Radian per second is a unit of angular velocity, commonly used in physics and engineering to describe rotational motion. One fascinating aspect of this unit is its connection to everyday observations, such as how the Earth rotates. The Earth spins at an angular velocity of about 7.29 x 10^-5 rad/s, a measurement that reflects both time and spatial dimensions harmoniously. Unlike degrees per second, which may vary with context, radians per second universally link angle to time via the constant π, making it a fundamental choice in scientific calculations.
Additionally, radian per second is pivotal in the world of oscillations and wave motion. For example, the frequency of a simple harmonic oscillator, like a swinging pendulum, can be directly analyzed using radians per second, shedding light on the intrinsic natural frequency of systems. These conversions are crucial in designing everything from clock mechanisms to advanced aerospace technology, demonstrating the profound impact this unit has across various fields.
Hertz (Hz), the unit of frequency, measures the number of cycles per second. It’s named after Heinrich Hertz, the physicist who first proved the existence of electromagnetic waves. In 1888, his groundbreaking experiments paved the way for the development of radio, television, and other communication technologies. Fascinatingly, the concept of frequency extends well beyond sound — it’s also crucial in physics, describing phenomena such as light waves and even the rotation of electron orbitals.
In our everyday lives, Hertz is everywhere. When you listen to music, the pitch you hear is influenced by the frequency in Hertz, with middle C on a piano vibrating at about 261.6 Hz. Even your household electrical system operates at frequencies of 50 or 60 Hz, depending on your region. This widespread influence underscores how integral Hertz is to both technology and daily experiences.
| Radians per second | Hertz |
|---|---|
0
rad/s
|
0
Hz
|
0.1
rad/s
|
0.0159155
Hz
|
0.2
rad/s
|
0.031831
Hz
|
0.3
rad/s
|
0.0477465
Hz
|
0.4
rad/s
|
0.063662
Hz
|
0.5
rad/s
|
0.0795775
Hz
|
0.6
rad/s
|
0.095493
Hz
|
0.7
rad/s
|
0.111408
Hz
|
0.8
rad/s
|
0.127324
Hz
|
0.9
rad/s
|
0.143239
Hz
|
1
rad/s
|
0.159155
Hz
|
1.1
rad/s
|
0.17507
Hz
|
1.2
rad/s
|
0.190986
Hz
|
1.3
rad/s
|
0.206901
Hz
|
1.4
rad/s
|
0.222817
Hz
|
1.5
rad/s
|
0.238732
Hz
|
1.6
rad/s
|
0.254648
Hz
|
1.7
rad/s
|
0.270563
Hz
|
1.8
rad/s
|
0.286479
Hz
|
1.9
rad/s
|
0.302394
Hz
|
2
rad/s
|
0.31831
Hz
|
2.1
rad/s
|
0.334225
Hz
|
2.2
rad/s
|
0.350141
Hz
|
2.3
rad/s
|
0.366056
Hz
|
2.4
rad/s
|
0.381972
Hz
|
2.5
rad/s
|
0.397887
Hz
|
2.6
rad/s
|
0.413803
Hz
|
2.7
rad/s
|
0.429718
Hz
|
2.8
rad/s
|
0.445634
Hz
|
2.9
rad/s
|
0.461549
Hz
|
3
rad/s
|
0.477465
Hz
|
3.1
rad/s
|
0.49338
Hz
|
3.2
rad/s
|
0.509296
Hz
|
3.3
rad/s
|
0.525211
Hz
|
3.4
rad/s
|
0.541127
Hz
|
3.5
rad/s
|
0.557042
Hz
|
3.6
rad/s
|
0.572958
Hz
|
3.7
rad/s
|
0.588873
Hz
|
3.8
rad/s
|
0.604789
Hz
|
3.9
rad/s
|
0.620704
Hz
|
4
rad/s
|
0.63662
Hz
|
4.1
rad/s
|
0.652535
Hz
|
4.2
rad/s
|
0.668451
Hz
|
4.3
rad/s
|
0.684366
Hz
|
4.4
rad/s
|
0.700282
Hz
|
4.5
rad/s
|
0.716197
Hz
|
4.6
rad/s
|
0.732113
Hz
|
4.7
rad/s
|
0.748028
Hz
|
4.8
rad/s
|
0.763944
Hz
|
4.9
rad/s
|
0.779859
Hz
|
5
rad/s
|
0.795775
Hz
|
5.1
rad/s
|
0.81169
Hz
|
5.2
rad/s
|
0.827606
Hz
|
5.3
rad/s
|
0.843521
Hz
|
5.4
rad/s
|
0.859437
Hz
|
5.5
rad/s
|
0.875352
Hz
|
5.6
rad/s
|
0.891268
Hz
|
5.7
rad/s
|
0.907183
Hz
|
5.8
rad/s
|
0.923099
Hz
|
5.9
rad/s
|
0.939014
Hz
|
6
rad/s
|
0.95493
Hz
|
6.1
rad/s
|
0.970845
Hz
|
6.2
rad/s
|
0.986761
Hz
|
If you like the website, share it on social media.