Particle moving in a circle (angular momentum)

In summary, angular momentum is a measure of the rotational motion of an object around an axis. It is calculated by multiplying the moment of inertia by the angular velocity. Angular momentum and torque are directly related, and the law of conservation of angular momentum states that it remains constant unless acted upon by an external torque. Angular momentum differs from linear momentum in that it considers rotational motion while linear momentum only considers linear motion. A particle moving in a circle has angular momentum due to its constant speed and changing direction, caused by a centripetal force directed towards the center of the circle.
  • #1
preluderacer
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Homework Statement



A particle is moving in a circle. If the radius of the circle is doubled and the angular speed remains the same, then the angular momentum of the particle about the center of the circle will also be doubled.



The Attempt at a Solution



Im thinking it's false because the equation mr^2(angular speed). I am not quite sure though if this was the equation to use though.
 
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  • #2
You are correct, the angular momentum is L=m r w = m r^2 w.

ehild
 

1. What is angular momentum?

Angular momentum is a measure of the rotational motion of an object around an axis. It is a vector quantity that takes into account the mass, speed, and distance from the axis of rotation.

2. How is angular momentum calculated?

Angular momentum can be calculated by multiplying the moment of inertia (a measure of an object's resistance to rotational motion) by the angular velocity (the rate at which an object rotates around the axis).

3. What is the relationship between angular momentum and torque?

Angular momentum and torque are directly related. Torque, or the rotational force applied to an object, causes a change in angular momentum. This is known as the law of conservation of angular momentum, which states that angular momentum remains constant unless acted upon by an external torque.

4. What is the difference between angular momentum and linear momentum?

Angular momentum is a measure of rotational motion, while linear momentum is a measure of linear motion. Angular momentum takes into account the rotation of an object around an axis, while linear momentum only considers the movement of an object in a straight line.

5. How does a particle move in a circle?

A particle moving in a circle has a constant speed but a changing direction, which is why it is considered to have angular momentum. This motion is caused by a centripetal force, which is directed towards the center of the circle and keeps the particle in its circular path.

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