How do you convert rev/s to rad/sec?

To convert revolutions per second (rev/s) to radians per second (rad/sec), you can use a simple relationship between these two units. Since one complete revolution is equal to \(2\pi\) radians, the conversion can be done using the following formula:

Conversion Formula

If you have a value in rev/s, multiply it by \(2\pi\) to get the value in rad/sec:

rad/sec = rev/s × 2π

Example Calculation

For instance, if you have a speed of 3 rev/s, the conversion would look like this:

• 3 rev/s × \(2\pi\) = 3 × 6.2832 ≈ 18.85 rad/sec

Summary

In summary, to convert from rev/s to rad/sec, simply multiply the number of revolutions per second by \(2\pi\). This will give you the angular velocity in radians per second.