# Questions tagged [angular-velocity]

The time derivative of angular position used when studying rotating objects or systems.

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### Angular and linear velocity of a circle

Let's assume I have a circle of radius $r$ and I apply a constant force at a point on the circumference of the circle that is perpendicular to the distance vector which goes from the centre of the ...
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### Strapdown gyroscopes and body frame angular velocities

I am trying to make some sense on strapdown interial navigation systems, which i thought i understood... I thought that a strapdown intertial navigation system produced body frame expressed angular ...
2answers
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### Conceptual confusion about the relative angular velocity of particles in a rigid body

Let me explain my doubt with help of an example consider a disc of radius $2R$ rotating with contant angular velocity $\omega$ locate two particles $A$ at a distance $R$ from centre and $B$ at a ...
1answer
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### Is Earth’s rotation slowing down or speeding up?

Section ‘Slowing down of the Earth’ of the Wikipedia article Leap second has the following paragraphs: A mathematical model of the variations in the length of the solar day was developed by F. R. ...
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### Total Angular Momentum in an orbit

I have just learned that the total angular momentum of a system is measured by adding the angular momentum of the Center of Mass and also the angular momentum of matter rotating around the Center of ...
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### The movement of a bowling ball while throwing it

When a bowler pushes a bowling ball into the lane he rotate his wrist so he apply a force to rotate the ball if I only Know the angle of rotation and the value of the force how can I find the angular ...
3answers
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### How can I prove the existence of rest points in rigid motion with all speeds orthogonal to $\vec{\omega}$?

If in a rigid motion there is a point at rest, then all speeds are normal to $\vec{\omega}$ (assumed $\neq \vec{0}$), to prove choose the rest point as origin and explot fundamental equation of rigid ...
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### Confusion regarding the answer to a question about $(v_T)^2/r$

In this answer to the question "Intuitive explanation for why centripetal acceleration is $\frac{v^2}{r}$": https://physics.stackexchange.com/a/190532/262601 (excerpt from the answer is ...
2answers
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### Why doesn't $v_T = \omega r$ involve the direction of its variables?

We derived $v_T = \omega r$ by the following procedure, and it's said that $v_T = \omega r$ "is a relation between the magnitudes of the tangential linear velocity and the angular velocity". ...
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### Determination of the speed and angular velocity of 4 rolling cylinders between planks

According to the picture, there are four identical cylinders, with radius R, that are rolling without slipping at every contact point. The upper plank is moving with speed 2v (m/s) towards the right, ...
2answers
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### Uniform / rigid rotation in fluids, velocity gradients and resulting friction

In the derivation of the Navier-Stokes equation e.g. in Landau & Lifshtiz Volume 6 on fluid mechanics it is stated that the viscous stress tensor $\sigma_{ij}^{\prime}$ must also vanish when the ...