How is tangential accleration zero in uniform circular motion?

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Homework Help Overview

The discussion revolves around the concept of tangential acceleration in the context of uniform circular motion. Participants are exploring why tangential acceleration is considered zero when the magnitude of tangential velocity remains constant, despite changes in direction.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Some participants attempt to reconcile the definition of tangential acceleration with the characteristics of uniform circular motion, questioning how acceleration can be present if the speed is constant. Others raise the point that while tangential acceleration is zero, there is still a radial (centripetal) acceleration due to the change in direction.

Discussion Status

The discussion is active, with participants providing insights into the nature of acceleration in uniform circular motion. Some have offered explanations regarding the relationship between tangential and radial acceleration, while others continue to question the implications of these concepts.

Contextual Notes

Participants are navigating the definitions of acceleration and its components, particularly in the context of uniform circular motion, where the distinction between tangential and radial acceleration is critical. There is an ongoing exploration of why uniform circular motion is classified as accelerated motion despite the absence of tangential acceleration.

pcsx22
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How is tangential acceleration zero in uniform circular motion??

Homework Statement


the magnitude of tangential velocity is same but the directions are different..so how can the tangential acceleration be zero??


Homework Equations





The Attempt at a Solution

 
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pcsx22 said:

Homework Statement


the magnitude of tangential velocity is same but the directions are different..so how can the tangential acceleration be zero??

Homework Equations


The Attempt at a Solution

I'm afraid that I don't understand the question.
 


pcsx22 said:

Homework Statement


the magnitude of tangential velocity is same but the directions are different..so how can the tangential acceleration be zero??


Homework Equations





The Attempt at a Solution


Acceleration vector would point to the center ( 0, 0 ) causing a radial(only) acceleration as in circular motion.
 


You just answered the question yourself; it's because the tangential velocity (magnitude) is the same. If there were any tangential acceleration, the magnitude would not be constant. The only acceleration in this case is normal acceleration (i.e. centripetal acceleration) which causes the direction to change.
 


Pi-Bond said:
You just answered the question yourself; it's because the tangential velocity (magnitude) is the same. If there were any tangential acceleration, the magnitude would not be constant. The only acceleration in this case is normal acceleration (i.e. centripetal acceleration) which causes the direction to change.

if tangential acceleration is considered to be zero in uniform circular motion then why is uniform circular motion is called accelerated motion??
 


pcsx22 said:
if tangential acceleration is considered to be zero in uniform circular motion then why is uniform circular motion is called accelerated motion??
The velocity vector continually changes direction. Any change in velocity, magnitude or direction, is an acceleration. In uniform circular motion, the magnitude (speed) doesn't change but the direction does. The tangential component of acceleration is zero, but the radial component is not.
 

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