I am in an introduction to engineering physics course and just trying to see if my understanding of angular motion is correct or if I have the wrong idea. So as I understand it, angular velocity is the rate of change of angular position, not physical distance traveled. Arc length is the physical distance traveled, and the rate of change of the arc length is the linear velocity, which depends on the distance the rotating particle is from the axis of rotation, and the rate of change of the angular position.
Questions about this:
- Does this mean that for any particle on the rotating body the angular velocity is the same?
- Does this mean that when angular momentum is described, we are technically still describing a relationship between linear velocity and mass (mv), only now the linear velocity depends on angular velocity and radial distance from axis?
- this would mean that linear velocity would be less for particles close to the axis of rotation, but angular velocity would be the same?
- Then why would something like a pulsar rotate faster as its matter get closer to the center?
Sorry I have a lot of questions, but I would be very grateful is someone could clear any of them up