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-1 votes
2 answers
724 views

In rotational motion, why $a = rα$?

The formula of torque is given by $$τ= F*r = Iα,$$ while solving some questions I came across a question of rotating pulley where these two formulas were equated to find value of $α$. How $a=rα$? a ...
Anshuman Bharadwaj's user avatar
13 votes
12 answers
6k views

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, ...
R S's user avatar
  • 349
0 votes
3 answers
821 views

Condition for pure translational motion

Q:If we know that the acceleration vectors of all points of the rigid body are equal to each other at all points of time, can we conclude that the body is undergoing pure translational motion? I ...
Mysterio's user avatar
1 vote
1 answer
104 views

Wheel slips and weight

With rainy season starting, I have been thinking about traction and have a question: Question: If two identical vehicles, one of mass $m$ and the other of mass $2m$ are starting from rest with equal ...
Josh's user avatar
  • 13
2 votes
1 answer
125 views

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 ...
Deschele Schilder's user avatar
6 votes
5 answers
1k views

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 ...
satan 29's user avatar
  • 1,295
5 votes
3 answers
2k views

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 $a_t$ ...
Curious 's user avatar
1 vote
3 answers
595 views

Angular Acceleration v. Centripetal Acceleration

What is the difference between angular acceleration and centripetal acceleration? Don't they both apply to circular motion?
ah123's user avatar
  • 331
1 vote
1 answer
371 views

Acceleration of a Point on the Edge on a Rolling Cylinder

Consider a cylinder with radius $R$ rolling without slipping to the right. The center of mass is rolling with a velocity of $v$. Consider the left most point, $p$, on the cylinder. What is the ...
Fluidized Pigeon Reactor's user avatar
0 votes
1 answer
446 views

Calculating acceleration of an object using $x$, $y$ and $z$ coordinates [closed]

I have x, y and z coordinates for a test I had carried out for a tool. I had an accelerometer installed on the tool and I used two types of motion to move the tool, rotation and translation. Right now ...
Majid ALZADJALI's user avatar
0 votes
0 answers
65 views

Does acceleration of the rim mean just tangential or both tangential and centripetal acceleration?

On my physics homework, the problem specifies that the acceleration of the rim of a flywheel can't exceed 100g. Does this mean that the tangential acceleration only, or the sum of the tangential and ...
Adrian's user avatar
  • 1
2 votes
3 answers
113 views

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. ...
Random's user avatar
  • 88
1 vote
2 answers
3k views

Find the time when tangential acceleration is equal to radial acceleration [closed]

A particle begins to move along a circular path of radius R with a constant magnitude tangential acceleration of $a_t$. After time $t$ it's the centripetal acceleration is equal in magnitude to ...
Tony's user avatar
  • 132
0 votes
2 answers
235 views

Intuition for formula of tangential component of acceleration in general curvillinear motion

In certain problems of plane motion, the position of the particle P is defined by its polar coordinates $r$ and $\theta$. It is then convenient to resolve the velocity and acceleration of the particle ...
sarthak-ag's user avatar
0 votes
1 answer
133 views

When a body completes one revolution around a circular path will its acceleration be 0?

When a body is moving in a circular motion the acceleration keeps changing, will it be zero when it comes back to the same point it started from(will the average acceleration be 0?)
Pranav's user avatar
  • 1

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