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By Shailendra Singh
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Updated on 5 Mar 2025, 16:54 IST
A radian per second is a measure of angular velocity. It represents how fast an object rotates or revolves. If an object rotates one radian in one second, its angular velocity is one radian per second.
Hertz is the unit of frequency in the International System of Units (SI). It measures how often something happens within a second. In most contexts, it refers to how many cycles a periodic function completes in one second.
1 Hz = 2π rad/s = 6.2831853 rad/s
or
1 rad/s = 1/2π Hz = 0.1591549 Hz
f(Hz) = ω(rad/s) / 2π
Example- Calculate frequency in hertz from angular velocity of 300 rad/s
Ans. f(Hz) = 300rad/s / 2π = 47.75 Hz
| Radian per second (rad/s) | Hertz (Hz) |
| 0 rad/s | 0 Hz |
| 1 rad/s | 0.1592 Hz |
| 2 rad/s | 0.3183 Hz |
| 3 rad/s | 0.4775 Hz |
| 4 rad/s | 0.6366 Hz |
| 5 rad/s | 0.7958 Hz |
| 6 rad/s | 0.9549 Hz |
| 7 rad/s | 1.1141 Hz |
| 8 rad/s | 1.2732 Hz |
| 9 rad/s | 1.4324 Hz |
| 10 rad/s | 1.5915 Hz |
| 20 rad/s | 3.1831 Hz |
| 30 rad/s | 4.7746 Hz |
| 40 rad/s | 6.3662 Hz |
| 50 rad/s | 7.9577 Hz |
| 60rad/s | 9.5493 Hz |
| 70rad/s | 11.1408 Hz |
| 80rad/s | 12.7324 Hz |
| 90rad/s | 14.3239 Hz |
| 100rad/s | 15.9155 Hz |
| 200rad/s | 31.8310 Hz |
| 300rad/s | 47.7465 Hz |
| 400rad/s | 63.6620 Hz |
| 500rad/s | 79.5775 Hz |
| 600rad/s | 95.493 Hz |
| 700rad/s | 111.4085 Hz |
| 800rad/s | 127.3240 Hz |
| 900rad/s | 143.2394 Hz |
| 1000rad/s | 159.1549 Hz |
No, Hz (hertz) and rad/sec (radians per second) are both units of frequency, but they are not equivalent. Hz measures the number of cycles per second, while rad/sec measures the angular frequency or the rate of change of the phase of a sinusoidal waveform.
No, hertz represents the number of cycles per second. A frequency of 1 hertz means one cycle occurs every second, but hertz itself is not equal to seconds.
1 Hz to radians per second, 1 Hz=2π rad/sec.
In terms of radians per second, 60 Hz=120π rad/sec or approximately 377.99 rad/sec.
1 hertz represents 1 cycle per second, and a full cycle in terms of radians is 2π radians. So, 1 Hz=2π rad/sec.
1 radian per second means that in one second, something has moved through an angle of 1 radian. It's a measure of angular speed.
Hertz (Hz) is the unit of frequency in the International System of Units (SI). It is used to represent the number of cycles per second.