# Questions tagged [angular-velocity]

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

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### Angular velocity of a particle moving in 3D

I have a particle trajectory where particle position is available at discrete time steps with respect of (0,0,0) in 3D. Time step is 0.05 sec. For reference, positions are shown in following image. ...
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### Derivative of transformation matrix for 6-DOF dynamics

I'm implementing a planner for a 6-DOF underwater robot and I'm using the dynamics derived in chapter 7.5 of Fossen's HHandbook of Marine Craft Hydrodynamics and Motion Control. I'm using the ...
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### How can we choose two different mass moment of inertias for the same momentum calculation?

I am working on answering part (a) and here is what I got: By conserving linear momentum, we have that $$mv_0 =(3M)v_f \hspace{3mm}\implies \hspace{3mm} v_f =\frac{1}{3}v_0$$ Now, in order to conserve ...
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### Angular velocity - Gyroscope

I am currently researching the gyroscope on my own and i came across the concept of angular velocity. The torque ($T$) on a gyroscope is caused by $R\cdot F$, where the force i consider it to be ...
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### Why can't rotations in general be associated with vectors?

In my textbook, there's a question: A vector has both magnitude and direction. Does it mean that anything that has magnitude and direction is necessarily a vector? The rotation of a body can be ...
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### Why is the angular speed at the axis of rotation of a rotating disc equal to the angular speed at any other point on the disc?

I was just reviewing classical mechanics problems on Khan Academy and got the following question: I knew that the angular speeds at points II, III, and IV must be equal, but I'm not sure how you'd ...
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### How many centimeters will the ball rise due to the motion? [closed]

A small ball with a mass of 50 grams is in a spherical bowl with a radius of 10 cm. The bowl rotates at a frequency of 5 revolutions per second around a vertical axis. How many centimeters will the ...
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### Angular velocity about an arbitrary point

Consider a rigid body rotating with angular velocity $\vec{\omega}$. Now, we know that this $\vec{\omega}$ is an intrinsic property for the rigid body, in the sense that: Each point on the rigid body ...