Radians per Second (rad/s)	Degrees per Second (°/s)
1 rad/s	57.2958 °/s
2 rad/s	114.5916 °/s
5 rad/s	286.4789 °/s
10 rad/s	572.9578 °/s
25 rad/s	1432.39 °/s
50 rad/s	2864.79 °/s
100 rad/s	5729.58 °/s
250 rad/s	14323.94 °/s
500 rad/s	28647.89 °/s
1000 rad/s	57295.78 °/s

Convert Radians per Second to Degrees per Second

Convert radians per second to degrees per second (rad/s to °/s) with our instant calculator. 1 rad/s = 57.29578 °/s. Includes exact formula and reference tables.

How to Convert Radians per Second to Degrees per Second (rad/s to °/s)

1 Radians per Second (rad/s) is equal to 57.29578 Degrees per Second (°/s). Multiply the radians per second value by 57.29577951

Quick Answer 1 rad/s = 57.29578 °/s

Formula °/s = rad/s × 57.29577951

Inverse Factor 1 °/s = 0.017453 rad/s

Unit Definitions & Metrology Context

The standard SI unit of frequency is the hertz (Hz), defined as one complete cycle or oscillation per second (1 s⁻¹).

About Radians per Second (rad/s): Radians per Second (rad/s) is a unit in the Frequency measurement category. It is widely used in angular velocity (ω = 2πf). Relative to the frequency base unit, 1 rad/s equals 0.159155 Hertz (Hz).

About Degrees per Second (°/s): Degrees per Second (°/s) is a unit in the Frequency measurement category. It is widely used in gyroscopes & rotational tracking. Relative to the frequency base unit, 1 °/s equals 0.002778 Hertz (Hz).

Need to convert in the opposite direction? Visit our Convert Degrees per Second to Radians per Second (°/s to rad/s) calculator (1 °/s = 0.017453 rad/s).

Step-by-Step Worked Examples (rad/s to °/s)

Convert 5 Radians per Second to Degrees per Second: Applying the formula (°/s = rad/s × 57.29577951): starting with 5 rad/s, multiply the radians per second value by 57.29577951 to get 286.4789 °/s.
Convert 10 Radians per Second to Degrees per Second: Applying the formula (°/s = rad/s × 57.29577951): starting with 10 rad/s, multiply the radians per second value by 57.29577951 to get 572.9578 °/s.
Convert 50 Radians per Second to Degrees per Second: Applying the formula (°/s = rad/s × 57.29577951): starting with 50 rad/s, multiply the radians per second value by 57.29577951 to get 2864.789 °/s.

Popular Frequency Conversions

Hertz ⇄ Revolutions per Minute

Multiply Hertz by 60 to calculate Revolutions per Minute (RPM = Hz × 60).

Revolutions per Minute ⇄ Hertz

Divide RPM by 60 to find frequency in Hertz (Hz = RPM ÷ 60).

Gigahertz ⇄ Megahertz

1 gigahertz (GHz) contains exactly 1,000 megahertz (MHz).

Megahertz ⇄ Kilohertz

1 megahertz (MHz) contains exactly 1,000 kilohertz (kHz).

Radians per Second ⇄ Hertz

Divide radians per second by 2π (~6.283185) to calculate frequency in Hertz.

Frequently Asked Questions

Verified answers and formulas for converting radians per second to degrees per second.

How many degrees per second are in 1 radians per second?

There are 57.29578 degrees per second (°/s) in 1 radians per second (rad/s). Conversely, 1 degrees per second equals 0.017453 radians per second.

How do you convert radians per second to degrees per second?

To convert radians per second (rad/s) to degrees per second (°/s), use the formula: °/s = rad/s × 57.29577951. Multiply the radians per second value by 57.29577951. For example, 10 rad/s equals 572.9578 °/s.

How do I convert back from degrees per second to radians per second?

To convert in the reverse direction from degrees per second (°/s) to radians per second (rad/s), use the inverse formula: rad/s = °/s × 0.01745329252. Multiply the degrees per second value by 0.01745329252 (1 °/s = 0.017453 rad/s).

What is the difference between radians per second (rad/s) and degrees per second (°/s)?

Both radians per second and degrees per second measure frequency. Radians per Second (rad/s) is a unit in the Frequency measurement category. It is widely used in angular velocity (ω = 2πf). Relative to the frequency base unit, 1 rad/s equals 0.159155 Hertz (Hz). Degrees per Second (°/s) is a unit in the Frequency measurement category. It is widely used in gyroscopes & rotational tracking. Relative to the frequency base unit, 1 °/s equals 0.002778 Hertz (Hz).

How do you convert RPM to Hertz (Hz)?

To convert RPM (revolutions per minute) to Hertz (cycles per second), divide by 60. For example, a car engine idling at 600 RPM is spinning at 10 Hz (600 ÷ 60 = 10 Hz).