Questions tagged [angular-velocity]
The time derivative of angular position used when studying rotating objects or systems.
559
questions
0
votes
1answer
64 views
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 ...
0
votes
0answers
15 views
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 ...
1
vote
3answers
52 views
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 ...
0
votes
1answer
65 views
Should the angular velocity vector change by a sign for an opposite rotation
I have a vector rotating from some rotation matrix:
$$\vec{r_1} = A \vec{r_0},$$
$$A^T \vec{r_1}= \vec{r_0}.$$
To find out how this changes in time:
$$\dot{\vec{r_1}} =\dot{A} \vec{r_0} = \dot{A} A^T \...
1
vote
0answers
50 views
What makes an object absorbing angular momentum while colliding with another object?
There is a line of spinning top toys in Japan called Beyblades. So, there is a 'stadium' (surface) along which the Beyblades spin around after being set to spin at high RPMs by the players, and the ...
2
votes
7answers
212 views
Is direction of angular velocity just a definition or has a physical significance?
I am a high schooler so I don't know a lot of fancy maths but I do know some of calculus and multiplication of vectors as dot or cross product. I am learning about Angular velocity. And I am confused ...
0
votes
1answer
31 views
Understanding Angular velocity vector of statement
I have this paragraph in a book:
The vectors $T,U$ and $V=T\times U$ define a moving frame along the path $X$. Let $\Omega$ denote the angular velocity vector describing the rate of rotation of the ...
0
votes
1answer
57 views
Is Ang. Momentum Conserved about Front wheel of car?
I know that as a car accelerates on earth, for the car-earth system angular momentum is conserved.
Attached is a nice animation for simplistic proposes.
https://www.animations.physics.unsw.edu.au/jw/...
1
vote
0answers
28 views
Why is precession angular velocity constant?
I am currently studying precession, and have a question regarding the angular velocity of precession. Let's simply use a spinning top in this case. I understand that it is given by the formula
$$
\...
1
vote
2answers
52 views
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 ...
1
vote
1answer
32 views
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 ...
2
votes
1answer
31 views
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 $L_1$ &...
1
vote
0answers
23 views
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 ...
0
votes
1answer
24 views
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 ...
0
votes
3answers
34 views
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 ā w ā cos(wt+ phi)
Where omega is ...
3
votes
1answer
39 views
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 ...
0
votes
3answers
62 views
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 ...
2
votes
2answers
67 views
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 ...
2
votes
2answers
149 views
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 $\vec{Ļ}$ = $\frac {\vec{r} Ć \vec{v}}{|\vec{r}|^2}$
The equation I am aware of is ...
0
votes
1answer
65 views
Relative angular velocity of one point with respect to another on a solid rigid body [closed]
What is relative angular velocity of A wrt B and that of A wrt C in the figure given below?
Description:
A, B and C lie on a solid cylinder(rigid body) rotating with a constant angular velocity $\vec{...
1
vote
2answers
103 views
Relative angular velocity of point with respect to another point
What is relative angular velocity of one point, say A, with respect to another point, say B? Both the points lie on the same rigid body which is rotating with constant angular velocity Ļ about a fixed ...
0
votes
0answers
15 views
Rotational energy in index notation
I have a question about the meaning of an expression given in a textbook. The expression is
\begin{equation}
\frac{1}{2} \omega^{ik} M_{ik}
\end{equation}
where $M_{ik}$ denotes the angular momentum ...
0
votes
3answers
53 views
Angular acceleration
The angular acceleration is an axial vector when the axis of rotation is fixed.
Angular acceleration and angular velocity vectors along that axis.
Is there anybody who can explain this statement, ...
1
vote
2answers
68 views
Can angular momentum directly be defined in terms of angular velocity?
I don't like it being defined as $\vec{r} \times \vec{mv}$ as the angular nature is not obvious in that definition.
Suppose there's a single particle moving around. We choose an arbitrary origin. We ...
0
votes
1answer
46 views
Some concepts of circular motion between man and the Earthļ¼
I know it's a regular question, but I'm having a problem with the concept of circular motion.
Intuitively, the earth and people have the same angular velocityļ¼It's because people are standing on the ...
1
vote
3answers
93 views
Why rotating objects stops?
Sorry for asking this simple question, but really I couldn't find a good document discuss what I need exactly.
I am implementing a flight simulation, but my question is related to physics rather than ...
0
votes
3answers
39 views
Are the ideas of angular velocity, angular acceleration, angular momentum, torque, etc only helpful for rigid bodies?
For rigid bodies, all the particles can have different linear velocities but the same angular velocity, so it makes it convenient to talk about the angular velocity instead. From there, we get to ...
0
votes
2answers
41 views
Is angular velocity independent of initial force causing the motion?
Context:
I'm creating a simulated VR billiard game and trying to get the physics as realistic as possible. I have a cue ball being hit with a cue across a surface with accurate friction values ...
