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.
The unit “degree per second” offers a fascinating glimpse into the world of rotational motion. It’s primarily used to measure angular speed, telling us how quickly an object rotates around an axis. From the spinning blades of a helicopter to the rotation of planets, this unit plays a crucial role in understanding dynamic systems in both engineering and astrophysics.
Interestingly, when dealing with robots or automotive steering systems, precise turns and rotations are often measured in degrees per second to ensure accuracy and safety. Beyond earthbound applications, spacecraft rely on this measurement for controlled maneuvers, crucial for navigation and maintaining orientation in the vast expanse of space. The humble degree per second significantly impacts a wide array of technologies that shape our daily experiences.
| Radians per second | Degrees per second |
|---|---|
0
rad/s
|
0
deg/s
|
0.1
rad/s
|
5.72958
deg/s
|
0.2
rad/s
|
11.45916
deg/s
|
0.3
rad/s
|
17.18873
deg/s
|
0.4
rad/s
|
22.91831
deg/s
|
0.5
rad/s
|
28.64789
deg/s
|
0.6
rad/s
|
34.37747
deg/s
|
0.7
rad/s
|
40.10705
deg/s
|
0.8
rad/s
|
45.83662
deg/s
|
0.9
rad/s
|
51.5662
deg/s
|
1
rad/s
|
57.29578
deg/s
|
1.1
rad/s
|
63.02536
deg/s
|
1.2
rad/s
|
68.75494
deg/s
|
1.3
rad/s
|
74.48451
deg/s
|
1.4
rad/s
|
80.21409
deg/s
|
1.5
rad/s
|
85.94367
deg/s
|
1.6
rad/s
|
91.67325
deg/s
|
1.7
rad/s
|
97.40283
deg/s
|
1.8
rad/s
|
103.1324
deg/s
|
1.9
rad/s
|
108.86198
deg/s
|
2
rad/s
|
114.59156
deg/s
|
2.1
rad/s
|
120.32114
deg/s
|
2.2
rad/s
|
126.05071
deg/s
|
2.3
rad/s
|
131.78029
deg/s
|
2.4
rad/s
|
137.50987
deg/s
|
2.5
rad/s
|
143.23945
deg/s
|
2.6
rad/s
|
148.96903
deg/s
|
2.7
rad/s
|
154.6986
deg/s
|
2.8
rad/s
|
160.42818
deg/s
|
2.9
rad/s
|
166.15776
deg/s
|
3
rad/s
|
171.88734
deg/s
|
3.1
rad/s
|
177.61692
deg/s
|
3.2
rad/s
|
183.34649
deg/s
|
3.3
rad/s
|
189.07607
deg/s
|
3.4
rad/s
|
194.80565
deg/s
|
3.5
rad/s
|
200.53523
deg/s
|
3.6
rad/s
|
206.26481
deg/s
|
3.7
rad/s
|
211.99438
deg/s
|
3.8
rad/s
|
217.72396
deg/s
|
3.9
rad/s
|
223.45354
deg/s
|
4
rad/s
|
229.18312
deg/s
|
4.1
rad/s
|
234.9127
deg/s
|
4.2
rad/s
|
240.64227
deg/s
|
4.3
rad/s
|
246.37185
deg/s
|
4.4
rad/s
|
252.10143
deg/s
|
4.5
rad/s
|
257.83101
deg/s
|
4.6
rad/s
|
263.56059
deg/s
|
4.7
rad/s
|
269.29016
deg/s
|
4.8
rad/s
|
275.01974
deg/s
|
4.9
rad/s
|
280.74932
deg/s
|
5
rad/s
|
286.4789
deg/s
|
5.1
rad/s
|
292.20848
deg/s
|
5.2
rad/s
|
297.93805
deg/s
|
5.3
rad/s
|
303.66763
deg/s
|
5.4
rad/s
|
309.39721
deg/s
|
5.5
rad/s
|
315.12679
deg/s
|
5.6
rad/s
|
320.85637
deg/s
|
5.7
rad/s
|
326.58594
deg/s
|
5.8
rad/s
|
332.31552
deg/s
|
5.9
rad/s
|
338.0451
deg/s
|
6
rad/s
|
343.77468
deg/s
|
6.1
rad/s
|
349.50426
deg/s
|
6.2
rad/s
|
355.23383
deg/s
|
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