Kilohertz (kHz), a unit of frequency equal to 1,000 hertz, is a central part of our digital world. It’s prominently used to measure frequencies of audio signals, radio transmissions, and clock speeds in computers. The human ear can typically hear sounds ranging from 20 Hz to 20 kHz. Interestingly, ultrasonic devices like bat echolocation operate at frequencies well beyond this range, often between 20 kHz and 200 kHz, allowing them sophistication in navigation and hunting that humans cannot directly experience.
In radio broadcasting, AM radio stations operate at kilohertz frequencies, generally between 530 kHz to 1700 kHz, catering to long-distance communication. This contrasts with FM radio, which uses the higher megahertz range. Understanding kilohertz can give insight into how different signals traverse space, influencing everything from global communications to wildlife studies.
Radian per second is a unit of angular velocity, commonly used in physics and engineering to describe rotational motion. One fascinating aspect of this unit is its connection to everyday observations, such as how the Earth rotates. The Earth spins at an angular velocity of about 7.29 x 10^-5 rad/s, a measurement that reflects both time and spatial dimensions harmoniously. Unlike degrees per second, which may vary with context, radians per second universally link angle to time via the constant π, making it a fundamental choice in scientific calculations.
Additionally, radian per second is pivotal in the world of oscillations and wave motion. For example, the frequency of a simple harmonic oscillator, like a swinging pendulum, can be directly analyzed using radians per second, shedding light on the intrinsic natural frequency of systems. These conversions are crucial in designing everything from clock mechanisms to advanced aerospace technology, demonstrating the profound impact this unit has across various fields.
Kilohertz | Radians per second |
---|---|
0
kHz
|
0
rad/s
|
1
kHz
|
6283.18531
rad/s
|
2
kHz
|
12566.37061
rad/s
|
3
kHz
|
18849.55592
rad/s
|
4
kHz
|
25132.74123
rad/s
|
5
kHz
|
31415.92654
rad/s
|
6
kHz
|
37699.11184
rad/s
|
7
kHz
|
43982.29715
rad/s
|
8
kHz
|
50265.48246
rad/s
|
9
kHz
|
56548.66776
rad/s
|
10
kHz
|
62831.85307
rad/s
|
11
kHz
|
69115.03838
rad/s
|
12
kHz
|
75398.22369
rad/s
|
13
kHz
|
81681.40899
rad/s
|
14
kHz
|
87964.5943
rad/s
|
15
kHz
|
94247.77961
rad/s
|
16
kHz
|
100530.96491
rad/s
|
17
kHz
|
106814.15022
rad/s
|
18
kHz
|
113097.33553
rad/s
|
19
kHz
|
119380.52084
rad/s
|
20
kHz
|
125663.70614
rad/s
|
21
kHz
|
131946.89145
rad/s
|
22
kHz
|
138230.07676
rad/s
|
23
kHz
|
144513.26207
rad/s
|
24
kHz
|
150796.44737
rad/s
|
25
kHz
|
157079.63268
rad/s
|
26
kHz
|
163362.81799
rad/s
|
27
kHz
|
169646.00329
rad/s
|
28
kHz
|
175929.1886
rad/s
|
29
kHz
|
182212.37391
rad/s
|
30
kHz
|
188495.55922
rad/s
|
31
kHz
|
194778.74452
rad/s
|
32
kHz
|
201061.92983
rad/s
|
33
kHz
|
207345.11514
rad/s
|
34
kHz
|
213628.30044
rad/s
|
35
kHz
|
219911.48575
rad/s
|
36
kHz
|
226194.67106
rad/s
|
37
kHz
|
232477.85637
rad/s
|
38
kHz
|
238761.04167
rad/s
|
39
kHz
|
245044.22698
rad/s
|
40
kHz
|
251327.41229
rad/s
|
41
kHz
|
257610.59759
rad/s
|
42
kHz
|
263893.7829
rad/s
|
43
kHz
|
270176.96821
rad/s
|
44
kHz
|
276460.15352
rad/s
|
45
kHz
|
282743.33882
rad/s
|
46
kHz
|
289026.52413
rad/s
|
47
kHz
|
295309.70944
rad/s
|
48
kHz
|
301592.89474
rad/s
|
49
kHz
|
307876.08005
rad/s
|
50
kHz
|
314159.26536
rad/s
|
51
kHz
|
320442.45067
rad/s
|
52
kHz
|
326725.63597
rad/s
|
53
kHz
|
333008.82128
rad/s
|
54
kHz
|
339292.00659
rad/s
|
55
kHz
|
345575.19189
rad/s
|
56
kHz
|
351858.3772
rad/s
|
57
kHz
|
358141.56251
rad/s
|
58
kHz
|
364424.74782
rad/s
|
59
kHz
|
370707.93312
rad/s
|
60
kHz
|
376991.11843
rad/s
|
61
kHz
|
383274.30374
rad/s
|
62
kHz
|
389557.48905
rad/s
|
63
kHz
|
395840.67435
rad/s
|
64
kHz
|
402123.85966
rad/s
|
65
kHz
|
408407.04497
rad/s
|
66
kHz
|
414690.23027
rad/s
|
67
kHz
|
420973.41558
rad/s
|
68
kHz
|
427256.60089
rad/s
|
69
kHz
|
433539.7862
rad/s
|
70
kHz
|
439822.9715
rad/s
|
71
kHz
|
446106.15681
rad/s
|
72
kHz
|
452389.34212
rad/s
|
73
kHz
|
458672.52742
rad/s
|
74
kHz
|
464955.71273
rad/s
|
75
kHz
|
471238.89804
rad/s
|
76
kHz
|
477522.08335
rad/s
|
77
kHz
|
483805.26865
rad/s
|
78
kHz
|
490088.45396
rad/s
|
79
kHz
|
496371.63927
rad/s
|
80
kHz
|
502654.82457
rad/s
|
81
kHz
|
508938.00988
rad/s
|
82
kHz
|
515221.19519
rad/s
|
83
kHz
|
521504.3805
rad/s
|
84
kHz
|
527787.5658
rad/s
|
85
kHz
|
534070.75111
rad/s
|
86
kHz
|
540353.93642
rad/s
|
87
kHz
|
546637.12172
rad/s
|
88
kHz
|
552920.30703
rad/s
|
89
kHz
|
559203.49234
rad/s
|
90
kHz
|
565486.67765
rad/s
|
91
kHz
|
571769.86295
rad/s
|
92
kHz
|
578053.04826
rad/s
|
93
kHz
|
584336.23357
rad/s
|
94
kHz
|
590619.41887
rad/s
|
95
kHz
|
596902.60418
rad/s
|
96
kHz
|
603185.78949
rad/s
|
97
kHz
|
609468.9748
rad/s
|
98
kHz
|
615752.1601
rad/s
|
99
kHz
|
622035.34541
rad/s
|
100
kHz
|
628318.53072
rad/s
|
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