2022年3月29日 · Now, the angular velocity $\vec \omega$ is defined in two parts: its magnitude is given by the rate of change of angular displacement its direction is perpendicular to that of $\vec r$ and $\vec{dr}$ , as determined by the thumb-rule.

2019年11月7日 · A velocity vector that's parallel to the radius but not pointing through the center of rotation has an angular component to it. Being parallel to the radius is a necessary condition for a velocity vector to be a radial velocity vector, but it's not sufficient by itself. $\endgroup$

2014年5月22日 · Angular velocity is just angular momentum divided by the moment of inertia, I. It is called "velocity" because of the similarity with the relation between linear momentum and velocity. This is imho a misnomer, as the angular "velocity" is oriented perpendicularly to the material velocity.

2015年7月25日 · I've gone through the proof on why the angular velocity vector is the same in either choice of body origins, but still remain confused. Just about the only thing I can reconcile is that a given the same $\omega$ and two different body origins, the rotational orientation of a rigid body will be the same, but the body will be translated very ...

2010年5月31日 · Can anyone explain to me how angular velocity (w) = 2pi(f) -->where f = frequency. This is not a homework question involving numbers. I'm reading a section on "the period of sinusoidal Nature of SHM" and I don't understand how they get this equation.

$\begingroup$ Your definition of angular velocity is incorrect. For one thing, dv/dt has dimensions of acceleration, so the units you've indicated don't go with your expression. But the dimensions of angular velocity should be the same as those of angular speed anyway; it should have SI units of rad/s, not m/s. $\endgroup$ –

2015年11月17日 · ω = angular velocity in rad / s 2⋅π corresponds to one full rotation (2⋅π rad = 360°). If you want to know how many rotations are made in one second, you calculate ω / (2⋅π) = f with f = frequency in s-1.

For simulating the motion of particle taking a turn, would omega simply be velocity divided by radius of turn? Assuming Cartesian coordinates. Another funny thing I noticed is that while simulating particle motion, a 7G turn showed up as an almost straight line (while using a constant turn motion model) with a velocity of 900m/s and time ...

2019年6月24日 · The angular velocity $\vec{\omega}$ lies along the axis of rotation. And the angular momentum $\vec{J}$ is the cross product of $\vec{r} \times \vec{p}$. Which according to me should also lie along the axis of rotation. But I read in a book that the direction of angular momentum vector and angular velocity vector are not the same. Why is it so?

You can't generate spin 1/2 from motion in space, so no, there is no way to assign an angular velocity to the electron. Orbital angular momentum only comes in integer multiples of h-bar. This situation actually doesn't change very much even if we do discover substructure to the electron. Google "preon" and "confinement problem." You're still ...