Using a differential screw, a reasonable revolution of the screw can be
transformed into a tiny translation. Industrious Micah has generated the
tables of what
"virtually" threaded screw and translation can be achieved
with each differential screw combination.
Differential Screw Analyzer |
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Advance/Turn (microns) |
||||||||||||||||||
Threads Per Inch |
64 |
56 |
48 |
44 |
40 |
36 |
32 |
28 |
27 |
24 |
20 |
18 |
16 |
15 |
14 |
13 |
12 |
10 |
64 |
100000.00 |
56.70 |
132.29 |
180.40 |
238.13 |
308.68 |
396.88 |
510.27 |
543.87 |
661.46 |
873.13 |
1014.24 |
1190.63 |
1296.46 |
1417.41 |
1556.97 |
1719.79 |
2143.13 |
56 |
56.70 |
100000.00 |
75.60 |
123.70 |
181.43 |
251.98 |
340.18 |
453.57 |
487.17 |
604.76 |
816.43 |
957.54 |
1133.93 |
1239.76 |
1360.71 |
1500.27 |
1663.10 |
2086.43 |
48 |
132.29 |
75.60 |
100000.00 |
48.11 |
105.83 |
176.39 |
264.58 |
377.98 |
411.57 |
529.17 |
740.83 |
881.94 |
1058.33 |
1164.17 |
1285.12 |
1424.68 |
1587.50 |
2010.83 |
44 |
180.40 |
123.70 |
48.11 |
100000.00 |
57.73 |
128.28 |
216.48 |
329.87 |
363.47 |
481.06 |
692.73 |
833.84 |
1010.23 |
1116.06 |
1237.01 |
1376.57 |
1539.39 |
1962.73 |
40 |
238.13 |
181.43 |
105.83 |
57.73 |
100000.00 |
70.56 |
158.75 |
272.14 |
305.74 |
423.33 |
635.00 |
776.11 |
952.50 |
1058.33 |
1179.29 |
1318.85 |
1481.67 |
1905.00 |
36 |
308.68 |
251.98 |
176.39 |
128.28 |
70.56 |
100000.00 |
88.19 |
201.59 |
235.19 |
352.78 |
564.44 |
705.56 |
881.94 |
987.78 |
1108.73 |
1248.29 |
1411.11 |
1834.44 |
32 |
396.88 |
340.18 |
264.58 |
216.48 |
158.75 |
88.19 |
100000.00 |
113.39 |
146.99 |
264.58 |
476.25 |
617.36 |
793.75 |
899.58 |
1020.54 |
1160.10 |
1322.92 |
1746.25 |
28 |
510.27 |
453.57 |
377.98 |
329.87 |
272.14 |
201.59 |
113.39 |
100000.00 |
33.60 |
151.19 |
362.86 |
503.97 |
680.36 |
786.19 |
907.14 |
1046.70 |
1209.52 |
1632.86 |
27 |
543.87 |
487.17 |
411.57 |
363.47 |
305.74 |
235.19 |
146.99 |
33.60 |
100000.00 |
117.59 |
329.26 |
470.37 |
646.76 |
752.59 |
873.54 |
1013.11 |
1175.93 |
1599.26 |
24 |
661.46 |
604.76 |
529.17 |
481.06 |
423.33 |
352.78 |
264.58 |
151.19 |
117.59 |
100000.00 |
211.67 |
352.78 |
529.17 |
635.00 |
755.95 |
895.51 |
