Hertz to Degrees Per Second (Hz to °/s)

1 hertz equals 360 degrees per second exactly.

How to convert hertz to degrees per second

To convert hertz to degrees per second, multiply the number of hertz by 360. This factor is exact. To go the other way, multiply degrees per second by 0.002777777778 (rounded).

degrees per second = hertz × 360

Example: 10 hertz = 3,600 degrees per second.

About these units

Hertz (Hz)

Metric (SI)Current unit

The SI unit of frequency: one cycle per second. Named after Heinrich Hertz.

Heinrich Rudolf Hertz (1857 to 1894) was a German physicist who, in experiments between 1886 and 1889, produced and detected radio waves with a spark-gap transmitter and a loop receiver. He showed that they travel at the speed of light and can be polarised, reflected and refracted, confirming Maxwell's theory. Asked about uses for them, he is said to have replied, Nothing, I guess. The International Electrotechnical Commission established the name hertz in 1935, and the CGPM adopted it in 1960, replacing cycles per second.

One hertz is one cycle per second, equal to s to the minus one. A clock ticking once a second runs at 1 Hz, a human heart at rest beats at around 1.2 Hz, and young ears hear roughly 20 Hz to 20,000 Hz. The SI treats cycle itself as not a unit, and the hertz applies only to periodic events, whereas the becquerel counts random radioactive decays, even though both are one per second. The second is now defined by fixing the caesium frequency at exactly 9,192,631,770 hertz.

The hertz is the reference unit for frequency on this site.

Sources: Wikipedia: Hertz; Wikipedia: Heinrich Hertz; BIPM: SI Brochure, 9th edition

Degree Per Second (°/s)

ScientificCurrent unit

One 360th of a hertz: one full turn in 360 seconds. A measure of rotation rate.

Motion sensors and camera gear tend to report turning speed in degrees per second, a unit that people can picture more readily than radians. Three-axis gyroscopes in phones, tablets and game controllers measure the rate of rotation in roll, pitch and yaw, and the rate is commonly given in these degrees. A full turn is 360 degrees, so a device spinning once each second registers 360 degrees per second.

Converting to frequency is a division by 360. One degree per second is 1/360 hertz, about 0.002778 Hz, the figure used here. In terms of angular velocity it equals pi divided by 180 rad/s, about 0.01745, and 6 degrees per second equals one revolution per minute. Degrees per second are not an SI unit, though the degree itself is accepted for use alongside the SI.

1 degree per second = 0.002777777778 hertz (approximately).

Sources: Wikipedia: Gyroscope; Wikipedia: Angular velocity; Wikipedia: Revolutions per minute

Related conversions

See all frequency units.