# Questions tagged [angular-velocity]

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

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• 21
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### Is this assumption about a vortex's angular velocity reasonable?

I am deriving a velocity flow function $\psi(r,t)$ that could be derived by (1) establishing the relation between two vortex area functions, $a(t)$ and $A(r)$, using the disk method of integration, ...
1 vote
69 views

### Angular velocity versor

I am going back through the definitions of good old Euclidean vectors and trajectories to see whether when i was younger i missed important concepts. In my notes, and reference book, i found that for ...
• 1,545
1 vote
108 views

### Is it possible to determine a final orientation from an initial angular velocity and constant angular acceleration analytically?

I am looking to model the rotation of a ball over time. I have the following information: an initial orientation, as a quaternion an initial angular velocity, as X/Y/Z components, fixed to the global ...
• 11
1 vote
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### Angular velocity in body-frame vs inertial frame

This question is based on the nomenclature and definitions in Structure and Interpretation of Classical Mechanics. In Section 2.2, we start with a rotation $\mathscr{M}(q(t))$ where $q$ is the path ...
1 vote
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• 23
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### Does the angular velocity of a wheel affect its height in this situation?

If there were no friction at all, and the wheel was spinning with some angular velocity in the initial picture shown below. Would the wheel stay perpendicular to the ground regardless of the angular ...
• 57
1 vote
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### Angular Velocity of a point on a deflated tire (gyroscope measurement)

Before I do the experiment, I am a bit confused about the expected signals provided by a 3-axis gyroscope (angular velocities vs. time) mounted on the edge of a (slightly) deflated car tire when the ...
1 vote