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

Degrees per Second (°/s) and Radians per Second (Radians per Second) are both units of frequency. With the conversion form below, you can effortlessly and accurately convert degrees per second to radians per second. This free online calculator tool makes it simple and easy to perform the conversion from °/s unit to the Radians per Second unit.

Degrees per Second to Radians per Second conversion

°/s
Radians per Second

Degrees per Second to Radians per Second Conversion Formula

One Degrees per Second is equal to 0.01745329252 Radians per Second.

Formula: 1 °/s = 0.01745329252 Radians per Second

By using this conversion factor, you can easily convert any frequency measurement from degrees per second unit to radians per second unit with precision.

How to Convert °/s to Radians per Second?

Converting from °/s to Radians per Second is a straightforward process. Follow these steps to ensure accurate conversions from degrees per second to radians per second:

  • Select the Degrees per Second Value: Start by determining the degrees per second (°/s) value you want to convert into radians per second (Radians per Second). This is your starting point.
  • Multiply by the Conversion Factor: To calculate degrees per second to equivalent radians per second amount, multiply the selected °/s value by 0.01745329252.
  • Illustration of Multiplication:
  • 1 °/s = 0.01745329252 Radians per Second
  • 10 °/s = 0.174532925199 Radians per Second
  • 100 °/s = 1.745329252 Radians per Second
  • Find the Conversion Result: The result of this multiplication is your converted value in radians per second unit. This represents the same frequency but in a different unit.
  • Save Your Radians per Second Value: After converting, remember to save the result. This value represents the frequency you initially measured, now expressed in radians per seconds.
  • Alternative Method – Division: If you prefer not to multiply, you can achieve the same conversion by dividing the degrees per second value by 57.295779513. This alternative method also gives you the correct frequency in radians per seconds.
  • Illustration of Division:
  • Radians per Second = °/s ÷ 57.295779513

What is Frequency?

Frequency is a physical quantity that measures the number of complete cycles, oscillations, or repetitions occurring in a unit of time. It is commonly expressed in hertz (Hz), where one hertz equals one cycle per second.

Frequency is widely used in electronics, telecommunications, acoustics, mechanical engineering, power systems, signal processing, and scientific research to describe periodic events and wave behavior.

What is Degrees per Second?

A degree per second (°/s or deg/s) expresses rotational speed as the number of degrees rotated per second. One full rotation equals 360 degrees. The unit appears in practical engineering applications, navigation systems, and industrial equipment where intuitive understanding matters more than mathematical elegance. Roboticists, aircraft designers, and manufacturing engineers often reference degree-per-second speeds because the scale produces manageable numbers and relates directly to physical observations. Degrees per second is less common in theoretical physics but widely used in applied engineering, equipment specifications, and technical documentation where communicating with non-specialists is important.

What is Radians per Second?

A radian per second (rad/s) is a unit of angular frequency expressing how many radians of rotation occur per second. It is the standard unit in physics and engineering for describing rotational motion, oscillations, and wave phenomena. One complete rotation equals 2π radians (approximately 6.28 radians). Radians per second appears in mechanical engineering specifications for motor speed, in acoustics for vibration analysis, and in signal processing for describing periodic signals. The radian-based measurement integrates naturally with calculus and differential equations, making it the preferred unit in advanced physics, control systems, and scientific research where mathematical precision is required.

Degrees per Second to Radians per Second Examples

  • Example 1:

    Convert 0.2 Degrees per Second frequency to Radians per Second unit.

    Solution:

    We know that one Degrees per Second is equivalent to 0.01745329252 Radians per Second.

    Therefore,

    0.2 °/s = 0.2 x 0.01745329252 Radians per Second.

    0.2 °/s = 0.003490658504 Radians per Second.

    Hence, 0.2 Degrees per Second is approximately equal to 0.003490658504 Radians per Second.

  • Example 2:

    Convert 6 Degrees per Second frequency to Radians per Second unit.

    Solution:

    We know that one Degrees per Second is equivalent to 0.01745329252 Radians per Second.

    Therefore,

    6 °/s = 6 x 0.01745329252 Radians per Second.

    6 °/s = 0.10471975512 Radians per Second.

    Hence, 6 Degrees per Second is approximately equal to 0.10471975512 Radians per Second.

Frequently Asked Questions

How do you convert °/s to Radians per Second formula?

The main formula for the conversion of the °/s value to Radians per Second amount is to multiply the °/s value by 0.01745329252.

There are 0.01745329252 Radians per Second in 1 Degrees per Second.To convert from Degrees per Second to Radians per Second, multiply your figure by 0.01745329252 (or divide by 57.295779513).

What is the relation between Degrees per Second and Radians per Second?

The relationship between Degrees per Second and Radians per Second is given as follows: 1 °/s = 0.01745329252 Radians per Second

What is the value of 1 Degrees per Second in equivalent Radians per Second?

1 Degrees per Second frequency is equivalent to 0.01745329252 Radians per Second frequency.

What is the degrees-per-second in radians-per-second?

1 degrees-per-second equals 0.01745329252 radians-per-seconds.

What is the value of 15 Degrees per Second in Radians per Seconds?

We know that 1 Degrees per Second is equal to 0.01745329252 Radians per Second, multiply 15 by 0.01745329252 Radians per Second. Therefore, 15 Degrees per Second = 15 x 0.01745329252 Radians per Second, 15 °/s = 0.261799387799 Radians per Second. Hence, the value of 15 Degrees per Second in Radians per Second is 0.261799387799 Radians per Second.

What Frequency is 1 Radians per Second?

The Frequency of 1 Radians per Second spans 57.295779513 Degrees per Second.

1 °/s how much radians-per-second?

1 Degrees per Second (°/s) corresponds to 0.01745329252 Radians per Second (Radians per Second).