# Questions tagged [angular-velocity]

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

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### How is angular velocity defined in this case (and why)?

Suppose we have two particles with trajectories $\vec{r}_{1}(t) = (\cos ct, \sin ct, 1)$ and $\vec{r}_{2}(t) = (-\cos ct, -\sin ct, -1)$. On one hand, we could say the angular velocity of the two ...
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### An object is being swung around in a circle, attached by a string. If the string breaks, does the angular velocity instantly drop to zero?

If an object attached to a string is being swung around in a circle, then when the string breaks, the object will continue in a straight line at a constant velocity, per Newton's First Law. If I ...
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### Where is the reaction force of an object that has just flung out from a circular motion?

An object in a circular motion will fly out tangentially when released. As per Newton's Third Law of motion, there is a reaction in every action. The moment the object is released, where is the ...
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### Experimentally determine the Moment of Inertia of a complex (mathematically indescribable) object

I'm a high schooler that's trying to design a robot for a physics project. The robot is a catapult; it will calculate a trajectory and shoot at a certain speed and angle using a large motor. I'm using ...
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### Circular motion of two bodies: how to determine when they meet up again?

Let's say that there are two satellites, one of them moves in the red orbit and the other one in black one. At the time t0 they start together on the green point. How can I set equations to deduce ...
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### What is the angular velocity of a wheel as a function of time as it is spun up by a DC motor?

For the sake of concreteness, let us consider a brushed DC motor. I am trying to predict how much a wheel spins up when it is connected to a DC motor for a certain amount of time $t$. Let's say I ...
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### Physical significance of the angular velocity vector and its projections along different axes

Let's say there is a disk spinning at angular velocity $\omega$. If an observer looks down at the disk directly from the top, he will see the red marker spinning about the center of the disk at ...
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### How to predict position with forward Acceleration(with angle) and angularAcceleration?

I'm working on predicting the path of a point in 2D space for a game; My point have a direction initial and I want to accelerate on this direction every times, the direction of point is computed with ...
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### How to obtain the torque from a magnetic moment Lagrangian?

Consider a body with magnetic dipole moment $\vec m$ subject to a magnetic field $\vec B$. We know that the torque on the body will be given by: \begin{equation} \vec \tau = \vec m \wedge \vec B \end{...
1 vote
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### Does always angular momentum and angular velocity have the same direction?

I was studying how angular momentum is cancelled when it is transferred directly into the origin of the axis of rotation and during the lecture the professor did something and I was pretty confused. ...
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### Relative angular velocity and linear acceleration of a fixed rigid body coordinate with respect to another moving rigid body coordinate

Let me describe a problem I currently have: The robot (orange box) moves around the object (green box) located in a fixed position. Odom keeps providing a homogeneous transformation (rotation and ...
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### Angular momentum and torque meaning

I am trying to understand torque and angular momentum. I faced the following problems but couldn't find an answer in my textbook or internet: why is torque equal to vector product of force and ...
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Suppose I have spherical shell kept on a rough horizontal surface. The radius of this shell is given as $R$. Let us call the center of the sphere $O$. At some height $h$ above the center of the sphere,...
### How do you find the angular velocity required to keep a constant distance $r_0$ between two unequal spherical masses?
I am having trouble coming up with this solution. Here is where I am at. I defined two variables, $r_1$ and $r_2$, where the former is the distance between $m_1$ and the center of mass, and the latter ...