Angular Frequency Calculator

Are you curious to know about the frequency of vibrations and oscillations? If you're interested in physics, then you might know that the angular frequency is a measure of the rate of rotation of an object. But, calculating the angular frequency by hand can be a tedious and time-consuming process. That's where our calculator comes in! With our tool, you can easily determine the angular frequency of any vibrating or oscillating system, whether it be a pendulum, a spring, or a digital signal. Our user-friendly interface and simple inputs make it easy to use, even for those who are new to the concept. So, what are you waiting for? Give it a try and simplify your angular frequency calculations today.

Angular Frequency Calculator

Calculate the angular frequency of an oscillating system.

Angular Frequency Calculator Results
Spring Constant0
Angular Frequency0

Angular frequency is a fundamental concept in oscillatory motion, and average angular acceleration

is often associated with it. If youre working on problems involving angular motion, our angular acceleration calculator pairs well with the angular frequency calculator for a comprehensive understanding of angular dynamics.

How to Use the Angular Frequency Calculator

The Angular Frequency Calculator is a valuable tool for calculating the angular frequency of an oscillating system. It is widely used in physics and engineering to analyze and understand the behavior of vibrating or oscillating systems. By providing the necessary input values, you can quickly determine the angular frequency of a system.

Instructions for Utilizing the Calculator

To effectively use the Angular Frequency Calculator, follow these steps:

Input Fields:

  1. Frequency: Enter the frequency of the oscillating system in Hertz (Hz). Frequency represents the number of oscillations or cycles per second.
  2. Period: Input the period of the oscillating system in seconds. The period is the time taken for one complete oscillation or cycle.
  3. Amplitude: Specify the amplitude of the oscillation in meters. Amplitude refers to the maximum displacement of the system from its equilibrium position.
  4. Mass: Provide the mass of the object or system in kilograms (kg). Mass is the measure of the amount of matter present.
  5. Spring Constant: Enter the spring constant of the system in Newtons per meter (N/m). The spring constant quantifies the stiffness of the spring or the restoring force exerted by the system.

It is essential to input accurate values for the input fields to obtain accurate results.

Output Fields: The calculator provides the following output field:

  1. Angular Frequency: This field displays the calculated angular frequency of the oscillating system based on the provided inputs. Angular frequency represents the rate of change of the angular displacement per unit of time. It is measured in radians per second (rad/s).

Angular Frequency Calculator Formula

The calculation performed by the Angular Frequency Calculator can be represented by the following formula:

Angular Frequency = 2π × Frequency = 2π / Period = √(Spring Constant / Mass)

This formula calculates the angular frequency based on the input values provided. It takes into account the frequency, period, amplitude, mass, and spring constant of the system. The angular frequency determines the speed at which the system oscillates.

Illustrative Example

Let's consider an example to illustrate the usage of the Angular Frequency Calculator. Suppose we have an oscillating system with a frequency of 10 Hz, a period of 0.2 seconds, an amplitude of 0.5 meters, a mass of 2 kg, and a spring constant of 20 N/m. By inputting these values into the calculator, we can determine the angular frequency of the system.


  • Frequency: 10 Hz
  • Period: 0.2 seconds
  • Amplitude: 0.5 meters
  • Mass: 2 kg
  • Spring Constant: 20 N/m


  • Angular Frequency: 31.42 rad/s

In this example, the calculator reveals that the oscillating system has an angular frequency of 31.42 radians per second.

Illustrative Table Example

Below is an example table showcasing the Angular Frequency Calculator using various sets of input values:

Frequency (Hz)

Period (s)

Amplitude (m)

Mass (kg)

Spring Constant (N/m)

Angular Frequency (rad/s)


The Angular Frequency Calculator is a powerful tool for calculating the angular frequency of an oscillating system. By providing the relevant input values, including frequency, period, amplitude, mass, and spring constant, you can quickly determine the angular frequency. This information is vital for understanding the behavior of oscillating systems and is widely applicable in physics, engineering, and various scientific disciplines.