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radians per second to degrees per second conversion

radians per second to degrees per second conversion table

radians per second (rad/s)degrees per second (deg/s)
00
157.295779513082
2114.59155902616
3171.88733853925
4229.18311805233
5286.47889756541
6343.77467707849
7401.07045659158
8458.36623610466
9515.66201561774
10572.95779513082
201145.9155902616
301718.8733853925
402291.8311805233
502864.7889756541
603437.7467707849
704010.7045659158
804583.6623610466
905156.6201561774
1005729.5779513082
100057295.779513082

How to convert radians per second to degrees per second

1 radians per second (rad/s) is equal to 57.2957795 degrees per second (deg/s). Conversely, 1 degrees per second (deg/s) is equal to 1.745329×10^-2 radians per second (rad/s).

See below section for step by step unit conversion with formulas and explanations. Please refer to the table below for a list of all the degrees per second to other unit conversions.

Step by step guide to convert radians per second to degrees per second

Converting units

We know that 1 circle is 2πrad2\pi rad or 360 degrees

2πrad=360°2\pi rad = 360 \degree

Solving the equation to degrees per second

1rad/s=3602πdeg/s=57.2957795deg/s1 rad/s = \frac{360}{2\pi}deg/s = 57.2957795 deg/s

or

1degress/s=2π360rad/s=0.01745329251rad/s1 degress/s = \frac{2\pi}{360}rad/s = 0.01745329251 rad/s

Wikipedia page for Radian
Wikipedia page for Degree

What is radians per second?

The radians per second is a measurement used for defining angular velocity or rotational speed. This is the standard SI unit for measuring angular velocity. Unit of radians per second is rad/srad/s or rad∗s−1rad*s^{-1}.

1 rad∗s−1=1ω=3602πdeg∗s−1=12πHz=0.159155Hz1\ rad*s^{-1} = 1\omega = \frac{360}{2\pi} deg*s^{-1} = \frac{1}{2\pi} Hz = 0.159155 Hz

Wikipedia page for explanation on Radian per second

What is degrees per second?

The degrees per second is a measurement used for defining angular velocity. This is not the standard unit for measuring angular velocity. It is rad/s which is a SI unit. Unit of degrees per second is deg⁡/s\deg/s or deg⁡∗s−1\deg*s^{-1}.

1 degs=2π∗ω360=2π∗rad∗s−13601\ \frac{deg}{s} = \frac{2\pi*\omega}{360} = \frac{2\pi*rad*s^{-1}}{360}

Complete radians per second conversion table

Enter # of radians per second
Convert 1 rad/s to other unitsResult
radians per second to millihertz (rad/s to mHz)159.1549430919
radians per second to hertz (rad/s to Hz)0.1591549430919
radians per second to kilohertz (rad/s to kHz)0.0001591549430919
radians per second to megahertz (rad/s to MHz)1.591549430919e-7
radians per second to gigahertz (rad/s to GHz)1.591549430919e-10
radians per second to terahertz (rad/s to THz)1.591549430919e-13
radians per second to rotations per minute (rad/s to rpm)9.5492965855137
radians per second to degrees per second (rad/s to deg/s)57.295779513082

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