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Questions tagged [angular-velocity]

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

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Mechanics & Angular motion [on hold]

The added pictures show the problem and my attempt to a solution. My answer is off by a factor of 1/2, as the answer is given as v = ½vₐtanθ. I feel at this point, the problem is more conceptual than ...
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15 views

How do I calculate the velocity (after the collision) of a pinball colliding with moving flippers [on hold]

I am working on a pinball game implementing all of the physics myself. I'd like to know how I would calculate the balls velocity after a collision with moving flippers. We are assuming there is no ...
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0answers
30 views

Basic doubts about dynamics of a rod [on hold]

I have few doubts in the given solution. It says there is no force along the plane but $mgcos\alpha$ is acting along the plane ? As given, $A$ is used as orgin. Then how come x-co-ordinate of $G$ is ...
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5answers
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Why are the units of angular acceleration the same as that of angular velocity squared?

According to this answer, the units for angular velocity squared are $\mathrm{rad}/s^2$. The units for angular acceleration are also $\mathrm{rad}/s^2$. Why is this the case?
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Building a cool Fan [closed]

I am building a cool ceiling fan. Its going to have 3 blades with one master blade that is 6 ft. long, its center of rotation will be at 3 ft. obviously. On the to opposite ends of the master blade ...
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1answer
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Velocity And Angular Velocity Of A Sphere Rolling Down A Ramp

I was given a question on a recent test that asked me the following: A sphere is allowed to roll down a smooth inclined plane (No Friction), as it rolls down does its velocity remain constant, and ...
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2answers
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What properties must a smoothly spinning toy top have?

It would seem that there is some open source software that would allow you to create objects of a certain volume, even with arbitrary shape (I'm thinking blender and some of it's addons.) Now, I know ...
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22 views

Need some explanations on the cornering force (car physics)

I am currently developing a car game, including his arcade-style physics from scratch. To do this, I used this tutorial Development of a car physics engine for games and this Car Physics for Games ...
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2answers
39 views

Rotating object on table: from sliding to rolling

A object which is rotating around a horizontal axis is placed on a surface, and starts sliding (with kinetic friction). After some time, it starts rolling without sliding through the table. The goal ...
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How is Angular Momentum conserved about an axis on the road perpendicular to direction of motion for an ELECTRIC Vehicle accelerated on it?

Torque by friction is 0 and I don't find any other torque about this axis to increase the angular momentum of the Vehicle.
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2answers
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Velocity of earth due to the rotational motion of the earth moon system about the center of mass

I calculated the location of the centre of mass of Earth-Moon system using $$\frac{\sum m_ix_i}{M} = \frac{mx}{M}$$ where m is the the mass of the Moon $= 7.35\times10^{22} kg$, x is the distance ...
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1answer
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If the Sun moves across the ground at 0.25 nautical miles per second, why do shadows move very much slower? [closed]

This title has been discussed previously on this site here. Question: Shadows from the sun moves fairly slow across the ground. Maybe a centimeter per sec. however, I calculated that the sun is ...
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0answers
26 views

Angular momentum, velocity and center of mass

I have a small question. Assuming I hold a given stick A with weight mA, which has a Weight B with mass mB attached to it, start rotating and release at any point. The general movement would be ...
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1answer
42 views

Why does bike trip on the opposite side when turning the handle?

It can be observed on a stationary bike and also on a moving bike that on giving a jerk on the handle the bike leans to the opposite direction in which the jerk is given. Is it due to angular momentum,...
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3answers
47 views

Coriolis force decomposition of angular velocity [closed]

I can’t for the life of me understand how the $\omega$ in this is decomposed to $$\vec{\omega}= \omega (-\sin(\theta),0, \cos(\theta))$$ Any help would be greatly appreciated!
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1answer
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Does the centre of mass of a circular object such as a cylinder or sphere rotate? [duplicate]

Say I pushed a cylinder to roll on a flat surface with velocity v, the point at contact with the floor will have zero velocity in order for the cylinder to not slip - which implies the point at ...
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0answers
41 views

