Applications Of Angular Velocity

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In this article, we will be explaining to you the concept of angular velocity, how you can be able to calculate the angular velocity of an object and we will also provide you some examples of how it is applied in real life.

So, What Exactly Is Angular Velocity?

You’ve probably heard about “angular velocity” in your physics class or maybe you heard your older sibling mention it to you as they talked about it. First of, I want you to understand that angular velocity is not difficult and it is something we apply in our everyday lives either knowingly or unknowingly.


I thought so too, but don’t worry, this article would break down everything you need to know about angular velocity. Just keep reading.

Angular velocity is a term in physics that is used when describing how quickly an object rotates around a fixed point.

It is calculated in terms of radians per second, and it is also used when determining the speed and direction of an object while rotating.

For example, let’s say you’re inside a circle and then you begin spinning around in the circle. You would notice that as you spin, you keep rotating faster and faster thereby increasing your angular velocity.

NB: Keep in mind that angular velocity applies to any object at all that rotates, regardless of its size or mass.

Calculating Angular Velocity

Now that you know what angular velocity is and what it does, it is time for you to learn how to calculate it.

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For you to calculate the angular velocity of an object, you will need to use the following equation: 

angular velocity = distance traveled ÷ time taken .

In order for angular velocity to be accurately calculated, all of the variables i.e. all the units and values that makes up the equation must be known.

This means that you need to measure both the distance traveled and the time taken to get an accurate information.

Once you have these figures all figured out, you will need to put them into your equation and then calculate.

Applying Moment of Inertia

When it comes to understanding angular velocity, there’s a lot of physics to take into account. But don’t worry, we are going to break it down for you.

The first thing you need to understand is momentum.

Momentum is simply defined as the product of mass and velocity. In other words, it is the force that an object has as it moves through space. This is what we use to calculate angular velocity.

Angular velocity is measured in radians per second, and it is basically the rate at which an object is rotating. We determine this by dividing the momentum by the object’s moment of inertia. 

Now that you understand the basics, you can start using this information to your advantage. 

For example, if you know the angular velocity of a wheel, you can calculate its speed based on its radius. Armed with this knowledge, you’ll be able to understand how your car or bike works—and maybe even impress your friends at your next physics party.”

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Torque and Angular Acceleration

Now, let’s talk about torque and angular acceleration, the two forces that must be considered when you’re calculating angular velocity. To start, torque is defined as the measure of how much force causes an object to rotate about an axis. It is measured in Newton-meters (Nm).

Angular acceleration is the rate of change of angular velocity over time. It is measured in radians per second squared (rad/s2). 

To calculate the angular velocity, you must use a formula:

Angular Velocity = Torque / Moment of Inertia. 

Moment of inertia measures the combined resistance of an object to changing its rotation around its center of mass. It is measured in kilogram-meters squared (kg m2).

How to Measure Angular Velocity

The most common way to calculate angular velocity is by using a formula that multiplies the angular displacement by the change in time between measurements. So, if you know the initial and final values for angle and time, you can easily calculate angular velocity.

For example, let’s say that we start with an angle of 0° and then have a displacement of 30° after 15 seconds. In this case, our angular velocity would be 2 radians per second (rads/s).

To help visualize this example, a rotation of 1 rad/s is like an object on a carousel making one full rotation every second, while a rotation of 2 rad/s is like two rotations every second. Keep in mind that direction matters too; if an object spins clockwise but travels counterclockwise it will have an opposite angular velocity.

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Applications of Angular Velocity In Real Life Situations

Here are some applications of angular velocity in real life situations.

First, consider a car driving on a circular path. The car’s angular velocity is equal to the ratio of its speed and the radius of the circle. In this example, the speed and radius are constants so the angular velocity is also constant.

Next, think of two gears turning at different rates. The gear ratio is proportional to the ratio between their angular velocities. So if one gear is twice as fast as another, then it has twice the angular velocity of the slower gear.

Finally, you can use angular velocity to calculate centrifugal force. Centrifugal force increases with a body’s linear speed and its angular velocity – both of which are constantly changing in many situations such as when a person is spinning on a chair or an object flying through the air.

In conclusion,

Angular velocity is a measure of how quickly an object is rotating and it is  calculated by dividing the angular displacement by the time.

Knowing how to calculate and understand it is very important for a number of reasons because it can help you determine the rotational speed of an object and it can be used to calculate the moment of inertia of an object. Finally, angular velocity can be used to determine the amount of work that’s been done on an object.