Created By : Abhinandan Kumar

Reviewed By : Rajashekhar Valipishetty

Last Updated : May 16, 2023

Angular Velocity Calculator is a free tool that calculates and shows the angular velocity in a matter of seconds. All you have to do is enter the necessary information, and our calculator will provide you with fast answers to your inquiries.

Choose a Calculation
Angle change (Δα):
Time (t):

Choose a Calculation
Velocity (v):
Radius (r):

What is Angular Velocity?

The rotational movement of objects and how fast they move around the centre of rotation are determined by Angular Velocity. The larger the Angular Velocity, the faster the movement.

Angular Velocity Formula

Based on the inputs, we employ two distinct formulas in our calculator to calculate the Angular Velocity. The angular velocity equation is analogous to the linear velocity equation i.e. ω = (α₂ - α₁) / t = Δα / t

α₁ and α₂ are two angles on a circle and represents the difference between them. The time it takes for an angle to change is called t. In the event of a normal velocity, the period has a positional shift. However, instead of using distance, we'll employ an angle.

The alternate formula for angular velocity can be calculated using the cross product of the linear velocity and radius, i.e. v = ω × r. We may derive the angular velocity by rewriting this equation as ω = r × v / |r|². Except for |r|, which is the radius's absolute value, all other variables are vectors. The direction of Angular Velocity is perpendicular to the plane of rotational movement, making it a pseudovector.

Angular Velocity Units

Angular Velocity is measured in a variety of units, some of which are given below. The number of radians per second (rad/sec) indicates the size of the rotation that the body does in a particular amount of time.

RPM (Revolutions Per Minute) - This is the most common unit used in real-time applications. It indicates how quickly a unit or a wheel is spinning.

Hertz (Hz) is a frequency unit that is less commonly used for angular velocity.

The relation can be used to modify all of these units from one another. For example, 1 RMP = 0.10472 rad/s = 0.01667 Hz.

For more concepts check out to get quick answers by using this free tool.

Angular Velocity vs. Angular Frequency: What's the Difference?

Angular Frequency is calculated using the formula = ω = 2 x π x f, where f is the frequency. It's obvious that it utilises the same letter and has the same quantities as rad/sec. Though both sound similar, there is a fundamental difference between angular velocity and angular frequency. Angular Velocity is a vector and is used for motion around a point. Angular Frequency is a scalar that is utilized in harmonic motion.

How to Use the Angular Velocity Calculator?

The following is the procedure how to use the angular velocity calculator

  • Step 1: In the input area, enter the unknown's displacement value, time, and x.
  • Step 2: To calculate the angular velocity, click the "Calculate x" button.
  • Step 3: Finally, the output field will show the angular velocity.

FAQs on Angular Velocity Calculator

1. How do you calculate angular velocity?

Angular velocity is the rate at which an object's position angle changes over time, hence, w = θ / t, where, w = angular velocity, θ = angle of position, and t = time.

2. What are the Angular Velocity Units?

Angular Velocity is measured in a variety of units, including RPM, Radian Per Second, and Hertz.

3. Is Angular Velocity a Vector or a Scalar?

Because it has both a direction and a magnitude, Angular Velocity is a vector quantity.

4. Is RPM and angular velocity the same thing?

Because one revolution is 360 degrees and there are 60 seconds every minute, rpm can be translated to angular velocity in degrees per second by multiplying the rpm by 6. Because 6 multiplied by 1 equals 6, the angular velocity in degrees per second is 6 degrees per second if the rpm is 1 rpm.