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Cycles per second to Radians per second Conversion

Cycle per second to radian per second conversion allow you make a conversion between cycle per second and radian per second easily. You can find the tool in the following.

Frequency Conversion

to

input
= 6.28318520
= 0.0628319 × 102
= 0.0628319E2
= 0.0628319e2
= 12.56637040
= 0.125664 × 102
= 0.125664E2
= 0.125664e2
= 18.84955560
= 0.188496 × 102
= 0.188496E2
= 0.188496e2
= 25.13274080
= 0.251327 × 102
= 0.251327E2
= 0.251327e2
= 31.41592600
= 0.314159 × 102
= 0.314159E2
= 0.314159e2

Quick Look: cycles per second to radians per second

cycle per second1 c.p.s.2 c.p.s.3 c.p.s.4 c.p.s.5 c.p.s.6 c.p.s.7 c.p.s.8 c.p.s.9 c.p.s.10 c.p.s.11 c.p.s.12 c.p.s.13 c.p.s.14 c.p.s.15 c.p.s.16 c.p.s.17 c.p.s.18 c.p.s.19 c.p.s.20 c.p.s.21 c.p.s.22 c.p.s.23 c.p.s.24 c.p.s.25 c.p.s.26 c.p.s.27 c.p.s.28 c.p.s.29 c.p.s.30 c.p.s.31 c.p.s.32 c.p.s.33 c.p.s.34 c.p.s.35 c.p.s.36 c.p.s.37 c.p.s.38 c.p.s.39 c.p.s.40 c.p.s.41 c.p.s.42 c.p.s.43 c.p.s.44 c.p.s.45 c.p.s.46 c.p.s.47 c.p.s.48 c.p.s.49 c.p.s.50 c.p.s.51 c.p.s.52 c.p.s.53 c.p.s.54 c.p.s.55 c.p.s.56 c.p.s.57 c.p.s.58 c.p.s.59 c.p.s.60 c.p.s.61 c.p.s.62 c.p.s.63 c.p.s.64 c.p.s.65 c.p.s.66 c.p.s.67 c.p.s.68 c.p.s.69 c.p.s.70 c.p.s.71 c.p.s.72 c.p.s.73 c.p.s.74 c.p.s.75 c.p.s.76 c.p.s.77 c.p.s.78 c.p.s.79 c.p.s.80 c.p.s.81 c.p.s.82 c.p.s.83 c.p.s.84 c.p.s.85 c.p.s.86 c.p.s.87 c.p.s.88 c.p.s.89 c.p.s.90 c.p.s.91 c.p.s.92 c.p.s.93 c.p.s.94 c.p.s.95 c.p.s.96 c.p.s.97 c.p.s.98 c.p.s.99 c.p.s.100 c.p.s.
radian per second6.2831852 rad/s12.5663704 rad/s18.8495556 rad/s25.1327408 rad/s31.415926 rad/s37.6991112 rad/s43.9822964 rad/s50.2654816 rad/s56.5486668 rad/s62.831852 rad/s69.1150372 rad/s75.3982224 rad/s81.6814076 rad/s87.9645928 rad/s94.247778 rad/s100.5309632 rad/s106.8141484 rad/s113.0973336 rad/s119.3805188 rad/s125.663704 rad/s131.9468892 rad/s138.2300744 rad/s144.5132596 rad/s150.7964448 rad/s157.07963 rad/s163.3628152 rad/s169.6460004 rad/s175.9291856 rad/s182.2123708 rad/s188.495556 rad/s194.7787412 rad/s201.0619264 rad/s207.3451116 rad/s213.6282968 rad/s219.911482 rad/s226.1946672 rad/s232.4778524 rad/s238.7610376 rad/s245.0442228 rad/s251.327408 rad/s257.6105932 rad/s263.8937784 rad/s270.1769636 rad/s276.4601488 rad/s282.743334 rad/s289.0265192 rad/s295.3097044 rad/s301.5928896 rad/s307.8760748 rad/s314.15926 rad/s320.4424452 rad/s326.7256304 rad/s333.0088156 rad/s339.2920008 rad/s345.575186 rad/s351.8583712 rad/s358.1415564 rad/s364.4247416 rad/s370.7079268 rad/s376.991112 rad/s383.2742972 rad/s389.5574824 rad/s395.8406676 rad/s402.1238528 rad/s408.407038 rad/s414.6902232 rad/s420.9734084 rad/s427.2565936 rad/s433.5397788 rad/s439.822964 rad/s446.1061492 rad/s452.3893344 rad/s458.6725196 rad/s464.9557048 rad/s471.23889 rad/s477.5220752 rad/s483.8052604 rad/s490.0884456 rad/s496.3716308 rad/s502.654816 rad/s508.9380012 rad/s515.2211864 rad/s521.5043716 rad/s527.7875568 rad/s534.070742 rad/s540.3539272 rad/s546.6371124 rad/s552.9202976 rad/s559.2034828 rad/s565.486668 rad/s571.7698532 rad/s578.0530384 rad/s584.3362236 rad/s590.6194088 rad/s596.902594 rad/s603.1857792 rad/s609.4689644 rad/s615.7521496 rad/s622.0353348 rad/s628.31852 rad/s

The cycle per second was a once-common English name for the unit of frequency now known as the hertz. The plural form was typically used, often written cycles per second, cycles/second, c.p.s., c/s, ~, or, ambiguously, just cycles. The term comes from the fact that sound waves have a frequency measurable in their number of vibrations, or cycles, per second.

Name of unitSymbolDefinitionRelation to SI unitsUnit System
cycle per secondc.p.s.

≡ 1 Hz

≡ 1 Hz

Angular frequency

conversion table

cycles per secondradians per secondcycles per secondradians per second
1≈ 6.28318526≈ 37.6991112
2≈ 12.56637047≈ 43.9822964
3≈ 18.84955568≈ 50.2654816
4≈ 25.13274089≈ 56.5486668
5≈ 31.41592610≈ 62.831852

The radian per second (symbol: rad·s−1 or rad/s) is the SI unit of rotational speed (angular velocity), commonly denoted by the Greek letter ω (omega). The radian per second is also the unit of angular frequency. The radian per second is defined as the change in the orientation of an object, in radians, every second.

Name of unitSymbolDefinitionRelation to SI unitsUnit System
radian per secondrad/s

≡ 1 Hz / 2π

≈ 0.159155 Hz

Angular frequency

conversion table

radians per secondcycles per secondradians per secondcycles per second
1≈ 0.159154945806796≈ 0.95492967484072
2≈ 0.318309891613577≈ 1.1140846206475
3≈ 0.477464837420368≈ 1.2732395664543
4≈ 0.636619783227149≈ 1.4323945122611
5≈ 0.7957747290339310≈ 1.5915494580679

Conversion table

cycles per secondradians per second
1≈ 6.2831852
0.1591549≈ 1

Legend

SymbolDefinition
exactly equal
approximately equal to
=equal to
digitsindicates that digits repeat infinitely (e.g. 8.294 369 corresponds to 8.294 369 369 369 369 …)