0
votes
4answers
116 views
Object with a uniform circular motion
A classical example of an object attached to a string and revolving horizontally with a constant angular velocity. The object is not rotating around its axis. What happens if we cut the string? Some ...
0
votes
1answer
40 views
Understanding Equation of Serpentine Locomotion [closed]
I'm trying to understand and equation for serpentine locomotion. However, I'm having a little trouble understanding it.
$$ \Phi(t) = \alpha \sin(\omega t + (i-1)\beta) + \gamma $$
I know like $t$ is ...
-2
votes
1answer
27 views
How to get radius of trail with velocity and angular velocity?
If I know the velocity of something and the angular velocity of something, how could I figure out the distance between the object and the center it is rotating at?
I just need an equation for the ...
0
votes
0answers
16 views
Motion of charge particle in oblique magnetic field
When velocity of charge particle is neither parallel nor perpendicular to magnetic field, it follows a helical path (in uniform magnetic field).
But can someone explain the magnetic bottle concept?
...
1
vote
1answer
57 views
How does circular motion begin in this case?
In the figure, Suppose the rod system(shown black) starts moving with some angular velocity say $\omega$ with the bob hanging to the string. So, after sometime the ball too rotates with the same ...
3
votes
2answers
104 views
Rotational motion and angular velocity
Why does $N=0$ when w=w critical?
What does "Mass m falls away from the drum if N ā¤ 0, when Ļ ā¤ Ļcritical" mean?
I don't understand the relationship between N and W here.
0
votes
2answers
72 views
Angular velocity, Angular Momentum and Torque considered vectors to explain gyroscope precession and related phenomena? [closed]
Are angular velocity, angular momentum and torque "real" vectors in the sense that acceleration and force are? Or are they only considered vectors to explain phenomena like gyroscope ...
2
votes
0answers
72 views
Physical interpretation of the definition of angular momentum in classical mechanics
To what I understand, the following is a valid way to introduce the angular momentum $\mathbf L$ in the Lagrangian system of a rigid body. We can consider the extended configuration space to be $M\...
1
vote
1answer
57 views
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 ...
0
votes
1answer
23 views
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 $\tau$ = $ā\theta$. The moment of inertia is ...
0
votes
1answer
30 views
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 ...
0
votes
2answers
44 views
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 ...
0
votes
0answers
52 views
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, ...
0
votes
2answers
50 views
Calculate Earth angular speed [closed]
How may I calculate Earth's angular speed at specific point (The green dot for example)?
Note: I know that angular speed $= \dfrac{2\pi}{T}$ But how may I found $T$ in this case?
I found too that $R_{\...
0
votes
1answer
71 views
Proving that the angular velocity of a rigid body is the same about any point
Please consider the below image which is from Rana and Joag, Classical Mechanics. They build on a proof, which I reiterate below and through it they show that angular velocity of any point B in the ...
4
votes
3answers
76 views
Ratio of masses of double star problem
I am currently studying Classical Mechanics, fifth edition, by Kibble and Berkshire. Problem 2 of chapter 1 is as follows:
The two components of a double star are observed to move in circles of radii ...
1
vote
2answers
45 views
What will happen if you spin a flat wheel in space?
You are isolated ( no bodies around you except the wheel) .
Now you(orange) spin the blue wheel ( torus) with an $\omega$ in the direction of axis and then let go of the wheel . Now how will you move ...
0
votes
2answers
36 views
Accelerarion and velocity of a point in accelerated circle
I want to ask about angular motion. Suppose a circle of radius $r$ rotating with angular acceleration $\alpha$. I know that the polar coordinates of a point in the perimeter of the circle is $(r,\...
1
vote
0answers
88 views
Is it true that two rigid bars welded and with corner fixed in the space must rotate with the same angular velocity?
Let's consider a point particle $A$ in motion with fixed distance from the origin. Its vector position $\mathbf{A}$ has this property:
$$
|\mathbf{A}|=\textrm{constant}
$$
By calculating $\frac{d|A|^2}...
6
votes
3answers
302 views
Angular velocity about a point vs axis
Angular velocity vector of a point $a$,relative to a stationary point $b$:
$$\vec{\omega}=\dfrac{\vec{r}\times\vec{v_{a}}}{|\vec{r}|^2}$$
Where ${\vec{r}}$ is the vector joining $a$ to $b$.
My ...
0
votes
2answers
86 views
How can all particles of a rigid body have identical angular velocity when their position vector is not perpendicular to the axis?
Consider this spinning disk, in a 3D coordinate system. It is translated above the origin of the coordinate system and spinning around the axis given by this translation vector.
Every source I can ...
1
vote
2answers
35 views
Does the angular velocity of a spinning disk increase if it has a completely inelastic collision with a object with a greater tangential velocity?
A roller of radius 10cm is spinning with a angular velocity of 15 rad/s. It has a completely inelastic collision with a hunk of clay, with mass m moving at 3m/s at it's very bottom edge. Does the ...
