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1 vote
1 answer
159 views

How to compute linear acceleration in 3D from change in roll, pitch and yaw angles?

We know that if a body is rotating only about $z$-axis along a circle of radius $R$ with an angular rate of $\omega$, then the acceleration of the body in 3D is $a = [0.0\ \ \omega^2R \ \ 0.0]$. Now ...
user146290's user avatar
2 votes
1 answer
69 views

(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 ...
Stanley's user avatar
  • 21
0 votes
2 answers
328 views

Does a simple pendulum have some radial acceleration at its extreme positions where its speed becomes zero?

Suppose we have a simple pendulum swinging between two extreme positions. At the extreme position its speed becomes zero. As per this reason can I say that at extreme positions radial acceleration (v^...
Shinnaaan's user avatar
  • 1,357
0 votes
1 answer
579 views

I am very confused about net acceleration and angular acceleration in circular motion [closed]

I have seen in many places that angular acceleration can be zero but net acceleration can't be zero in circular motion. I want to know whose components are tangential and radial acceleration (net or ...
Utkarsh's user avatar
  • 51
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
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
1 answer
87 views

Can we measure little $g$ in this way?

If a cup of water (known mass) is whirled round at the end of a string, and we look for the exact angular velocity which makes water remain in the cup, is it possible, by knowing the force equilibrium,...
user avatar
1 vote
1 answer
112 views

What will be the trajectory of the given motion [closed]

If it is given that component of acceleration perpendicular to the velocity of a body has a constant, non-zero magnitude, how can we mathematically prove that the trajectory of the body will be ...
Aumkaar Pranav's user avatar
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 ...
Shivam's user avatar
  • 53
21 votes
8 answers
112k views

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?
Conceptuality's user avatar
0 votes
2 answers
733 views

How to treat an exercise about the rotational acceleration during a throw?

Because I am studying on my own, I don't have anyone to talk to about this when I don't understand, and I was wondering if someone could help me with a concept in rotational kinematics: At the ...
ringo's user avatar
  • 101
1 vote
1 answer
537 views

Have I calculated Angular Acceleration correctly?

I am teaching myself basic mechanics from a standing start. I am trying to understand Angular Acceleration and have set myself a problem to solve. My answer 'feels' wrong, so I'd like some help to ...
user2781522's user avatar
0 votes
1 answer
205 views

Kinematics with non constant acceleration II [closed]

I'm getting crazy with this problem and I think that it's pretty simple. An helicopter's helix is spinning at initial speed $w_0=200\ rpm$, all of a sudden the motor stops and it decreases its ...
mcejalvo's user avatar
  • 411