Solid rotates about $n$ axes

A solid rotates about $n$ axes intersecting at one point. The absolute value of angular velocities of each rotation $|\boldsymbol{\omega}_k|\,(k=1,..,n)$ are constant. Find the angular velocity vector ...
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1answer
21 views

angular and linear velocity of an object let go of while spinning

Can someone explain to me what exactly happens when let’s say you are holding an object like a 1 ft x 6 ft piece of wood. When you are spinning every part of the wood is spinning at a different ...
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1answer
73 views

Integrating rigid body equations for a game engine simulation

I'm a mechanical engineer who's trying to implement a physics engine for a 3D game simulation, so I apologize for being incorrect or simply ignorant of some aspects of computation. I'm implementing ...
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1answer
30 views

Gymnastics angular velocity help

I was confused by another equation again. Would appreciate it if anyone sheds light for me! Consider the following question: A teacher demonstrates a giant pirouette (legs fully extended, body ...
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2answers
142 views

What is the physical interpretation of dividing $2\pi$ by a variable?

Looking at the angular wavenumber eqn: $$k = \frac{2\pi}{\lambda} = \frac{2\pi\nu}{v_p} = \frac{\omega}{v_p}$$ I'm curious what it means to divide $2\pi$ by the wavelength and why $2\pi$ was chosen....
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Relation between rotation vector derivative and angular velocity when the rotation angle is constant

$\def\va{\vec{\alpha}} \def\vw{\vec{\omega}} \def\vn{\vec{n}}$Let $\va(t)$ be a rotation vector such that its direction is the rotational axis and its length $\alpha=|\va|$ is the angle describing the ...
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1answer
47 views

Angular velocity by velocities of 3 particles of the solid

Velocities of 3 particles of the solid, which don't lie on a single straight line, $V_1, V_2, V_3$ are given (as vector-functions). Radius-vectors $r_1, r_2$ from third particle to first and second ...
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Integration of Euler rate of change

I am working on a project for designing an autonomous boat and for my kinematic model, I would like to use the body-fixed angular velocity to mathematically estimate the orientation of the boat in ...
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1answer
103 views

Calculate Linear Velocity and Angular Velocity After Collision, in SceneKit [closed]

Here is an attached scheme which i want to write my own custom wall reflection method to simulate the ball collision having right (or left, or top/back) spin. As an example, i have created wall node ...
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1answer
98 views

Rotational Kinematics and Angular Velocity Vector Transformation

Say we have a rigid body with a body-fixed coordinate system XYZ and an inertial coordinate system (North - East - Down) XoYoZo. If we use the x-y-z convention and rotate the body fixed frame first ...
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2answers
132 views

Speed of the rotating block [duplicate]

Problem: A block tied to a string is rotating with an angular velocity $\omega$ on a frictionless table. The string passes through a hole in the center of the table. If the string is pulled and the ...
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2answers
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Is the right hand rule a trick to avoid tensors?

I have read in this answer that "to represent angular momentum as a vector you need to use a right hand rule. This is annoying, because physics at ordinary scales is reflection invariant but ...
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1answer
51 views

Proof regarding curl of a vector [closed]

I'm stuck in this problem where we need to prove that the curl of the velocity vector is twice the angular velocity of a rigid body in circular motion. How do I prove it? I am very new to the concepts ...
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1answer
66 views

An interesting problem from circular motion [closed]

Consider this situation: Two individuals are seating side by side on a Merry-go-Round moving with angular velocity $\omega$) seats they are just seating next to one another. Now the person A is ...
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1answer
28 views

calculate the time elapsed for a robot to pass certain distance with a load [closed]

For a robotics project I wanted to find the optimal gear ratio for my robot to travel 10 meters. Unfortunately. the acceleration is nonconstant, and that proved to make my life much harder. I think I ...
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1answer
40 views

Calculating angular velocity of rolling object with just gravity?

