Kilohertz to Degrees Per Second (kHz to °/s)

1 kilohertz equals 360,000 degrees per second exactly.

How to convert kilohertz to degrees per second

To convert kilohertz to degrees per second, multiply the number of kilohertz by 360,000. This factor is exact. To go the other way, multiply degrees per second by 0.000002777777778 (rounded).

degrees per second = kilohertz × 360,000

Example: 10 kilohertz = 3,600,000 degrees per second.

About these units

Kilohertz (kHz)

Metric (SI)Current unit

1,000 hertz. AM radio stations are tuned in kilohertz and audio is sampled at 44.1 kHz.

Older radio operators called it the kilocycle. Before the CGPM adopted the hertz in 1960, thousands of cycles per second were written kc/s, and the popular press only switched to kilohertz in the late 1960s. The name changed, but the number on the dial did not.

A kilohertz is 1,000 hertz, a range that covers audible sound and medium-wave radio. Medium wave runs from 531 to 1602 kHz in Europe, Asia and Africa with 9 kHz channel spacing, and from 530 to 1700 kHz in the Americas with 10 kHz spacing. Audio engineers use it for sampling rates: 44.1 kHz comes from the Compact Disc, which Sony used from 1979, and the rate was originally chosen so digital audio could fit on video tape for both PAL and NTSC. Because sampling must exceed twice the highest frequency, 44.1 kHz comfortably covers hearing up to 20 kHz.

1 kilohertz = 1,000 hertz (exactly).

Sources: Wikipedia: Medium wave; Wikipedia: 44,100 Hz; Wikipedia: Kilohertz

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.