What Is the Difference Between Tension Ratios of 3 and 9?

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Homework Help Overview

The discussion revolves around understanding the differences in tension ratios of 3 and 9 in a physics context, specifically related to forces in circular motion. Participants are exploring the implications of these ratios on the forces involved in swinging motion.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to relate tension ratios to the forces required for circular motion. Questions arise about the interpretation of tension values and how they connect to the equations of motion, particularly regarding the role of speed and other variables.

Discussion Status

Some participants have offered insights into the relationships between the variables involved, suggesting that the focus should be on the qualitative understanding of the equations rather than numerical solutions. There is an indication of productive dialogue, with some clarification achieved regarding the dependencies of force on mass, speed, and radius.

Contextual Notes

Participants note the absence of specific numerical values in the problem, which influences their approach to understanding the relationships described by the equations.

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Homework Statement
a ball is tied onto a string and is swung around in a circle. If the swinging speed is tripled, what would happen to the tension force in the string?
Relevant Equations
I am actually not sure if an equation would come in play here. Is this an equation problem or kind of just an application type problem.
I was thinking it would 3 or 9 times the tension rather than 1/3 or 1/9 but that is just a guess. an explanation would help very much!
 
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An equation which links the 'swinging' speed to the force requred to keep it moving in a circle would certainly help.
 
rsk said:
An equation which links the 'swinging' speed to the force requred to keep it moving in a circle would certainly help.
Yes okay thanks. I have two formulas for that. v=2pir/t and f=mv^2/r. If I used those equations how would I apply those to the problem because I was not given numbers to plug in.
 
You don't need numbers, just look at what those equations tell you about the relation.

In the equation you've written there, F depends on m, v and r. In the question you've been given, m and r do not change, only v does. So...

you go from F = mv²/r to F = m(3v)²/r
 
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rsk said:
You don't need numbers, just look at what those equations tell you about the relation.

In the equation you've written there, F depends on m, v and r. In the question you've been given, m and r do not change, only v does. So...

you go from F = mv²/r to F = m(3v)²/r
ohhh okay that explained a lot. Thank you I got the problem right.
 
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