All Questions
Tagged with rotational-kinematics acceleration
55
questions
21
votes
8
answers
112k
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A simple derivation of the Centripetal Acceleration Formula?
Could someone show me a simple and intuitive derivation of the Centripetal Acceleration Formula $a=v^2/r$, preferably one that does not involve calculus or advanced trigonometry?
- 373
13
votes
12
answers
6k
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Why is acceleration directed inward when an object rotates in a circle?
Somebody (in a video about physics) said that acceleration goes in if you would rotate a ball on a rope around yourself.
The other man (ex Navy SEAL, on YouTube too) said that obviously it goes out, ...
- 349
10
votes
4
answers
46k
views
What is the relation between angular and linear acceleration?
I am wondering, when solving rigid body exercises, how can I express the relationship between linear and angular acceleration for a general case? E.g. what would be the linear acceleration in function ...
- 309
6
votes
5
answers
1k
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Finding accelerations using Instantaneous axis of rotation
Disclaimer: I present a question which is homework-like, However it is simply to demonstrate an example. I only wish to clarify one thing, that is the validity of the IAR in determining the ...
- 1,295
5
votes
3
answers
2k
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Does tangential acceleration change with radius? [closed]
Do tangential velocity and tangential acceleration change with radius (change of radius on the same object)?
For example consider a spinning disk. Does the equation $$a_t = \alpha R$$ (where $a_t$ ...
- 87
4
votes
4
answers
427
views
Centripetal force equation doubt
In a centrifuge, $a_c$ should be constant. If $m$ increases, the $r$ will increase in order to maintain a constant $a_c$.
Constant centrieptal acceleration is given by
$a_c={ v^2 \over r}$
and $a_c = ...
3
votes
5
answers
20k
views
Radius of centripetal acceleration
Suppose you are moving in circle of radius $r$. So there should be centripetal acceleration towards the center. Now you want to decrease the radius of the circle, so someone should apply more ...
- 53
3
votes
3
answers
1k
views
instantaneous velocity center
The instant center of rotation, also called the instantaneous velocity center is the point fixed to a body undergoing planar movement that has zero velocity at a particular instant of time. For ...
- 4,377
2
votes
1
answer
69
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(Circular motion) Acceleration is given, so why asked for more? [closed]
The full question is below.
A car starts from rest and moves around a circular track of radius $32.0\,\text m$. Its speed increases at the constant rate of $0.500\,\text{m/s}^2$.
(a) What is the ...
- 21
2
votes
1
answer
39
views
Finding Average Acceleration with only given angle [closed]
A car enters a curve in the road with a speed of 32 m/s and emerges from this curve 4 s later with the same speed. However, the direction of the velocity changes by 150 degrees during this time.
What ...
- 21
2
votes
1
answer
125
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About the water surface in a accelerated cylinder
After I woke up this morning while sitting at our table I looked at a plastic bottle of cola lying on the floor. Please, don't think it's a mess out here. It just lay there. I put it nicely back on ...
2
votes
3
answers
113
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What is wrong with this reasoning?
Suppose a particle is rotating about a point at a distance $r$, then since $r$ is constant $\frac{\text dr}{\text dt}=0$ so the component of velocity along the position vector should be zero. ...
- 88
2
votes
1
answer
952
views
Kinematics for Non-Uniform Circular Motion
I'm trying to understand how kinematics for non-uniform circular motion. I know that you can represent the net acceleration of an object in non-uniform circular motion with the following equation:
$$...
2
votes
1
answer
2k
views
How will "a block on a turntable" move when the turntable move very fast?
If there is a block that is placed at the rim of a turntable, and we start rotating this turntable, I know that while the turntable is rotating, a centripetal force is acting on the block. This force ...
- 135
1
vote
3
answers
3k
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Why the similarity in the Equations of Motion for Rotational and Rectilinear Motion?
These are the equations of motion given constant acceleration, for first rectilinear and then rotational motion.
Rectilinear Motion:
Rotational Motion:
While the variables have changed, and the ...
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