From what I have learned, you can calculate what the angular velocity of an object will be based on its potential energy. Say there is a situation where: acceleration due to gravity = 10 m/s² ...
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0answers
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forward and angular velocity addition

I share some data here which is related to my question. ...
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1answer
61 views

How to calculate the radius of a curve based on vehicle wheel speeds of a car

I have data of the 4 differen wheelspeeds of a vehicle during driving time. Based on that I want to calculate the radius of a curve it is taking. The following are my current thoughts that seem to be ...
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2answers
43 views

Speed of two objects orbiting around a central axis

This question has been bugging me for quite some time and i'm not too sure if i'm missing out some important factor in the understanding of this scenario: Given two objects of equal mass and size ...
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3answers
91 views

rotation matrix in quaternion representation

is the the rotation matrix corresponding to the quaternion different from the rotation matrix corresponding to the quaternion error (between desired and actual value) ? Let $\mathrm{Q}$ be the ...
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0answers
105 views

Do symmetric angular velocities lead to symmetric axis of rotation observed in a fixed frame?

It has been observed that some insects with relatively small stroke amplitudes (such as mosquitos) take advantage of a translating axis of rotation to generate lift where insects with larger stroke ...
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1answer
67 views

Time derivative of vector in rotating frame with angular velocity about a rotating axis

In general, I know that if you have a vector $\vec{F}$ in a rotating frame, and the frame has an angular velocity $\vec{\Omega}$ that the time derivative of $\vec{F}$ in a fixed frame would be $$\frac{...
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1answer
56 views

Why is the derivative of the quaternion equal to the Kronecker product of the quaternion itself and the angular velocity?

the dimension of $ \dot{\mathrm{Q}}(t)$ is 4x1 but the following product is 4x4 $$ \dot{\mathrm{Q}}(t)=\frac{1}{2}\mathrm{Q}(t)\otimes\overline{\Omega}(t)\ , (1) $$ equation (1) is part of the ...
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1answer
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Question about angular speed

Lets assume that the motions of the Moon around the Earth and of the Earth around the Sun are uniform circular. If $\omega_L, \omega_T$ are the respective angular speeds find $\omega_L/\omega_t$. ...
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2answers
249 views

The angular velocity

Is the angular velocity of a rigid body about any point the same as that about the axis of rotation. Also, can we even define angular terms (Angular Velocity, Angular Acceleration, etc) about any axis,...
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1answer
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Why angular velocity is increasing by time and not decreasing due to friction/conservation of energy law? [closed]

This first picture has the question A ring of mass $M_1$, radius $R_1$, and rotational inertia $MR^2$ is initially sliding on a frictionless surface at a constant velocity $v_0$ to the right, as ...
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3answers
632 views

How rotating body have same angular velocity and acceleration

Does a body rotating about a fixed axis have to be perfectly rigid for all points on the body to have the same angular velocity and the same angular acceleration
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2answers
55 views

How to nullify effect of Centrifugal force/centripetal force

I have a track over which a rectangular object moves. The object holds sensitive material which should not move too much. Then there is a 90 degree turn of the track with some radius of curvature. ...
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3answers
69 views

Is Moment of Inertia, always, independent of angular velocity? [closed]

I once heard in a ted talk that the elementary particles like electron and proton can exist in two different positions at the same time. Now,I'm trying to understand a rotating rod from this ...
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1answer
144 views

Why angular velocity is a vector quantity? [duplicate]

Angular displacement isn't a vector quantity (according to some websites) then how angular velocity can be a vector? shouldn't it be a scalar?
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1answer
51 views

Calculation of polar velocity components given cartesian counterparts

I would like to calculate the polar velocity components given the position $(x,y)$ and velocity $(u_x,u_y)$ in Cartesian coordinates. First of all, $$ r=\sqrt{x^2+y^2}\text{ and }\theta=\tan^{-1}\left(...
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2answers
112 views

Why does Wikipedia state that angular velocity is equal to angular frequency? [duplicate]

Isn't Wikipedia wrong? At the Wikipedia article Angular frequency it says that angular frequency and angular velocity are equal. But how on earth are they equal? Angular velocity is changing all ...
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3answers
76 views

When the oscillator is a system with an angle can we define the angular frequency to be the radians per unit time covered by the system itself?

I read on stackechange that in springs or any one dimensional oscillator the angular frequency is just describing a rate of angle change in the associated circle on which it's projected. Something ...