Frequency to Radians Per Second Calculator

Calculate Radians Per Second (ω)

Formula

The formula to calculate the Radians Per Second (ω) from frequency (f) is:

\[ \omega = 2\pi f \]

Where:

What is Frequency to Radians Per Second?

Frequency to radians per second is a conversion that translates the number of cycles per second (frequency) into the angular velocity in radians per second. This is particularly useful in fields such as physics and engineering, where angular velocity is a more convenient measure for rotational systems. The conversion is straightforward because one complete cycle is equivalent to 2π radians.

Example Calculation

Let's assume the following value for Frequency (f):

Using the formula to calculate the Radians Per Second (ω):

\[ \omega = 2\pi \times 50 = 100\pi \approx 314.16 \text{ rad/s} \]

The Radians Per Second (ω) is approximately 314.16 rad/s.