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The formula to calculate RPM from Radians per Second (rad/s) is:
\[ \text{RPM} = \text{rad/s} \times 9.5493 \]
Where:
Radians per Second (rad/s) is a unit of angular velocity, representing the angle in radians through which a point or line has rotated in one second. Revolutions per Minute (RPM) is a unit of frequency, representing the number of full rotations completed in one minute. The conversion from Radians per Second to RPM is straightforward: multiply the frequency in Radians per Second by 9.5493.
Let's assume the following value:
Using the formula:
\[ \text{RPM} = 10 \times 9.5493 \]
\[ \text{RPM} = 95.493 \]
The Frequency (RPM) is 95.493 RPM.
| Frequency (rad/s) | Frequency (RPM) |
|---|---|
| 0.1 | 0.954930000000 |
| 0.2 | 1.909860000000 |
| 0.3 | 2.864790000000 |
| 0.4 | 3.819720000000 |
| 0.5 | 4.774650000000 |
| 0.6 | 5.729580000000 |
| 0.7 | 6.684510000000 |
| 0.8 | 7.639440000000 |
| 0.9 | 8.594370000000 |
| 1 | 9.549300000000 |
| 1.1 | 10.504230000000 |
| 1.2 | 11.459160000000 |
| 1.3 | 12.414090000000 |
| 1.4 | 13.369020000000 |
| 1.5 | 14.323950000000 |
| 1.6 | 15.278880000000 |
| 1.7 | 16.233810000000 |
| 1.8 | 17.188740000000 |
| 1.9 | 18.143670000000 |
| 2 | 19.098600000000 |
| 2.1 | 20.053530000000 |
| 2.2 | 21.008460000000 |
| 2.3 | 21.963390000000 |
| 2.4 | 22.918320000000 |
| 2.5 | 23.873250000000 |
| 2.6 | 24.828180000000 |
| 2.7 | 25.783110000000 |
| 2.8 | 26.738040000000 |
| 2.9 | 27.692970000000 |
| 3 | 28.647900000000 |
| 3.1 | 29.602830000000 |
| 3.2 | 30.557760000000 |
| 3.3 | 31.512690000000 |
| 3.4 | 32.467620000000 |
| 3.5 | 33.422550000000 |
| 3.6 | 34.377480000000 |
| 3.7 | 35.332410000000 |
| 3.8 | 36.287340000000 |
| 3.9 | 37.242270000000 |
| 4 | 38.197200000000 |
| 4.1 | 39.152130000000 |
| 4.2 | 40.107060000000 |
| 4.3 | 41.061990000000 |
| 4.4 | 42.016920000000 |
| 4.5 | 42.971850000000 |
| 4.6 | 43.926780000000 |
| 4.7 | 44.881710000000 |
| 4.8 | 45.836640000000 |
| 4.9 | 46.791570000000 |
| 5 | 47.746500000000 |
| 5.1 | 48.701430000000 |
| 5.2 | 49.656360000000 |
| 5.3 | 50.611290000000 |
| 5.4 | 51.566220000000 |
| 5.5 | 52.521150000000 |
| 5.6 | 53.476080000000 |
| 5.7 | 54.431010000000 |
| 5.8 | 55.385940000000 |
| 5.9 | 56.340870000000 |
| 6 | 57.295800000000 |
| 6.1 | 58.250730000000 |
| 6.2 | 59.205660000000 |
| 6.3 | 60.160590000000 |
| 6.4 | 61.115520000000 |
| 6.5 | 62.070450000000 |
| 6.6 | 63.025380000000 |
| 6.7 | 63.980310000000 |
| 6.8 | 64.935240000000 |
| 6.9 | 65.890170000000 |
| 7 | 66.845100000000 |
| 7.1 | 67.800030000000 |
| 7.2 | 68.754960000000 |
| 7.3 | 69.709890000000 |
| 7.4 | 70.664820000000 |
| 7.5 | 71.619750000000 |
| 7.6 | 72.574680000000 |
| 7.7 | 73.529610000000 |
| 7.8 | 74.484540000000 |
| 7.9 | 75.439470000000 |
| 8 | 76.394400000000 |
| 8.1 | 77.349330000000 |
| 8.2 | 78.304260000000 |
| 8.3 | 79.259190000000 |
| 8.4 | 80.214120000000 |
| 8.5 | 81.169050000000 |
| 8.6 | 82.123980000000 |
| 8.7 | 83.078910000000 |
| 8.8 | 84.033840000000 |
| 8.9 | 84.988770000000 |
| 9 | 85.943700000000 |
| 9.1 | 86.898630000000 |
| 9.2 | 87.853560000000 |
| 9.3 | 88.808490000000 |
| 9.4 | 89.763420000000 |
| 9.5 | 90.718350000000 |
| 9.6 | 91.673280000000 |
| 9.7 | 92.628210000000 |
| 9.8 | 93.583140000000 |
| 9.9 | 94.538070000000 |
| 10 | 95.493000000000 |