Hertz (Hz), the unit of frequency, measures the number of cycles per second. It’s named after Heinrich Hertz, the physicist who first proved the existence of electromagnetic waves. In 1888, his groundbreaking experiments paved the way for the development of radio, television, and other communication technologies. Fascinatingly, the concept of frequency extends well beyond sound — it’s also crucial in physics, describing phenomena such as light waves and even the rotation of electron orbitals.
In our everyday lives, Hertz is everywhere. When you listen to music, the pitch you hear is influenced by the frequency in Hertz, with middle C on a piano vibrating at about 261.6 Hz. Even your household electrical system operates at frequencies of 50 or 60 Hz, depending on your region. This widespread influence underscores how integral Hertz is to both technology and daily experiences.
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.
Hertz | Radians per second |
---|---|
0
Hz
|
0
rad/s
|
10
Hz
|
62.83185
rad/s
|
20
Hz
|
125.66371
rad/s
|
30
Hz
|
188.49556
rad/s
|
40
Hz
|
251.32741
rad/s
|
50
Hz
|
314.15927
rad/s
|
60
Hz
|
376.99112
rad/s
|
70
Hz
|
439.82297
rad/s
|
80
Hz
|
502.65482
rad/s
|
90
Hz
|
565.48668
rad/s
|
100
Hz
|
628.31853
rad/s
|
110
Hz
|
691.15038
rad/s
|
120
Hz
|
753.98224
rad/s
|
130
Hz
|
816.81409
rad/s
|
140
Hz
|
879.64594
rad/s
|
150
Hz
|
942.4778
rad/s
|
160
Hz
|
1005.30965
rad/s
|
170
Hz
|
1068.1415
rad/s
|
180
Hz
|
1130.97336
rad/s
|
190
Hz
|
1193.80521
rad/s
|
200
Hz
|
1256.63706
rad/s
|
210
Hz
|
1319.46891
rad/s
|
220
Hz
|
1382.30077
rad/s
|
230
Hz
|
1445.13262
rad/s
|
240
Hz
|
1507.96447
rad/s
|
250
Hz
|
1570.79633
rad/s
|
260
Hz
|
1633.62818
rad/s
|
270
Hz
|
1696.46003
rad/s
|
280
Hz
|
1759.29189
rad/s
|
290
Hz
|
1822.12374
rad/s
|
300
Hz
|
1884.95559
rad/s
|
310
Hz
|
1947.78745
rad/s
|
320
Hz
|
2010.6193
rad/s
|
330
Hz
|
2073.45115
rad/s
|
340
Hz
|
2136.283
rad/s
|
350
Hz
|
2199.11486
rad/s
|
360
Hz
|
2261.94671
rad/s
|
370
Hz
|
2324.77856
rad/s
|
380
Hz
|
2387.61042
rad/s
|
390
Hz
|
2450.44227
rad/s
|
400
Hz
|
2513.27412
rad/s
|
410
Hz
|
2576.10598
rad/s
|
420
Hz
|
2638.93783
rad/s
|
430
Hz
|
2701.76968
rad/s
|
440
Hz
|
2764.60154
rad/s
|
450
Hz
|
2827.43339
rad/s
|
460
Hz
|
2890.26524
rad/s
|
470
Hz
|
2953.09709
rad/s
|
480
Hz
|
3015.92895
rad/s
|
490
Hz
|
3078.7608
rad/s
|
500
Hz
|
3141.59265
rad/s
|
510
Hz
|
3204.42451
rad/s
|
520
Hz
|
3267.25636
rad/s
|
530
Hz
|
3330.08821
rad/s
|
540
Hz
|
3392.92007
rad/s
|
550
Hz
|
3455.75192
rad/s
|
560
Hz
|
3518.58377
rad/s
|
570
Hz
|
3581.41563
rad/s
|
580
Hz
|
3644.24748
rad/s
|
590
Hz
|
3707.07933
rad/s
|
600
Hz
|
3769.91118
rad/s
|
610
Hz
|
3832.74304
rad/s
|
620
Hz
|
3895.57489
rad/s
|
630
Hz
|
3958.40674
rad/s
|
640
Hz
|
4021.2386
rad/s
|
650
Hz
|
4084.07045
rad/s
|
660
Hz
|
4146.9023
rad/s
|
670
Hz
|
4209.73416
rad/s
|
680
Hz
|
4272.56601
rad/s
|
690
Hz
|
4335.39786
rad/s
|
700
Hz
|
4398.22972
rad/s
|
710
Hz
|
4461.06157
rad/s
|
720
Hz
|
4523.89342
rad/s
|
730
Hz
|
4586.72527
rad/s
|
740
Hz
|
4649.55713
rad/s
|
750
Hz
|
4712.38898
rad/s
|
760
Hz
|
4775.22083
rad/s
|
770
Hz
|
4838.05269
rad/s
|
780
Hz
|
4900.88454
rad/s
|
790
Hz
|
4963.71639
rad/s
|
800
Hz
|
5026.54825
rad/s
|
810
Hz
|
5089.3801
rad/s
|
820
Hz
|
5152.21195
rad/s
|
830
Hz
|
5215.0438
rad/s
|
840
Hz
|
5277.87566
rad/s
|
850
Hz
|
5340.70751
rad/s
|
860
Hz
|
5403.53936
rad/s
|
870
Hz
|
5466.37122
rad/s
|
880
Hz
|
5529.20307
rad/s
|
890
Hz
|
5592.03492
rad/s
|
900
Hz
|
5654.86678
rad/s
|
910
Hz
|
5717.69863
rad/s
|
920
Hz
|
5780.53048
rad/s
|
930
Hz
|
5843.36234
rad/s
|
940
Hz
|
5906.19419
rad/s
|
950
Hz
|
5969.02604
rad/s
|
960
Hz
|
6031.85789
rad/s
|
970
Hz
|
6094.68975
rad/s
|
980
Hz
|
6157.5216
rad/s
|
990
Hz
|
6220.35345
rad/s
|
1000
Hz
|
6283.18531
rad/s
|
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