# Questions tagged [angular-velocity]

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

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### Lagrangian of a charged particle in a magnetic field (specific problem)

I have to determine the Lagrangian and the angular velocity $\omega = \dot\theta$, in cylindrical coordinates $(r, \theta, z)$, of a electron with mass $m$ and charge $-e$, wich is experiencing a ...
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### Determination of the friction from a running wheel

I have a running wheel for mice and record the turns of the wheel, to measure their activity. To make the mice a little more exhausting, I vary the material and the diameter of the pin, which is ...
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### The derivative of the unit velocity vector

The set up: An intertial frame Y-X used to describes trajectory of an insect on some rigid body using some relative vectors. Symbols: $\vec{r_a}$ is is the vector connecting the origin to some point ...
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### What is the difference between $\omega$ and $\Omega$ in the equation $\Omega = \theta_o\omega\cos(\omega t +\delta)$?

The standard equation for any object moving in a linear simple harmonic motion (SHM) is $$x=A\sin(\omega t +\delta)$$ where $A$ is the amplitude, $\omega$ is the angular velocity. Likewise, converting ...
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### Can you explain the direction of angular displacement?

Here the purple represents the disc, red represents the axis of rotation of the disc, and green represents the direction of rotation. It is said that by applying right hand thumb rule we can find the ...
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### Angular momentum about a point in translation

Consider the following question which was asked in JEE Advanced 2016: Consider the first option(which is the third option here) In the video linked above, Tibees takes $L_{com}=L_1+L_2$ where $L_1$ &...
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### Centrifugal force problem involving pulley [closed]

I have this following problem: Two blocks A and B of masses $m_a, m_b$ are placed as shown on a platform at a distance $r$ from the axis of rotation. Find the angular speed of the platform so that ...
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### Formula of angular frequency for the metronome pendulum [closed]

I am currently doing an experiment with the metronome pendulum (double-weighted pendulum). Since it is a combination of the inverted pendulum and simple pendulum, I am not sure which formula to use to ...
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### What is the differnce of angular velocity and angular frequency in angular SHM

A body free to rotate about a given axis can make angular oscillation. This angular oscillation are called Angular simple harmonic motion, In derivation, Ohm = theta ✖ w ✖ cos(wt+ phi) Where omega is ...
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### Change in direction imply angular acceleration

Does direction change imply angular acceleration. When a non-point mass object changes direction (like a block sliding down a hill of changing slope), why do we not account for rotational $K.E$ when ...
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### Coriolis effect vs preservation of angular momentum on merry-go-round, sniper's bullet, hovering helicopter and high altitude rockets

I understand that how helicopter hovers at the same position or a thrown ball falls to the same position even though earth is spinning. This is due to the preservation of angular momentum and my ...
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### A body rotating around a fixed axis relative to another rotating body

A question in my book goes as follows: A planet P revolves around the Sun in a circular orbit, with the Sun at the center, which is co-planar with and concentric to the circular orbit of Earth E ...
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### Angular velocity vector from linear velocity vector

Linear velocity vector is $\vec{v}$ and the distance vector is $\vec{r}$. How is it that angular velocity vector is $\vec{ω}$ = $\frac {\vec{r} × \vec{v}}{|\vec{r}|^2}$ The equation I am aware of is ...
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### Does the object move when the forces are balanced but is rotating?

If we apply $F=ma$, there is no net force and as such there is no acceleration in the center of mass. But due to the friction acting, there is a torque which gives rise to an angular acceleration of ...
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### Problem with formula for cylindrical chandelier problem

The problem says: A cylindrical chandelier is hung on a wire and when it rotates around its siege an angle $\theta$ the twisting moment acting on it is $\tau$ = $−\theta$. The moment of inertia is ...
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### Calculate circular velocity by comparison [closed]

So I have this problem where I have to calculate circular speed but I don't have the mass. I can only do this by comparison. So a ball rotates at $2.4 \ ms^{-1}$ with a radius of $0.8$ m. How much ...
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### Why can't we conserve angular momentum about any other point except Center of mass

A rod AB of mass M and length L is lying on a horizontal frictionless surface. A particle of mass m travelling along the surface hits the end A of the rod with a velocity v0 in a direction ...
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### Angular Momentum (classical derivation)

I'm looking for a rigorous derivation of total angular momentum of a classical system, where, some objects in the system have their own intrinsic angular momentum (="spin"). Unfortunately, ...
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