Centripetal Force in Uniform Centripetal Motion: Direction?

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Homework Help Overview

The discussion revolves around the concept of centripetal force in the context of uniform circular motion. Participants are exploring the relationship between centripetal acceleration and the direction of centripetal force, as well as the implications of net force in circular motion.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the direction of centripetal force in relation to centripetal acceleration. There are discussions about the implications of net force being zero and how it affects circular motion. Some participants are also considering the role of other forces, such as tension and gravity, in contributing to centripetal force.

Discussion Status

The discussion is active, with participants providing insights and clarifications regarding the nature of centripetal force. There is an exploration of different scenarios, such as the effect of air friction and the role of tension in a spring scale setup. No explicit consensus has been reached, but various interpretations and clarifications are being examined.

Contextual Notes

Participants are considering the implications of net force being zero in a circular motion context, which raises questions about the conditions necessary for uniform circular motion to occur.

UrbanXrisis
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in uniform centipetal motion, the centipetal acceleration points towards the center, what about the centipetal force? What direction does this force point?
 
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Acceleration is always in the direction of the unbalanced force. The centrifugal force (inertia) wants the motion to continue its direction at any given moment. However, the centripetal force keeps the motion and force towards the center.
 
so the centripetal force acts towards the center too?
 
UrbanXrisis said:
so the centripetal force acts towards the center too?
Of course. As you noted, an object in uniform circular motion is centripetally accelerated. And, by Newton's 2nd law ([itex]\vec{F} = m\vec{a}[/itex]), the net force and acceleration point in the same direction: towards the center.

By the way, the word "centripetal" means "towards the center". :smile:
 
So if I was twriling a ball connected to a spring scale. And there was enough air friction to make the net force=0. Then what would be the relationship between the force the spring scale reads vs the centripetal force?
 
If the net force were zero, then the ball would not be twirling in a circle. :smile: For the ball to move in a circle, there must be a non-zero net force on it; if the ball is moving at a constant speed, then that net force must point towards the center of the circle.

If you twirl a ball connected to a spring scale, then the spring scale reads the tension you are exerting on the ball. The component of that force acting towards the center will contribute to the centripetal force. (But other forces, such as gravity, may also contribute to the centripetal force.)
 

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