radian per second | 1 rad/s | 2 rad/s | 3 rad/s | 4 rad/s | 5 rad/s | 6 rad/s | 7 rad/s | 8 rad/s | 9 rad/s | 10 rad/s | 11 rad/s | 12 rad/s | 13 rad/s | 14 rad/s | 15 rad/s | 16 rad/s | 17 rad/s | 18 rad/s | 19 rad/s | 20 rad/s | 21 rad/s | 22 rad/s | 23 rad/s | 24 rad/s | 25 rad/s | 26 rad/s | 27 rad/s | 28 rad/s | 29 rad/s | 30 rad/s | 31 rad/s | 32 rad/s | 33 rad/s | 34 rad/s | 35 rad/s | 36 rad/s | 37 rad/s | 38 rad/s | 39 rad/s | 40 rad/s | 41 rad/s | 42 rad/s | 43 rad/s | 44 rad/s | 45 rad/s | 46 rad/s | 47 rad/s | 48 rad/s | 49 rad/s | 50 rad/s | 51 rad/s | 52 rad/s | 53 rad/s | 54 rad/s | 55 rad/s | 56 rad/s | 57 rad/s | 58 rad/s | 59 rad/s | 60 rad/s | 61 rad/s | 62 rad/s | 63 rad/s | 64 rad/s | 65 rad/s | 66 rad/s | 67 rad/s | 68 rad/s | 69 rad/s | 70 rad/s | 71 rad/s | 72 rad/s | 73 rad/s | 74 rad/s | 75 rad/s | 76 rad/s | 77 rad/s | 78 rad/s | 79 rad/s | 80 rad/s | 81 rad/s | 82 rad/s | 83 rad/s | 84 rad/s | 85 rad/s | 86 rad/s | 87 rad/s | 88 rad/s | 89 rad/s | 90 rad/s | 91 rad/s | 92 rad/s | 93 rad/s | 94 rad/s | 95 rad/s | 96 rad/s | 97 rad/s | 98 rad/s | 99 rad/s | 100 rad/s |
cycle per second | 0.1591549 c.p.s. | 0.3183099 c.p.s. | 0.4774648 c.p.s. | 0.6366198 c.p.s. | 0.7957747 c.p.s. | 0.9549297 c.p.s. | 1.1140846 c.p.s. | 1.2732396 c.p.s. | 1.4323945 c.p.s. | 1.5915495 c.p.s. | 1.7507044 c.p.s. | 1.9098593 c.p.s. | 2.0690143 c.p.s. | 2.2281692 c.p.s. | 2.3873242 c.p.s. | 2.5464791 c.p.s. | 2.7056341 c.p.s. | 2.8647890 c.p.s. | 3.0239440 c.p.s. | 3.1830989 c.p.s. | 3.3422539 c.p.s. | 3.5014088 c.p.s. | 3.6605638 c.p.s. | 3.8197187 c.p.s. | 3.9788736 c.p.s. | 4.1380286 c.p.s. | 4.2971835 c.p.s. | 4.4563385 c.p.s. | 4.6154934 c.p.s. | 4.7746484 c.p.s. | 4.9338033 c.p.s. | 5.0929583 c.p.s. | 5.2521132 c.p.s. | 5.4112682 c.p.s. | 5.5704231 c.p.s. | 5.7295780 c.p.s. | 5.8887330 c.p.s. | 6.0478879 c.p.s. | 6.2070429 c.p.s. | 6.3661978 c.p.s. | 6.5253528 c.p.s. | 6.6845077 c.p.s. | 6.8436627 c.p.s. | 7.0028176 c.p.s. | 7.1619726 c.p.s. | 7.3211275 c.p.s. | 7.4802825 c.p.s. | 7.6394374 c.p.s. | 7.7985923 c.p.s. | 7.9577473 c.p.s. | 8.1169022 c.p.s. | 8.2760572 c.p.s. | 8.4352121 c.p.s. | 8.5943671 c.p.s. | 8.7535220 c.p.s. | 8.9126770 c.p.s. | 9.0718319 c.p.s. | 9.2309869 c.p.s. | 9.3901418 c.p.s. | 9.5492967 c.p.s. | 9.7084517 c.p.s. | 9.8676066 c.p.s. | 10.0267616 c.p.s. | 10.1859165 c.p.s. | 10.3450715 c.p.s. | 10.5042264 c.p.s. | 10.6633814 c.p.s. | 10.8225363 c.p.s. | 10.9816913 c.p.s. | 11.1408462 c.p.s. | 11.3000012 c.p.s. | 11.4591561 c.p.s. | 11.6183110 c.p.s. | 11.7774660 c.p.s. | 11.9366209 c.p.s. | 12.0957759 c.p.s. | 12.2549308 c.p.s. | 12.4140858 c.p.s. | 12.5732407 c.p.s. | 12.7323957 c.p.s. | 12.8915506 c.p.s. | 13.0507056 c.p.s. | 13.2098605 c.p.s. | 13.3690154 c.p.s. | 13.5281704 c.p.s. | 13.6873253 c.p.s. | 13.8464803 c.p.s. | 14.0056352 c.p.s. | 14.1647902 c.p.s. | 14.3239451 c.p.s. | 14.4831001 c.p.s. | 14.6422550 c.p.s. | 14.8014100 c.p.s. | 14.9605649 c.p.s. | 15.1197199 c.p.s. | 15.2788748 c.p.s. | 15.4380297 c.p.s. | 15.5971847 c.p.s. | 15.7563396 c.p.s. | 15.9154946 c.p.s. |
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 unit | Symbol | Definition | Relation to SI units | Unit System |
---|---|---|---|---|
radian per second | rad/s | ≡ 1 Hz / 2π | ≈ 0.159155 Hz | Angular frequency |
radians per second | cycles per second | radians per second | cycles per second |
---|---|---|---|
1 | ≈ 0.15915494580679 | 6 | ≈ 0.95492967484072 |
2 | ≈ 0.31830989161357 | 7 | ≈ 1.1140846206475 |
3 | ≈ 0.47746483742036 | 8 | ≈ 1.2732395664543 |
4 | ≈ 0.63661978322714 | 9 | ≈ 1.4323945122611 |
5 | ≈ 0.79577472903393 | 10 | ≈ 1.5915494580679 |
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 unit | Symbol | Definition | Relation to SI units | Unit System |
---|---|---|---|---|
cycle per second | c.p.s. | ≡ 1 Hz | ≡ 1 Hz | Angular frequency |
cycles per second | radians per second | cycles per second | radians per second |
---|---|---|---|
1 | ≈ 6.2831852 | 6 | ≈ 37.6991112 |
2 | ≈ 12.5663704 | 7 | ≈ 43.9822964 |
3 | ≈ 18.8495556 | 8 | ≈ 50.2654816 |
4 | ≈ 25.1327408 | 9 | ≈ 56.5486668 |
5 | ≈ 31.415926 | 10 | ≈ 62.831852 |
radians per second | cycles per second |
---|---|
1 | ≈ 0.1591549 |
6.2831852 | ≈ 1 |
Symbol | Definition |
---|---|
≡ | exactly equal |
≈ | approximately equal to |
= | equal to |
digits | indicates that digits repeat infinitely (e.g. 8.294 369 corresponds to 8.294 369 369 369 369 …) |