Should not be too complicated… Circumference of a round object is 2πr, where r is the radius. The circumference is 360°. So rotary speed ω [°/s] to linear speed v [mm/s] would be (r in mm):
v = ω 2πr / 360° = ωπr/180°
So 45°/s for an object with 50 mm radius translates to 45°/s x π x 50mm / 180° = 39.3 mm/s
mm/s to mm/min is trivial, just *60s → 39.3 mm/s x 60 s/min = 2356 mm/min.
Or you enter ω in °/min directly, same.
EDIT: for practical use the V_max for different radii, assuming 2700 °/min:
| r [mm] | d [mm] | Vmax [mm/min] |
|---|---|---|
| 5 | 10 | 236 |
| 10 | 20 | 471 |
| 15 | 30 | 707 |
| 20 | 40 | 942 |
| 25 | 50 | 1178 |
| 30 | 60 | 1414 |
| 35 | 70 | 1649 |
| 40 | 80 | 1885 |
| 45 | 90 | 2121 |
| 50 | 100 | 2356 |
| 55 | 110 | 2592 |
| 60 | 120 | 2827 |
| 65 | 130 | 3063 |
| 70 | 140 | 3299 |
| 75 | 150 | 3534 |
| 80 | 160 | 3770 |
| 85 | 170 | 4006 |
| 90 | 180 | 4241 |
| 95 | 190 | 4477 |
| 100 | 200 | 4712 |
| 105 | 210 | 4948 |
| 110 | 220 | 5184 |
| 115 | 230 | 5419 |
| 120 | 240 | 5655 |
| 125 | 250 | 5890 |