Angular Velocity

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The following units are included in this section:

 

ID

Unit

Definition

Wikipedia page and other notes

1

radian / second (rad/s)

-

https://en.wikipedia.org/wiki/Radian_per_second

2

degree / second (°/s)

(π/180) rad/s

 

3

gradian / second (grad/s, gon/s)

(π/200) rad/s

 

4

milliradian / second (mrad/s)

10-3 rad/s

 

5

microradian / second (μrad/s)

10-6 rad/s

 

6

circle / second (revolution/s, turn/s)

(2π) rad/s

https://en.wikipedia.org/wiki/Cycle_per_second

7

quadrant / second (right angle/s)

(π/2) rad/s

 

8

minute of arc / second (′/s)

(1/60) degree/s

 

9

second of arc / second (″/s)

(1/3600) degree/s

 

10

radian / millisecond (rad/ms)

1000 rad/s

 

11

degree / millisecond (°/ms)

(50π/9) rad/s

 

12

gradian / millisecond (grad/s, gon/ms)

(5π) rad/s

 

13

milliradian / millisecond (mrad/ms)

1 rad/s

 

14

microradian / millisecond (μrad/ms)

10-3 rad/s

 

15

circle / millisecond (revolution/s, turn/ms)

(2000π) rad/s

 

16

quadrant / millisecond (right angle/ms)

(500π) rad/s

 

17

minute of arc / millisecond (′/ms)

(50/3) degree/s

 

18

second of arc / millisecond (″/ms)

(5/18) degree/s

 

19

radian / microsecond (rad/μs)

106 rad/s

 

20

degree / microsecond (°/μs)

1000*(50π/9) rad/s

 

21

gradian / microsecond (grad/s, gon/μs)

(5000π) rad/s

 

22

milliradian / microsecond (mrad/μs)

1000 rad/s

 

23

microradian / microsecond (μrad/μs)

1 rad/s

 

24

circle / microsecond (revolution/s, turn/μs)

2×106π rad/s

 

25

quadrant / microsecond (right angle/μs)

5×105π rad/s

 

26

minute of arc / microsecond (′/μs)

(50,000/3) degree/s

 

27

second of arc / microsecond (″/μs)

(5000/18) degree/s

 

28

radian / minute (rad/min)

1/60 rad/s

 

29

degree / minute (°/min)

(π/10,800) rad/s

 

30

gradian / minute (grad/min, gon/min)

(π/12,000) rad/s

 

31

milliradian / minute (mrad/min)

10-3/60 rad/s

 

32

microradian / minute (μrad/min)

10-6/60 rad/s

 

33

circle / minute (revolution/min, turn/min)

(2π/60) rad/s

 

34

quadrant / minute (right angle/min)

(π/120) rad/s

 

35

minute of arc / minute (′/min)

(1/3600) degree/s

 

36

second of arc / minute (″/min)

(1/216,000) degree/s

 

37

radian / hour (rad/h)

1/3600 rad/s

 

38

degree / hour (°/h)

(π/648,000) rad/s

 

39

gradian / hour (grad/h, gon/h)

(π/720,000) rad/s

 

40

milliradian / hour (mrad/h)

10-5/36 rad/s

 

41

microradian / hour (μrad/h)

10-8/36 rad/s

 

42

circle / hour (revolution/h, turn/h)

(π/1800) rad/s

 

43

quadrant / hour (right angle/h)

(π/7200) rad/s

 

44

minute of arc / hour (′/h)

(1/216,000) degree/s

 

45

second of arc / hour (″/h)

(1/12,960,000) degree/s

 

46

radian / day (rad/d)

1/86,400 rad/s

 

47

degree / day (°/d)

(π/15,552,000) rad/s

 

48

gradian / day (grad/d, gon/d)

(π/17,280,000) rad/s

 

49

milliradian / day (mrad/d)

10-5/864 rad/s

 

50

microradian / day (μrad/d)

10-8/864 rad/s

 

51

circle / day (revolution/h, turn/d)

(π/43,200) rad/s

 

52

quadrant / day (right angle/d)

(π/172,800) rad/s

 

53

minute of arc / day (′/d)

(1/5,184,000) degree/s

 

54

second of arc / day (″/d)

(10-4/31104) degree/s

 

 

All the above definitions of the various units are EXACT.

Note: In the above, a period (.) is used to indicate the decimal place and a comma (,) is used to separate groups of thousands.

 

Type of conversion relationship: DIRECTLY PROPORTIONAL (y=ax)

Example conversion diagram (see two units in bold above):

Angular Velocity