Degrees per Second (°/s)	Radians per Second (rad/s)
1 °/s	0.01745 rad/s
2 °/s	0.03491 rad/s
5 °/s	0.08727 rad/s
10 °/s	0.1745 rad/s
25 °/s	0.4363 rad/s
50 °/s	0.8727 rad/s
100 °/s	1.7453 rad/s
250 °/s	4.3633 rad/s
500 °/s	8.7266 rad/s
1000 °/s	17.4533 rad/s

Convert Degrees per Second to Radians per Second

Convert degrees per second to radians per second (°/s to rad/s) with our instant calculator. 1 °/s = 0.017453 rad/s. Includes exact formula and reference tables.

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

1 Degrees per Second (°/s) is equal to 0.017453 Radians per Second (rad/s). Multiply the degrees per second value by 0.01745329252

Quick Answer 1 °/s = 0.017453 rad/s

Formula rad/s = °/s × 0.01745329252

Inverse Factor 1 rad/s = 57.29578 °/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 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).

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).

Need to convert in the opposite direction? Visit our Convert Radians per Second to Degrees per Second (rad/s to °/s) calculator (1 rad/s = 57.29578 °/s).

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

Convert 5 Degrees per Second to Radians per Second: Applying the formula (rad/s = °/s × 0.01745329252): starting with 5 °/s, multiply the degrees per second value by 0.01745329252 to get 0.0873 rad/s.
Convert 10 Degrees per Second to Radians per Second: Applying the formula (rad/s = °/s × 0.01745329252): starting with 10 °/s, multiply the degrees per second value by 0.01745329252 to get 0.1745 rad/s.
Convert 50 Degrees per Second to Radians per Second: Applying the formula (rad/s = °/s × 0.01745329252): starting with 50 °/s, multiply the degrees per second value by 0.01745329252 to get 0.8727 rad/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 degrees per second to radians per second.

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

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

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

To convert degrees per second (°/s) to radians per second (rad/s), use the formula: rad/s = °/s × 0.01745329252. Multiply the degrees per second value by 0.01745329252. For example, 10 °/s equals 0.1745 rad/s.

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

To convert in the reverse direction from radians per second (rad/s) to degrees per second (°/s), use the inverse formula: °/s = rad/s × 57.29577951. Multiply the radians per second value by 57.29577951 (1 rad/s = 57.29578 °/s).

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

Both degrees per second and radians per second measure frequency. 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). 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).

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).