CONVERSION FACTORS ANGULAR MEASURE
1 revolution = 360° = 21,600 minutes = 1,296,000 seconds » 2pi radians (rad)
1° = 60 minutes (min) = 3600 seconds (s) » 0.0175 rad
1 min = 60 s = 0.0167° » 0.291 mrad
1 s = 0.0167 min = 0.000278° » 4.85 µrad
1 rad » 57.3°; 1 mrad » 3.48 min; 1 µrad » 0.206 s
Sometimes the terms "arcminutes" and
"arcseconds" are used to differentiate the units of
angle from the units of time.
If the context makes the meaning
clear, the "arc" prefix need not be used.
Occasionally, the symbols ' and " are used to indicate
arcminutes and arcseconds, respectively. Because they can be
confused with feet and inches, they should not be used.
LINEAR MEASURE
1 foot (ft) = 12 inches (in) = 304.8 millimeters (mm)
1 in = 25.4 mm
0.001 in = 25.4 micrometer (µm)
1 meter (m) » 3.281 ft » 39.37 in
1 mm » 0.0394 in
1 µm » 39.37 µin
The terms "mil" (= 0.001 in; short for milli-inch) and
"micron" (= 1 µm) should not be used.
SPEED
1 rev/min (rpm) = 1/60 rev/s (rps)
1 rad/s » 57.3 deg/s » 0.159 rev/s
1 in/min » 0.423 mm/s
1 mm/min » 0.000657 in/s
BINARY RESOLUTION (Angular Resolution)
|
N Bits
|
Counts/rev =2^N
|
Deg/min/sec
|
Radians
|
|
1
|
2
|
180 deg
|
3.14 rad
|
|
2
|
4
|
90
|
1.57
|
|
3
|
8
|
45
|
0.79
|
|
4
|
16
|
22.5
|
0.39
|
|
5
|
32
|
11.25
|
0.20
|
|
6
|
64
|
5.63
|
0.10
|
|
7
|
128
|
2.81
|
0.05
|
|
8
|
256
|
1.41
|
0.02
|
|
9
|
512
|
42.19 min
|
12.27 mrad
|
|
10
|
1,024
|
21.09
|
6.14
|
|
11
|
2,048
|
10.55
|
3.07
|
|
12
|
4,096
|
5.27
|
1.53
|
|
13
|
8,192
|
2.64
|
0.77
|
|
14
|
16,384
|
1.32
|
0.38
|
|
15
|
32,768
|
39.55 sec
|
0.19
|
|
16
|
65,536
|
19.78
|
95.87 microrad
|
|
17
|
131,072
|
9.89
|
47.94
|
|
18
|
262,144
|
4.95
|
23.97
|
|
19
|
524,288
|
2.47
|
11.98
|
|
20
|
1,048,576
|
1.24
|
5.99
|
|
21
|
2,097,152
|
0.62
|
3.00
|
|
22
|
4,194,304
|
0.31
|
1.50
|
|
23
|
8,388,608
|
0.15
|
0.75
|
|
24
|
16,777,216
|
0.08
|
0.37
|
|
25
|
33,554,432
|
0.04
|
0.19
|
|
26
|
67,108,864
|
0.02
|
0.09
|
ã
04/25/2006 Gurley Precision Instruments
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