?
- What is the rad/sec value for a motor spinning at 1200 rpm?
Conversion Definitions
rpm
Revolutions per minute (rpm) is a unit measuring how many complete turns an object makes in one minute, used to describe rotational speed in machines, engines, and turbines, indicating how fast something spins or rotates.
rad
Radians (rad) are a unit of angular measure representing the angle created when the arc length equals the radius; in rotation, radians measure how far an object turns around a circle, with one full revolution equal to 2π radians.
Conversion FAQs
How accurate is the conversion from rpm to rad/sec?
The conversion is precise as long as the formula (rpm * 2π) / 60 is correctly applied. Minor discrepancies may occur due to rounding during calculations, but for most practical purposes, the result is highly accurate.
Can I convert any rpm value to rad/sec using this method?
Yes, the same formula applies universally. Just replace the rpm value with your specific number, and the calculation will give you the correct radians per second measurement.
Why do we divide by 60 in the formula?
Dividing by 60 converts per-minute measurements into per-second measurements because there are 60 seconds in a minute, ensuring the units are compatible when calculating radians per second.
Is there a shortcut to convert rpm to rad/sec without calculations?
Using the conversion tool or chart simplifies the process, avoiding manual math. For quick estimates, multiplying rpm by approximately 0.10472 gives radians per second directly.