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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
1 vote
3 answers
3k views

Why normal acceleration doesn't bring a change in speed?

Suppose There's a particle of mass m moving with speed $v_{0}$, at certain moment a force starts acting on it (centripetal force) and it start uniform circular motion Now every other reference states ...
Xasel's user avatar
  • 373
0 votes
5 answers
16k views

tangential acceleration for uniform circular motion

I understand that circular motion is defined by 2 components of acceleration, one tangential and one radial and their resultant is what causes circular motion. I am confused though as to why it is ...
SoHCahToha's 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
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
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 ...
aa bb's user avatar
  • 21
0 votes
1 answer
22k views

What is negative angular acceleration?

I was doing an exercise in physics and I noted that the angular acceleration was negative. What does that mean?
ertr's user avatar
  • 1
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