Direction of angular velocity

In summary: It can be used to describe the orientation of a rotating object in space. Therefore, the direction of angular velocity is crucial in determining the motion and orientation of a rotating body.
  • #1

navneet9431

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Angular velocity is the rate of angular displacement about an axis. Its direction is determined by right hand rule.

According to right hand rule, if you hold the axis with your right hand and rotate the fingers in the direction of motion of the rotating body then thumb will point the direction of the angular velocity.

The direction of angular velocity is above or below the plane. But what does it mean? I mean in linear velocity the direction of velocity is in the direction of motion of body but what does it mean that body is moving in one direction while the direction of its angular velocity is in another direction?
 
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  • #2
navneet9431 said:
Angular velocity is the rate of angular displacement about an axis. Its direction is determined by right hand rule.

According to right hand rule, if you hold the axis with your right hand and rotate the fingers in the direction of motion of the rotating body then thumb will point the direction of the angular velocity.

The direction of angular velocity is above or below the plane. But what does it mean? I mean in linear velocity the direction of velocity is in the direction of motion of body but what does it mean that body is moving in one direction while the direction of its angular velocity is in another direction?

It means that angular velocity has a real vector nature. Look at the motion of a gyroscope. If everything were linear, the gyroscope would fall.
 
  • #3
navneet9431 said:
The direction of angular velocity is above or below the plane. But what does it mean?
It identifies the direction of the axis of rotation. Above or below the plane identifies clockwise or counter-clockwise. The magnitude indicates how fast it is rotating.

It happens to turn out that a three dimensional rotation rate has three degrees of freedom (pitch and yaw of the axis plus roll rate about the axis) just like a three dimensional position vector. It is convenient to represent it as such.
 

What is the direction of angular velocity?

The direction of angular velocity is a vector quantity that indicates the direction of rotation of an object. It is perpendicular to the plane of rotation and follows the right-hand rule, where the fingers of the right hand curl in the direction of rotation and the thumb points in the direction of angular velocity.

How is the direction of angular velocity determined?

The direction of angular velocity is determined by the axis of rotation. If the object is rotating counterclockwise, the direction of angular velocity is upwards. If the object is rotating clockwise, the direction of angular velocity is downwards.

Is angular velocity always in the same direction?

No, angular velocity can change direction if the direction of rotation changes. For example, if an object is spinning on a horizontal axis and then starts spinning on a vertical axis, the direction of angular velocity will change.

Can the direction of angular velocity be negative?

Yes, the direction of angular velocity can be negative. This indicates that the object is rotating in the opposite direction. For example, if an object is spinning counterclockwise and then slows down and starts spinning clockwise, the direction of angular velocity will be negative.

How does the direction of angular velocity affect the motion of an object?

The direction of angular velocity affects the direction of the object's rotation. If the direction of angular velocity changes, the object will change its direction of rotation. Additionally, the magnitude of angular velocity affects the speed at which the object rotates.

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