Why centripetal force does not increase the value of tangent

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Discussion Overview

The discussion centers on the nature of centripetal force and its relationship with tangential velocity, exploring why centripetal force does not affect the speed of an object moving in a circular path. Participants examine definitions and vector components in the context of physics.

Discussion Character

  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant notes that a textbook states centripetal force is perpendicular to tangential velocity, which leads to confusion about whether centripetal force can increase tangential velocity.
  • Another participant asserts that centripetal force, by definition, changes the direction of velocity but not its magnitude, using the example of a car on a winding road to illustrate constant speed despite changing direction.
  • A participant reiterates the definition of centripetal force and expresses a desire to understand the reasoning behind this principle.
  • Another participant discusses vector decomposition, suggesting that while a vector can have components perpendicular to it, these components cancel each other out, resulting in no net effect on the original vector.

Areas of Agreement / Disagreement

Participants express differing views on the implications of centripetal force on tangential velocity, with some agreeing on the definition while others question the reasoning behind it. The discussion remains unresolved regarding the impact of centripetal force on speed.

Contextual Notes

Participants reference definitions and vector components, but there are unresolved assumptions about the nature of force and motion that may influence their arguments.

Sbr:132
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I found in a textbook that the value does not change because the centripetal force is perpendicular to the tangential velocity.

But I am confused, because a vector can have a component, which is perpendicular to the vector.
So if the centripetal force is perpendicular to the tangential velocity, the component of the centripetal force which
is perpendicular to the centripetal force and
_parallel_ to the tangential velocity is reasonable.so according to that centripetal force can increase the value of tangential velocity.I need help.I have searched everywhere but have not got the answer.
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By definition, centripetal force is perpendicular to velocity, so it changes the velocities direction but not the speed. For example, consider a car traveling at constant speed on a winding road, the direction changes, but not the speed.
 
rcgldr said:
By definition, centripetal force is perpendicular to velocity, so it changes the velocities direction but not the speed. For example, consider a car traveling at constant speed on a winding road, the direction changes, but not the speed.
I know the definition but I want to know why?
 
Last edited by a moderator:
Sbr:132 said:
a vector can have a component, which is perpendicular to the vector.
You can decompose a vector into multiple vectors, which have non-zero components perpendicular to the original vector. But those components cancel each other out, so they have no net effect.
 
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