We have compiled a series of look-up tables to help engineers convert between the most common angular units. This is particularly useful when specifying requirements for a new angular position sensor.
We have compiled a series of look-up tables to help engineers convert between the most common angular units. This is particularly useful when specifying requirements for a new angular position sensor.
Degrees | Radians | Milli-Radians | Micro-Radians | Arc- Minutes | Arc- Seconds | % of rev |
1 | 0.0174556 | 17.4555712 | 17,455.57 | 60 | 3,600 | 0.2777778 |
57.2883514 | 1 | 1,000 | 1,000,000 | 3,437.3 | 206,238.1 | 15.9134309 |
0.0572884 | 0.0010000 | 1 | 1,000 | 3.4373011 | 206.24 | 0.0159134 |
0.0000573 | 0.0000010 | 0.0010000 | 1 | 0.0034373 | 0.2062381 | 0.0000159 |
0.0166666 | 0.0002909 | 0.2908656 | 290.8656195 | 1 | 60 | 0.0046296 |
0.0002778 | 0.0000048 | 0.0048478 | 4.8477797 | 0.0166667 | 1 | 0.0000772 |
3.6 | 0.0628571 | 62.8571 | 62,857.143 | 216 | 12,960 | 1 |
360 | 6.2857143 | 6,286 | 6,285,714 | 21,600 | 1,296,000 | 100 |
Binary Digits | Counts per rev. | Degrees per Bit | Radians per Bit | Mili- Radians per Bit | Micro- Radians per Bit | Arc- Minutes Per Bit | Arc- Seconds Per Bit |
10 | 1,024 | 0.3515625 | 0.0061355 | 6.135471 | 6135.4712 | 21.094 | 1265.625 |
11 | 2,048 | 0.1757813 | 0.0030677 | 3.067736 | 3067.7356 | 10.547 | 632.813 |
12 | 4,096 | 0.0878906 | 0.0015339 | 1.533868 | 1533.8678 | 5.273 | 316.406 |
13 | 8,192 | 0.0439453 | 0.0007669 | 0.766934 | 766.9339 | 2.637 | 158.203 |
14 | 16,384 | 0.0219727 | 0.0003835 | 0.383467 | 383.4670 | 1.318 | 79.102 |
15 | 32,768 | 0.0109863 | 0.0001917 | 0.191733 | 191.7335 | 0.659 | 39.551 |
16 | 65,536 | 0.0054932 | 0.0000959 | 0.095867 | 95.8667 | 0.330 | 19.775 |
17 | 131,072 | 0.0027466 | 0.0000479 | 0.047933 | 47.9334 | 0.165 | 9.888 |
18 | 262,144 | 0.0013733 | 0.0000240 | 0.023967 | 23.9667 | 0.082 | 4.944 |
19 | 524,288 | 0.0006866 | 0.0000120 | 0.011983 | 11.9833 | 0.041 | 2.472 |
20 | 1,048,576 | 0.0003433 | 0.0000060 | 0.005992 | 5.9917 | 0.021 | 1.236 |
21 | 2,097,152 | 0.0001717 | 0.0000030 | 0.002996 | 2.9958 | 0.010 | 0.618 |
22 | 4,194,304 | 0.0000858 | 0.0000015 | 0.001498 | 1.4979 | 0.005 | 0.309 |
23 | 8,388,608 | 0.0000429 | 0.0000007 | 0.000749 | 0.7490 | 0.003 | 0.154 |
24 | 16,777,216 | 0.0000215 | 0.0000004 | 0.000374 | 0.3745 | 0.001 | 0.077 |