Calculating the conversion from radians per second (rad/s) to revolutions per minute (rev/min) is crucial in various engineering and physics applications. The formula for the conversion is:
rev/min = (rad/s) * (60 / 2π)
The conversion is useful in understanding the following:
For quick reference, the following tables provide conversions for common angular velocity values:
rad/s | rev/min |
---|---|
1 | 9.55 |
2π | 60 |
4π | 120 |
6π | 180 |
8π | 240 |
Table 1: Conversion from rad/s to rev/min
rev/min | rad/s |
---|---|
10 | 1.05 |
20 | 2.10 |
30 | 3.14 |
40 | 4.19 |
50 | 5.24 |
Table 2: Conversion from rev/min to rad/s
To convert rad/s to rev/min, follow these steps:
Example: Convert an angular velocity of 5 rad/s to rev/min.
rev/min = (5 rad/s) * (60 / 2π) = 75 rev/min
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