Questions tagged [angular-velocity]
The time derivative of angular position used when studying rotating objects or systems.
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Proof and meaning of $\vec{v} = \vec{\omega}\times\vec{r}$
Elementary question but I'm slightly confused about the statement $$\vec{v} = \vec{\omega}\times\vec{r}.$$ I know that $\vec{\omega}$ is simply the time derivative of $\theta$, which, to make things ...
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Help with car physics [duplicate]
I've been trying to work on a car in a game, of course, this is a physics forum and my question is how does a car torque and angular velocity even work?
Consider this, a user pressed the W key and the ...
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Why is Angular momentum conservation used to explain the velocity of an electron in a specific orbit?
According to Bohr's Atomic Model, the formula for finding out the angular momentum of an electron, rotating in any particular orbit, i.e:
$$mvr = \frac{nh}{2\pi} \ ,$$
where $n$ = number of orbit, ...
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$v=r\omega$ derivation confusion
A derivation of $v = r\omega$ is below, but I am sort of confused because the derivation is saying that $dL/dt$ is velocity, but $L = 2\pi rn$, which is distance travelled. So how can distance/time be ...
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Velocity Formula For a Particle Inside a Rotating System
I'm having a bit of trouble really understanding the formula of velocity for a rotating and accelerated system.
Let $S$ be the inertial System with origin $O$ and let $S'$ be the rotating system with ...
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Why is the direction of angular velocity or angular momentum perpendicular to the plane where the circular motion actually occurs? [duplicate]
I always thought that it was just a mathematical thing (as we can't use something like a curvy vector) and has no real life physical significance. However, i saw the working of a gyroscope which ...
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Constant angular velocity of a rigid body
So, I was reading about rotational kinematics, on rigid body rotation about a fixed axis. And I came across a statement that states: "here we have assumed that the body is rigid, so that all ...
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Doubt About Euler Angles and Matrix Order Multiplication
I'm asking this question here because the doubt comes from trying to understand a physical problem (kinematics of rotations), but this question would easily fit the MathExchange site also.
I was ...
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What is the actual period of adding two perpendicular circular motions? [closed]
Imagine there are two position vectors. One is of unit length, doing circular motion in the $xy-$plane starting from position $(0, 1, 0)$, with angular velocity $\boldsymbol{\omega_1} = (0, 0, \pi)$ ...
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Vector addition of angular velocity vector
Consider a body spinning about the $x$-axis, and let it suddenly gain some angular velocity about an axis perpendicular to the spinning axis — let it be the $y$-axis. Do you think that if I perform ...
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Confusing Angular momentum
This problem has bothered me for a long time.
In my Physics 1 course we've learned that the formula for angular momentum is $$\vec L = \vec r\times \vec p + I\vec \omega,$$
where $\vec r\times \vec p$ ...
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Milky way from planet Earth
So every night if you look up at the stars you see the milky way band across the sky, but knowing that we travel through it and that the earth rotates, why don't we ever view away from the band "...
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What quantity does the integral of the angular velocity vector represent?
Angular displacement cannot be adequately represented by a vector because rotations in 3 dimensions do not commute. However, one can easily define an angular velocity vector $\overrightarrow{\omega}$, ...
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Why are there two types of relative angular velocities?
When I was studying the relative motion of satellites I came across 2 formulas for relative angular velocity. One was for the relative angular velocity of one satellite about the other,
$$ω=\frac{|\...
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Lacking intuition regarding angular velocities [duplicate]
I am aware of the definition :-
$$ \omega_{A/B}=\omega_{A/G}-\omega_{B/G}$$
where /G signifies angular velocity relative to ground or a reference frame at rest.
But I am unable to understand it ...
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Centripetal force causing tangential acceleration paradox
I was solving this question
Now the general solution for part(a) is that as the tension makes a $180°$ angle with the radius, it wont cause any torque on the mass. So angular momentum is conserved ...
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Deriving Quaternion Angular Velocity
This page says that Quaternion Angular Velocity is given by
$$\frac{d\vec{s}}{dt} = \vec{w} \bigotimes \vec{s}.$$
Where this is interpreted as Quaternion multiplication.
He derives this by arguing ...
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When is $L=I\omega$ not valid and why? [closed]
I was reading about that angular momentum $L=I\omega$ is not valid when the body is not symmetrical why so? We can still find the m.o.i. By integration so why the condition?
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Angular velocity basics
Is angular velocity only defined for circular motion or can it be described for lets say projectile motion as well?
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Electromagnetics: how to find armature value $K$? [closed]
A question has asked me for a steady state angular velocity at no load.
The formula I have is: $$V=e= K \ \phi \ \omega$$
To find $K$ (the armature value) the solutions have used $2/\pi$.
Another ...
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Components of Earth's angular velocity when vertical axis is aligned with apparent gravity
I've been reading the book "Classical Mechanics" by John Taylor, and in the chapter about noninertial reference frames, it states that the direction of $g$ (the apparent gravity, which ...
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Off-centered IMU and how to determine the centripetal force acting on it
I apologize if this is the wrong place to ask questions about IMUs and how they work. My question is: if a 6-DOF IMU is placed off-center from the center of mass of the body being measured, and the ...
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Tendon excursion method application/alternative for joint represented by quaternion in biomechanics
I am building a biomechanical model that consists of spherical joints. I wanted to represent these spherical joints by quaternions. I am struggling to derive how the muscles contribute to the ...
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Angular Velocity of 3D object rotating in space
For a sphere rotating about z axis, its angular velocity is rate of change of angle of a radius vector in xy plane with x axis or y axis. I understand this clearly. But consider a 3d body which is not ...
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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, ...
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