Understanding Circular Motion: Accelerations and Inertial Forces

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In circular motion, the primary accelerations identified are angular, centripetal, and linear, with centripetal acceleration being the only one present when speed is constant. If the speed changes, a tangential component of acceleration, referred to as linear acceleration, is introduced alongside angular acceleration, which is proportional to linear acceleration. The relationship between these accelerations is not independent; they are interconnected through the radius of the circular path. An inertial force acts opposite to linear acceleration, confirming that all particles in accelerated motion experience such forces. Overall, understanding these relationships is crucial for analyzing motion in a circular path.
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How many accelerations are there in circular motion ?
1) Angular
2) Centripetal
3) Linear
is this right ?
and if a particle in accelerated motion always experiences an intertial force,
does an inertial force act opposite to linear acceleration ?
 
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I am assuming that the Linear Acceleration is the acceleration from the center of mass.
 
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Circular motion is two dimensional. There can only be two independent accelerations.

Your (1) and (3) are related to each other through the radius.
 
If an object is moving in a circle at a constant speed, then the only acceleration is "centripetal", toward the center of the circle. If the speed is changing (i.e. the length of the velocity vector is not constant) then there will also be a component of acceleration tangent to the circle- which is what I think you mean by "linear acceleration". In that case the angular velocity would also change: there will be angular acceleration but, as Gokul43201 said, that is proportional to the linear acceleration, they are not independent.
 

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