Angular velocity, acceleration, and torque

In summary, the direction of angular velocity, acceleration, torque, and momentum point perpendicular to the rotation of the circle. This is because using a vector perpendicular to the plane of rotation simplifies the math and provides sufficient information. The circle in question is rotating like a merry-go-round and there is no one specific tangent.
  • #1
BadSkittles
34
0
Hello, can anyone explain why the direction of angular velocity, acceleration, torque, and momentum point perpendicular to the rotation of the circle? It seems to make more sense if it pointed in the tangential direction.
 
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  • #2
BadSkittles said:
Hello, can anyone explain why the direction of angular velocity, acceleration, torque, and momentum point perpendicular to the rotation of the circle? It seems to make more sense if it pointed in the tangential direction.

What actual circle is rotating here, and is it rotating like a merry-go-round or like a coin spinning on its edge?
 
  • #3
BadSkittles said:
Hello, can anyone explain why the direction of angular velocity, acceleration, torque, and momentum point perpendicular to the rotation of the circle? It seems to make more sense if it pointed in the tangential direction.
By using a vector perpendicular to the plane of some angular quality, the math is simpler since normal vector math can be used, and a vector provides sufficient information, direction and magnitude.
 
Last edited:
  • #4
a merry go around like circle
 
  • #5
What tangent? It's a merry go round. There is no one tangent.
 

What is angular velocity?

Angular velocity is a measurement of how fast an object is rotating around a specific axis. It is typically measured in radians per second.

What is angular acceleration?

Angular acceleration is the rate of change of an object's angular velocity over time. It is typically measured in radians per second squared.

How are angular velocity and linear velocity related?

Angular velocity and linear velocity are related by the radius of the circle or arc that the object is moving in. This relationship is known as the tangential velocity.

What is torque?

Torque is a measurement of the rotational force applied to an object. It is typically measured in newton-meters.

How do these concepts apply to real-world situations?

Angular velocity, acceleration, and torque are important concepts in physics and are used to explain the motion of objects in various systems. They are commonly used in engineering, robotics, and sports, such as calculating the rotation of a wheel or the force needed to swing a baseball bat.

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