Elara BennettDisclosure: This post contains affiliate links, which means we may earn a commission if you purchase through our links at no extra cost to you.
The result of converting 1200 rpm to radians per second is approximately 125.66 rad/sec.
Since 1 revolution per minute (rpm) equals 2π/60 radians per second, multiplying 1200 rpm by this factor gives the radian value. This conversion accounts for how many radians are in a full turn and how many seconds are in a minute, translating the rotational speed into radians per second.
Conversion Result
1200 rpm equals approximately 125.66 radians per second.
Conversion Tool
Result in rad:
Conversion Formula
The conversion from rpm to rad involves multiplying the number of revolutions per minute by 2π (the radians in a full turn) and dividing by 60 (seconds in a minute). The formula is: radians/sec = rpm * (2π / 60). This works because each revolution contains 2π radians, and there are 60 seconds in a minute, converting rpm to rad/sec.
For example, converting 60 rpm to rad/sec: 60 * (2π / 60) = 2π rad/sec ≈ 6.2832 rad/sec. This shows how many radians are covered per second when rotating at that rpm, by scaling revolutions to radians and adjusting for time.
Conversion Example
- Convert 600 rpm:
- Multiply 600 by 2π: 600 * 6.2832 ≈ 3769.91
- Divide by 60: 3769.91 / 60 ≈ 62.83 rad/sec
- Convert 1500 rpm:
- Multiply 1500 by 2π: 1500 * 6.2832 ≈ 9424.78
- Divide by 60: 9424.78 / 60 ≈ 157.08 rad/sec
- Convert 300 rpm:
- Multiply 300 by 2π: 300 * 6.2832 ≈ 1884.96
- Divide by 60: 1884.96 / 60 ≈ 31.41 rad/sec
- Convert 900 rpm:
- Multiply 900 by 2π: 900 * 6.2832 ≈ 5654.87
- Divide by 60: 5654.87 / 60 ≈ 94.25 rad/sec
- Convert 100 rpm:
- Multiply 100 by 2π: 100 * 6.2832 ≈ 628.32
- Divide by 60: 628.32 / 60 ≈ 10.47 rad/sec
Conversion Chart
This chart displays values from 1175 rpm to 1225 rpm converted into radians per second, showing how the values increase gradually. To read it, find your rpm value in the first column, then look across to see the corresponding radian value.
| rpm | Radians/sec |
|---|---|
| 1175.0 | 122.83 |
| 1176.0 | 123.14 |
| 1177.0 | 123.45 |
| 1178.0 | 123.76 |
| 1179.0 | 124.07 |
| 1180.0 | 124.38 |
| 1181.0 | 124.69 |
| 1182.0 | 125.00 |
| 1183.0 | 125.31 |
| 1184.0 | 125.62 |
| 1185.0 | 125.93 |
| 1186.0 | 126.24 |
| 1187.0 | 126.55 |
| 1188.0 | 126.86 |
| 1189.0 | 127.17 |
| 1190.0 | 127.48 |
| 1191.0 | 127.79 |
| 1192.0 | 128.10 |
| 1193.0 | 128.41 |
| 1194.0 | 128.72 |
| 1195.0 | 129.03 |
| 1196.0 | 129.34 |
| 1197.0 | 129.65 |
| 1198.0 | 129.96 |
| 1199.0 | 130.27 |
| 1200.0 | 130.59 |
| 1201.0 | 130.90 |
| 1202.0 | 131.21 |
| 1203.0 | 131.52 |
| 1204.0 | 131.83 |
| 1205.0 | 132.14 |
| 1206.0 | 132.45 |
| 1207.0 | 132.76 |
| 1208.0 | 133.07 |
| 1209.0 | 133.38 |
| 1210.0 | 133.69 |
| 1211.0 | 134.00 |
| 1212.0 | 134.31 |
| 1213.0 | 134.62 |
| 1214.0 | 134.93 |
| 1215.0 | 135.24 |
| 1216.0 | 135.55 |
| 1217.0 | 135.86 |
| 1218.0 | 136.17 |
| 1219.0 | 136.48 |
| 1220.0 | 136.79 |
| 1221.0 | 137.10 |
| 1222.0 | 137.41 |
| 1223.0 | 137.72 |
| 1224.0 | 138.03 |
| 1225.0 | 138.34 |
Related Conversion Questions
- How many radians per second is 1200 rpm?
- What is the radian equivalent of 1200 rpm?
- Convert 1200 rpm to radians per second in decimal form?
- How do I convert revolutions per minute to radians?
- What is the formula to change rpm into rad/sec for 1200 rpm?
- Is 1200 rpm equal to about 125.66 rad/sec?
- How many radians are in 1200 rpm?
Conversion Definitions
rpm
Revolutions per minute (rpm) measures how many complete turns an object makes in one minute, used in engines and machinery to indicate rotational speed. It counts the number of full rotations completed within 60 seconds.
rad
Rad (radian) is a unit of angular measurement representing the angle subtended at the center of a circle by an arc equal in length to the radius. It provides a natural way to measure angles based on the circle’s properties, where 2π radians equal one full turn.
Conversion FAQs
How do I convert rpm to radians per second manually?
Multiply the rpm value by 2π to get radians per minute, then divide by 60 to convert to radians per second. For example, 1200 rpm: 1200 * 2π = 7540.78; divided by 60 gives approximately 125.68 rad/sec.
Can I use a calculator to get the conversion quickly?
Yes, input the rpm value into a calculator and multiply by 2π, then divide by 60. Many scientific calculators or online tools can perform this calculation instantly, saving time and reducing errors.
Why is 2π used in the conversion formula?
Because a full revolution equals 2π radians, using 2π converts revolutions into radians. This is fundamental in angular calculations, linking linear rotation measures to radians, which simplifies many physics and engineering formulas.
