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The formula to calculate Radians per Second (rad/s) from Hertz (Hz) is:
\[ \text{rad/s} = \text{Hz} \times 6.283185 \]
Where:
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^].
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.
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 |