Hertz to Radians per Second Calculator

Calculate Radians per Second

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Formula

The formula to calculate Radians per Second (rad/s) from Hertz (Hz) is:

\[ \text{rad/s} = \text{Hz} \times 6.283185 \]

Where:

Hertz to Radians per Second Definition

Hertz (Hz) is a unit of frequency, representing one cycle per second. Radians per Second (rad/s) is a unit of angular velocity, representing the angle in radians through which a point or line has rotated in one second. The conversion from Hertz to Radians per Second is straightforward: multiply the frequency in Hertz by 6.283185[^1^].

Example Calculation

Let's assume the following value:

Using the formula:

\[ \text{rad/s} = 10 \times 6.283185 \]

\[ \text{rad/s} = 62.83185 \]

The Frequency (rad/s) is 62.83185 rad/s.

Hertz to Radians per Second Conversion Table

Frequency (Hz) Frequency (rad/s)
1 6.283185
2 12.566370
3 18.849555
4 25.132740
5 31.415925
6 37.699110
7 43.982295
8 50.265480
9 56.548665
10 62.831850
11 69.115035
12 75.398220
13 81.681405
14 87.964590
15 94.247775
16 100.530960
17 106.814145
18 113.097330
19 119.380515
20 125.663700
21 131.946885
22 138.230070
23 144.513255
24 150.796440
25 157.079625
26 163.362810
27 169.645995
28 175.929180
29 182.212365
30 188.495550
31 194.778735
32 201.061920
33 207.345105
34 213.628290
35 219.911475
36 226.194660
37 232.477845
38 238.761030
39 245.044215
40 251.327400
41 257.610585
42 263.893770
43 270.176955
44 276.460140
45 282.743325
46 289.026510
47 295.309695
48 301.592880
49 307.876065
50 314.159250
51 320.442435
52 326.725620
53 333.008805
54 339.291990
55 345.575175
56 351.858360
57 358.141545
58 364.424730
59 370.707915
60 376.991100
61 383.274285
62 389.557470
63 395.840655
64 402.123840
65 408.407025
66 414.690210
67 420.973395
68 427.256580
69 433.539765
70 439.822950
71 446.106135
72 452.389320
73 458.672505
74 464.955690
75 471.238875
76 477.522060
77 483.805245
78 490.088430
79 496.371615
80 502.654800
81 508.937985
82 515.221170
83 521.504355
84 527.787540
85 534.070725
86 540.353910
87 546.637095
88 552.920280
89 559.203465
90 565.486650
91 571.769835
92 578.053020
93 584.336205
94 590.619390
95 596.902575
96 603.185760
97 609.468945
98 615.752130
99 622.035315
100 628.318500