What is the Maximum Radius for a Bucket of Water in Circular Motion?

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Homework Help Overview

The problem involves a bucket of water being swung in a vertical circle, with a focus on determining the maximum radius of the circle without the water leaving the bucket. The context is related to circular motion and forces acting on the bucket.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the use of formulas related to centripetal force and gravitational force, with some expressing uncertainty about which equations to apply. There are questions about the assumptions regarding the location of the scenario, specifically whether it takes place on Earth or another celestial body.

Discussion Status

The discussion is ongoing, with participants providing hints and guidance without offering direct solutions. There is an acknowledgment of the need for the original poster to engage with the problem further, and some participants are exploring the relationship between centripetal force and gravitational force.

Contextual Notes

There is a mention of gravitational acceleration being -9.81 m/s², and participants are questioning the implications of this value in the context of the problem. The original poster has expressed uncertainty about the necessary formulas and how to approach the question.

Redjakk1
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Homework Statement



A 3.75 kg bucket pile of water is swung in a vertical circle. If the speed of the bucket at the top of the loop is 6.20 m/s, then the radius of the largest circle through which this pail could move without the water leaving the bottom of the pail would be what?

m = 3.75 kg

v = 6.20 m/s

r = ?

I was thinking to use Fc = mv^2/r but I'm not given Fc. I'm not sure what formula I should use or how to go about solving this question. Any help would be greatly appreciated.
 
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Redjakk1 said:
at the top of the loop is 6.20 m/s,
Step 1 read the question. Step 2 is to reread the question for the information you need.
 
Bystander said:
Step 1 read the question. Step 2 is to reread the question for the information you need.
What do you mean?
 
It's stated all over the forum that you are going to have to do some of the work. If I quote a piece of your original post, that is what is called a "hint."
 
Well I sort of figured that. I'm not trying to get out of doing the work, I'm just not sure what formula I should use or how I should go about the question.
 
Does the question place you specifically on the Moon? Or Mars? Or elsewhere in the solar system? You may assume that you are on the Earth's surface.
 
So g = -9.81. Is Fc equal to Fg or something like that then ?
 
Makes a good place to start.
 

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