The time derivative of angular position used when studying rotating objects or systems.
Questions tagged [angular-velocity]
801 questions
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What is the relation between centripetal acceleration and radius in uniform circular motion?
In uniform circular motion we know that $a_c=\frac {v^2}r=\omega^2r$.So,is $a_c$ directly or inversely proportional with $r$ and why not the other is true?
Thanks for any help.
Soham
- 775
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A question on deriving a formula for a rotational object
I have this question assigned, but I really am stuck on how to do it:
A bullet is shot through two cardboard disks attached a distance $D$ apart to a shaft turning with a rotational period $T$, as shown.
Derive a formula for the bullet speed $v$ in…
matryoshka
- 805
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2 answers
How does the distribution of the mass of an object affect its angular velocity?
I was wondering if someone could explain to me how the distribution of mass affects angular momentum. I have tried to do some research but had no luck anywhere.
Sherwood
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Time for a wind-battred door to slam
Foolishly leaving the window too widely open, earlier today my bathroom door slammed shut with the wind. How could I theoretically work out the time it takes to close?
Would it be impossible to reach an answer based on the conservation of energy,…
Meow
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Angular velocity from orientational displacement
A 3-dimensional object is rotating around an unknown 3-dimensional axis through the object's center of mass. Its orientation is described by two unit vectors. I know an initial orientation and a final orientation and the time in between $\tau$. Four…
Markus Fjellheim
- 139
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3 answers
Angular motion about a point
If a rigid body is undergoing pure rotational motion about its centre of mass, we know that angular speed of all points on the rigid body is same with respect to the centre of mass. Then let's say if we take another arbitrary point, P outside the…
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"Anguler velocity calculation with varying acceleration"
As you can see from the image we have inverted pendulum stick fixed to ground by the point "K".Rotation of the stick around is only movement.System has no gravity and friction.Only "F" force is applied to the point "P".The system is exposed this…
Enes Kuz
- 13
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Understanding angular velocity in spherical polar coordinates
I'm a first year physics student and i've just learnt this equation for angular velocity in spherical polar coordinates:
$\omega=\dot{\phi}\mathbf{e_z}+\dot{\theta}\mathbf{e_\phi}$
The diagram i am using is on the RHS of this…
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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 linear velocity , so when you let go of it what will…
Mike
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angular velocity of rigid body
I am doing some physics for a game.
I have a rigid body defined as multiple balls of the same mass distributed to make some object.
Let's say I put to each ball a different velocity but because it is a rigid body the only thing that matters in the…
porente
- 103
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How do I calculate the necessary velocity of two reels of tape to maintain constant tension on the tape?
I have a real-world problem that I'm quite certain can be solved with a formula. Unfortunately I myself am not particularly skilled in the realm of physics or math. Any and all help is very much appreciated!
I have a cassette tape. It's on a…
ViuLab
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Shouldn't the net acceleration in circular motion always be zero?
I just learned the derivation of the acceleration vector in circular motion. I know that acceleration vector has two components which are centripetal acceleration($\omega^2ra_r$) and tangential acceleration($r\alpha a_t$). But since these components…
Abhishek Mhatre
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