The following table shows the rotation speeds that are needed for circular stations to produce artificial gravity of various strengths on the inner surface of the circumference of the space station.
Radius m |
0.25 g | 0.50 g | 0.75 g | 1.00 g | ||||
---|---|---|---|---|---|---|---|---|
RPM | ms−1 | RPM | ms−1 | RPM | ms−1 | RPM | ms−1 | |
5 | 6.6868 | 3.501 | 9.4565 | 4.951 | 11.5818 | 6.064 | 13.3736 | 7.002 |
10 | 4.7283 | 4.951 | 6.6868 | 7.002 | 8.1896 | 8.576 | 9.4565 | 9.903 |
15 | 3.8606 | 6.064 | 5.4597 | 8.576 | 6.6868 | 10.504 | 7.7212 | 12.128 |
20 | 3.3434 | 7.002 | 4.7283 | 9.903 | 5.7909 | 12.128 | 6.6868 | 14.005 |
25 | 2.9904 | 7.829 | 4.2291 | 11.072 | 5.1796 | 13.560 | 5.9808 | 15.658 |
30 | 2.7299 | 8.576 | 3.8606 | 12.128 | 4.7283 | 14.854 | 5.4597 | 17.152 |
40 | 2.3641 | 9.903 | 3.3434 | 14.005 | 4.0948 | 17.152 | 4.7283 | 19.806 |
50 | 2.1145 | 11.072 | 2.9904 | 15.658 | 3.6625 | 19.177 | 4.2291 | 22.143 |
60 | 1.9303 | 12.128 | 2.7299 | 17.152 | 3.3434 | 21.007 | 3.8606 | 24.257 |
70 | 1.7871 | 13.100 | 2.5274 | 18.527 | 3.0954 | 22.690 | 3.5742 | 26.200 |
80 | 1.6717 | 14.005 | 2.3641 | 19.806 | 2.8955 | 24.257 | 3.3434 | 28.009 |
90 | 1.5761 | 14.854 | 2.2289 | 21.007 | 2.7299 | 25.728 | 3.1522 | 29.709 |
100 | 1.4952 | 15.658 | 2.1145 | 22.143 | 2.5898 | 27.120 | 2.9904 | 31.316 |
150 | 1.2208 | 19.177 | 1.7265 | 27.120 | 2.1145 | 33.215 | 2.4417 | 38.354 |
200 | 1.0573 | 22.143 | 1.4952 | 31.316 | 1.8312 | 38.354 | 2.1145 | 44.287 |
250 | 0.9457 | 24.757 | 1.3374 | 35.012 | 1.6379 | 42.881 | 1.8913 | 49.514 |
300 | 0.8633 | 27.120 | 1.2208 | 38.354 | 1.4952 | 46.973 | 1.7265 | 54.240 |
400 | 0.7476 | 31.316 | 1.0573 | 44.287 | 1.2949 | 54.240 | 1.4952 | 62.631 |
500 | 0.6687 | 35.012 | 0.9457 | 49.514 | 1.1582 | 60.642 | 1.3374 | 70.024 |
600 | 0.6104 | 38.354 | 0.8633 | 54.240 | 1.0573 | 66.430 | 1.2208 | 76.707 |
700 | 0.5651 | 41.427 | 0.7992 | 58.586 | 0.9788 | 71.753 | 1.1303 | 82.853 |
800 | 0.5286 | 44.287 | 0.7476 | 62.631 | 0.9156 | 76.707 | 1.0573 | 88.574 |
900 | 0.4984 | 46.973 | 0.7048 | 66.430 | 0.8633 | 81.360 | 0.9968 | 93.947 |
1000 | 0.4728 | 49.514 | 0.6687 | 70.024 | 0.8190 | 85.761 | 0.9457 | 99.029 |
1200 | 0.4316 | 54.240 | 0.6104 | 76.707 | 0.7476 | 93.947 | 0.8633 | 108.480 |
1400 | 0.3996 | 58.586 | 0.5651 | 82.853 | 0.6921 | 101.474 | 0.7992 | 117.172 |
1600 | 0.3738 | 62.631 | 0.5286 | 88.574 | 0.6474 | 108.480 | 0.7476 | 125.262 |
1800 | 0.3524 | 66.430 | 0.4984 | 93.947 | 0.6104 | 115.061 | 0.7048 | 132.861 |
2000 | 0.3343 | 70.024 | 0.4728 | 99.029 | 0.5791 | 121.285 | 0.6687 | 140.047 |
2500 | 0.2990 | 78.289 | 0.4229 | 110.717 | 0.5180 | 135.600 | 0.5981 | 156.578 |
3000 | 0.2730 | 85.761 | 0.3861 | 121.285 | 0.4728 | 148.543 | 0.5460 | 171.522 |
3500 | 0.2527 | 92.633 | 0.3574 | 131.002 | 0.4378 | 160.445 | 0.5055 | 185.265 |
4000 | 0.2364 | 99.029 | 0.3343 | 140.047 | 0.4095 | 171.522 | 0.4728 | 198.057 |
4500 | 0.2229 | 105.036 | 0.3152 | 148.543 | 0.3861 | 181.927 | 0.4458 | 210.071 |
5000 | 0.2115 | 110.717 | 0.2990 | 156.578 | 0.3662 | 191.768 | 0.4229 | 221.435 |
The formula for rotation speed is:
S = r × (a / r) 0.5
Where:
In revolutions per minute:
RPM = (60 / 2π) × (a / r) 0.5