One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM

DETAILS

MRP

DISCOUNT

FINAL PRICE

Total Price: Rs.

There are no items in this cart.

Continue Shopping

Continue Shopping

## why is very small angular displacement a vector quantity?How can we prove it?

## why is very small angular displacement a vector quantity?How can we prove it?

8 years ago

## Angular Displacement

Let us assume a giant wheel is moving, after some time, it will cover some distance.

We can see the change in position with respect to the initial point. We can calculate the change by studying the concept ofangular speed.## What is Angular Displacement?

We know that theDisplacementis the shortest distance from the initial position to final position irrespective of the path taken by it to reach the final position.It is the virtual straight line connecting initial position and the final position.

Here we can see the distance traveled (Actual Path) is AB + BC, but displacement is AC.

where, AC = AB + BC.

Now, What is Angular displacement?, In simple words we can say displacement covered in terms of angle.

Thus the displacement of the body moving in the curved path is represented by Angular displacement.

or

It is defined as the angle in radians through which a point has been rotated about a specified axis. It is the distance an object moves in a curved path. It is represented by the length of the arc of curved path.

The arc is measured in the angle and hence angular displacement is also measured as anangle.## Angular Displacement Units

The Angular displacement is measured asanglesand the angles are measured inradians. So, the unit of angular displacement isradians.The angular displacement is represented in polar co-ordinates and not in x-y co-ordinates.

## Angular Displacement Formula

Let''s say, a body is moving in circular direction as shown in fig,

For $\theta$ angle and the radius of curved path is r. The linear displacement is related to the angular displacement as: S = r $\theta$ ...............(1)where r = radius of the curvature,

$\theta$ = angular displacement.

The equation (1) is the angular displacement equation.

8 years ago

## Angular Displacement

Let us assume a giant wheel is moving, after some time, it will cover some distance.

We can see the change in position with respect to the initial point. We can calculate the change by studying the concept ofangular speed.## What is Angular Displacement?

We know that theDisplacementis the shortest distance from the initial position to final position irrespective of the path taken by it to reach the final position.It is the virtual straight line connecting initial position and the final position.

Here we can see the distance traveled (Actual Path) is AB + BC, but displacement is AC.

where, AC = AB + BC.

Now, What is Angular displacement?, In simple words we can say displacement covered in terms of angle.

Thus the displacement of the body moving in the curved path is represented by Angular displacement.

orIt is defined as the angle in radians through which a point has been rotated about a specified axis. It is the distance an object moves in a curved path. It is represented by the length of the arc of curved path.

The arc is measured in the angle and hence angular displacement is also measured as anangle.## Angular Displacement Units

The Angular displacement is measured asanglesand the angles are measured inradians. So, the unit of angular displacement isradians.The angular displacement is represented in polar co-ordinates and not in x-y co-ordinates.

## Angular Displacement Formula

Let''''s say, a body is moving in circular direction as shown in fig,

For $\theta$ angle and the radius of curved path is r. The linear displacement is related to the angular displacement as: S = r $\theta$ ...............(1)where r = radius of the curvature,

$\theta$ = angular displacement.

The equation (1) is the angular displacement equation.

8 years ago

Think You Can Provide A **Better Answer ?**

Answer & Earn Cool Goodies

Have any Question? Ask Experts

copyright © 2006-2021 askIITians.com

info@askiitians.com