The conversion of 1200 rpm to radians per second results in approximately 125.66 rad/sec.
To convert revolutions per minute (rpm) to radians per second (rad/sec), we multiply the rpm value by 2π and divide by 60. Since one revolution equals 2π radians and there are 60 seconds in a minute, this formula converts the rotational speed from rpm to rad/sec.
Conversion Result
1200 rpm is equal to 125.66 radians per second.
Conversion Tool
Result in rad:
Conversion Formula
The formula to convert rpm to rad/sec is: rad/sec = rpm * 2π / 60. This works because each revolution contains 2π radians, and dividing by 60 converts minutes to seconds. 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
Suppose you want to convert 1500 rpm to rad/sec:
- Step 1: Multiply 1500 by 2π: 1500 * 6.2832 ≈ 9424.78
- Step 2: Divide by 60: 9424.78 / 60 ≈ 157.08 rad/sec
Thus, 1500 rpm equals approximately 157.08 rad/sec.
Conversion Chart
| rpm | radians/sec (rad/sec) |
|---|---|
| 1175.0 | 122.94 |
| 1176.0 | 123.07 |
| 1177.0 | 123.20 |
| 1178.0 | 123.33 |
| 1179.0 | 123.46 |
| 1180.0 | 123.59 |
| 1181.0 | 123.72 |
| 1182.0 | 123.85 |
| 1183.0 | 123.98 |
| 1184.0 | 124.11 |
| 1185.0 | 124.24 |
| 1186.0 | 124.37 |
| 1187.0 | 124.50 |
| 1188.0 | 124.63 |
| 1189.0 | 124.76 |
| 1190.0 | 124.89 |
| 1191.0 | 125.02 |
| 1192.0 | 125.15 |
| 1193.0 | 125.28 |
| 1194.0 | 125.41 |
| 1195.0 | 125.54 |
| 1196.0 | 125.67 |
| 1197.0 | 125.80 |
| 1198.0 | 125.93 |
| 1199.0 | 126.06 |
| 1200.0 | 125.66 |
| 1201.0 | 125.79 |
| 1202.0 | 125.92 |
| 1203.0 | 126.05 |
| 1204.0 | 126.18 |
| 1205.0 | 126.31 |
| 1206.0 | 126.44 |
| 1207.0 | 126.57 |
| 1208.0 | 126.70 |
| 1209.0 | 126.83 |
| 1210.0 | 126.96 |
| 1211.0 | 127.09 |
| 1212.0 | 127.22 |
| 1213.0 | 127.35 |
| 1214.0 | 127.48 |
| 1215.0 | 127.61 |
| 1216.0 | 127.74 |
| 1217.0 | 127.87 |
| 1218.0 | 128.00 |
| 1219.0 | 128.13 |
| 1220.0 | 128.26 |
| 1221.0 | 128.39 |
| 1222.0 | 128.52 |
| 1223.0 | 128.65 |
| 1224.0 | 128.78 |
| 1225.0 | 128.91 |
Use this chart to quickly find the rad/sec value for rpm values between 1175 and 1225 by reading across the table.
Related Conversion Questions
- How many radians per second is 1200 rpm?
- What is the equivalent of 1200 rpm in radians per second?
- How do I convert 1200 rpm to rad/sec manually?
- What is the rad/sec value if a motor spins at 1200 rpm?
- Convert 1200 rpm to radians per second step-by-step?
- Is 125.66 rad/sec the correct conversion for 1200 rpm?
- How does changing rpm affect radians per second in calculations?
Conversion Definitions
rpm
Revolutions per minute (rpm) measures how many complete turns an object makes in one minute, often used to describe rotational speeds of engines and machinery. It shows the frequency of rotation, with higher rpm indicating faster spinning.
rad
Radians (rad) are a measure of angle based on the radius of a circle, with one full revolution equal to 2π radians. They provide a way to quantify rotations and angular distances in mathematical and physical contexts.
Conversion FAQs
What is the significance of converting rpm to rad/sec?
This conversion helps relate rotational speed to angular displacement in radians, which is essential for physics calculations, engineering designs, and understanding how fast a rotating object is turning in terms of its angular velocity.
Can I convert rpm to rad/sec using a calculator?
Yes, simply multiply the rpm value by 2π and divide by 60. Many calculators can perform this directly, but understanding the formula helps verify the correctness of the result.
What if my rpm value is not a whole number?
The conversion still applies, just use the decimal value in the formula. The result will be a decimal rad/sec, which can be rounded as needed for precision.