1058.33 |
1481.67 |
20 |
873.13 |
816.43 |
740.83 |
692.73 |
635.00 |
564.44 |
476.25 |
362.86 |
329.26 |
211.67 |
100000.00 |
141.11 |
317.50 |
423.33 |
544.29 |
683.85 |
846.67 |
1270.00 |
18 |
1014.24 |
957.54 |
881.94 |
833.84 |
776.11 |
705.56 |
617.36 |
503.97 |
470.37 |
352.78 |
141.11 |
100000.00 |
176.39 |
282.22 |
403.17 |
542.74 |
705.56 |
1128.89 |
16 |
1190.63 |
1133.93 |
1058.33 |
1010.23 |
952.50 |
881.94 |
793.75 |
680.36 |
646.76 |
529.17 |
317.50 |
176.39 |
100000.00 |
105.83 |
226.79 |
366.35 |
529.17 |
952.50 |
15 |
1296.46 |
1239.76 |
1164.17 |
1116.06 |
1058.33 |
987.78 |
899.58 |
786.19 |
752.59 |
635.00 |
423.33 |
282.22 |
105.83 |
100000.00 |
120.95 |
260.51 |
423.33 |
846.67 |
14 |
1417.41 |
1360.71 |
1285.12 |
1237.01 |
1179.29 |
1108.73 |
1020.54 |
907.14 |
873.54 |
755.95 |
544.29 |
403.17 |
226.79 |
120.95 |
100000.00 |
139.56 |
302.38 |
725.71 |
13 |
1556.97 |
1500.27 |
1424.68 |
1376.57 |
1318.85 |
1248.29 |
1160.10 |
1046.70 |
1013.11 |
895.51 |
683.85 |
542.74 |
366.35 |
260.51 |
139.56 |
100000.00 |
162.82 |
586.15 |
12 |
1719.79 |
1663.10 |
1587.50 |
1539.39 |
1481.67 |
1411.11 |
1322.92 |
1209.52 |
1175.93 |
1058.33 |
846.67 |
705.56 |
529.17 |
423.33 |
302.38 |
162.82 |
100000.00 |
423.33 |
10 |
2143.13 |
2086.43 |
2010.83 |
1962.73 |
1905.00 |
1834.44 |
1746.25 |
1632.86 |
1599.26 |
1481.67 |
1270.00 |
1128.89 |
952.50 |
846.67 |
725.71 |
586.15 |
423.33 |
100000.00 |
Advance/Step of Motor (microns) |
||||||||||||||||||
Threads Per Inch |
64 |
56 |
48 |
44 |
40 |
36 |
32 |
28 |
27 |
24 |
20 |
18 |
16 |
15 |
14 |
13 |
12 |
10 |
64 |
2083.33 |
1.18 |
2.76 |
3.76 |
4.96 |
6.43 |
8.27 |
10.63 |
11.33 |
13.78 |
18.19 |
21.13 |
24.80 |
27.01 |
29.53 |
32.44 |
35.83 |
44.65 |
56 |
1.18 |
2083.33 |
1.57 |
2.58 |
3.78 |
5.25 |
7.09 |
9.45 |
10.15 |
12.60 |
17.01 |
19.95 |
23.62 |
25.83 |
28.35 |
31.26 |
34.65 |
43.47 |
48 |
2.76 |
1.57 |
2083.33 |
1.00 |
2.20 |
3.67 |
5.51 |
7.87 |
8.57 |
11.02 |
15.43 |
18.37 |
22.05 |
24.25 |
26.77 |
29.68 |
33.07 |
41.89 |
44 |
3.76 |
2.58 |
1.00 |
2083.33 |
1.20 |
2.67 |
4.51 |
6.87 |
7.57 |
10.02 |
14.43 |
17.37 |
21.05 |
23.25 |
25.77 |
28.68 |
32.07 |
40.89 |
40 |
4.96 |
3.78 |
2.20 |
1.20 |
2083.33 |
1.47 |
