^{\circ}\text{/s}

degree per second

Angular speedexact by definition

The degree per second is $\pi/180$ radians per second, an exact definition with an irrational decimal value of about 0.017453 rad/s. It is used where the rotation is naturally read on a protractor or a servo scale: gimbals, pan-tilt heads, radar sweeps and instrument rate displays.

Watch out: Convert to rad/s before entering an angular speed into any dynamics formula. Kinetic energy $\tfrac{1}{2}I\omega^2$ and the relation $v = \omega r$ are radian expressions and give nonsense if fed degrees.

1

^{\circ}\text{/s}

0.017453293

\text{rad/s}

One degree per second in every angular speed unit

3,600	degree per hour (°/h)
240	revolution per day (rev/d)
60	degree per minute (°/min)
17.4533	milliradian per second (mrad/s)
10	revolution per hour (rev/h)
1.0472	radian per minute (rad/min)
1	degree per second (°/s)this unit
0.166667	revolution per minute (rpm)
0.0174533	radian per second (rad/s)
0.00277778	revolution per second (rev/s)
0.000166667	thousand revolutions per minute (krpm)

Solvers that use angular speed

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