Table of Contents
Both “Hertz” and “radian per second” are units of frequency and angular velocity, respectively. Let’s delve into each:
Hertz (Hz)
Hertz is the unit of frequency in the International System of Units (SI) and is defined as one cycle per second.
Usage: It is used to describe the number of cycles a periodic function completes in one second. This can apply to any periodic event, but it’s most commonly used with electrical signals and sound waves.
Radian per Second (rad/s)
Radian per second is the unit of angular velocity in the SI system. It’s used to describe the rate of rotation. Specifically, it indicates how many radians a rotating object covers per unit of time.
How to calculate rad/sec from hertz
1 Hz = 2π rad/s = 6.2831853 rad/s
or
1 rad/s = 1/2π Hz = 0.1591549 Hz
Hertz to rad/s formula
ω(rad/s) = 2π×f(Hz)
Example – Find angular velocity in rad/s from frequency of 300 hertz:
Ans. ω(rad/s) = 2π×300Hz = 1884.956 rad/s
Also Read:
Hertz to rad/sec conversion table
| Hertz (Hz) |
Radian per second (rad/s) |
| 0 Hz | 0 rad/s |
| 1 Hz | 6.28 rad/s |
| 2 Hz | 12.57 rad/s |
| 3 Hz | 18.85 rad/s |
| 4 Hz | 25.13 rad/s |
| 5 Hz | 31.42 rad/s |
| 6 Hz | 37.70 rad/s |
| 7 Hz | 43.98 rad/s |
| 8 Hz | 50.27 rad/s |
| 9 Hz | 56.55 rad/s |
| 10 Hz | 62.83 rad/s |
| 20 Hz | 125.66 rad/s |
| 30 Hz | 188.50 rad/s |
| 40 Hz | 251.33 rad/s |
| 50 Hz | 314.16 rad/s |
| 60 Hz | 376.99rad/s |
| 70 Hz | 439.82rad/s |
| 80 Hz | 502.65rad/s |
| 90 Hz | 565.49rad/s |
| 100 Hz | 628.32rad/s |
| 200 Hz | 1256.64rad/s |
| 300 Hz | 1884.96rad/s |
| 400 Hz | 2513.27rad/s |
| 500 Hz | 3141.59rad/s |
| 600 Hz | 3769.91rad/s |
| 700 Hz | 4398.23rad/s |
| 800 Hz | 5026.55rad/s |
| 900 Hz | 5654.87rad/s |
| 1000 Hz | 6283.19rad/s |
| 2000 Hz | 12566.37rad/s |
| 3000 Hz | 18849.56rad/s |
| 4000 Hz | 25132.74rad/s |
| 5000 Hz | 31415.93rad/s |
| 6000 Hz | 37699.11rad/s |
| 7000 Hz | 43982.30rad/s |
| 8000 Hz | 50265.48rad/s |
| 9000 Hz | 56548.67rad/s |
| 10000 Hz | 62831.85rad/s |
FAQs on Hertz to radian/sec conversion
How do you convert Hz to radians?
To convert Hz to radians per second, you multiply the frequency in Hz by 2π. The formula is: radian/second = Hz x 2π
What is the conversion of 1 Hz?
1 Hz, when converted to radians per second, is 2π rad/s.
Is radians per second equal to Hz?
No, radians per second and Hz are not equivalent. However, they are related by a factor of 2π.
What is 1 hz per second?
The term 1 hz per second is redundant or incorrect. Hertz (Hz) already means cycles per second. So, 1 Hz is simply 1 cycle per second.
Is 1 Hz a second?
No, 1 Hz represents a frequency of 1 cycle per second. It's a measure of frequency, not time.
What is 1 radian per second?
1 radian per second (rad/s) is an angular velocity indicating that an object completes 1 radian of rotation in one second.