3.31 |
5.67 |
6.37 |
8.82 |
13.23 |
16.17 |
19.84 |
22.05 |
24.57 |
27.48 |
30.87 |
39.69 |
36 |
6.43 |
5.25 |
3.67 |
2.67 |
1.47 |
2083.33 |
1.84 |
4.20 |
4.90 |
7.35 |
11.76 |
14.70 |
18.37 |
20.58 |
23.10 |
26.01 |
29.40 |
38.22 |
32 |
8.27 |
7.09 |
5.51 |
4.51 |
3.31 |
1.84 |
2083.33 |
2.36 |
3.06 |
5.51 |
9.92 |
12.86 |
16.54 |
18.74 |
21.26 |
24.17 |
27.56 |
36.38 |
28 |
10.63 |
9.45 |
7.87 |
6.87 |
5.67 |
4.20 |
2.36 |
2083.33 |
0.70 |
3.15 |
7.56 |
10.50 |
14.17 |
16.38 |
18.90 |
21.81 |
25.20 |
34.02 |
27 |
11.33 |
10.15 |
8.57 |
7.57 |
6.37 |
4.90 |
3.06 |
0.70 |
2083.33 |
2.45 |
6.86 |
9.80 |
13.47 |
15.68 |
18.20 |
21.11 |
24.50 |
33.32 |
24 |
13.78 |
12.60 |
11.02 |
10.02 |
8.82 |
7.35 |
5.51 |
3.15 |
2.45 |
2083.33 |
4.41 |
7.35 |
11.02 |
13.23 |
15.75 |
18.66 |
22.05 |
30.87 |
20 |
18.19 |
17.01 |
15.43 |
14.43 |
13.23 |
11.76 |
9.92 |
7.56 |
6.86 |
4.41 |
2083.33 |
2.94 |
6.61 |
8.82 |
11.34 |
14.25 |
17.64 |
26.46 |
18 |
21.13 |
19.95 |
18.37 |
17.37 |
16.17 |
14.70 |
12.86 |
10.50 |
9.80 |
7.35 |
2.94 |
2083.33 |
3.67 |
5.88 |
8.40 |
11.31 |
14.70 |
23.52 |
16 |
24.80 |
23.62 |
22.05 |
21.05 |
19.84 |
18.37 |
16.54 |
14.17 |
13.47 |
11.02 |
6.61 |
3.67 |
2083.33 |
2.20 |
4.72 |
7.63 |
11.02 |
19.84 |
15 |
27.01 |
25.83 |
24.25 |
23.25 |
22.05 |
20.58 |
18.74 |
16.38 |
15.68 |
13.23 |
8.82 |
5.88 |
2.20 |
2083.33 |
2.52 |
5.43 |
8.82 |
17.64 |
14 |
29.53 |
28.35 |
26.77 |
25.77 |
24.57 |
23.10 |
21.26 |
18.90 |
18.20 |
15.75 |
11.34 |
8.40 |
4.72 |
2.52 |
2083.33 |
2.91 |
6.30 |
15.12 |
13 |
32.44 |
31.26 |
29.68 |
28.68 |
27.48 |
26.01 |
24.17 |
21.81 |
21.11 |
18.66 |
14.25 |
11.31 |
7.63 |
5.43 |
2.91 |
2083.33 |
3.39 |
12.21 |
12 |
35.83 |
34.65 |
33.07 |
32.07 |
30.87 |
29.40 |
27.56 |
25.20 |
24.50 |
22.05 |
17.64 |
14.70 |
11.02 |
8.82 |
6.30 |
3.39 |
2083.33 |
8.82 |
10 |
44.65 |
43.47 |
41.89 |
40.89 |
39.69 |
38.22 |
36.38 |
34.02 |
33.32 |
30.87 |
26.46 |
23.52 |
19.84 |
17.64 |
15.12 |
12.21 |
8.82 |
2083.33 |
MINIMUM VALUE OF EACH THREAD |
1.18 |
1.18 |
1.00 |
1.00 |
1.20 |
1.47 |
1.84 |
0.70 |
0.70 |
2.45 |
2.94 |
2.94 |
2.20 |
2.20 |
2.52 |
2.91 |
3.39 |
8.82 |
TOTAL MINIMUM VALUE |
0.70 |
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