Finding tension of a string spinning horizontally

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Homework Help Overview

The problem involves calculating the tension in a string that is spinning a 340 gram mass in a horizontal circle at a rate of 2.5 revolutions per second, with the string length being 72 cm. Participants are exploring the relationship between tension and centripetal acceleration in this context.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the potential relationship between tension and centripetal acceleration, with some expressing uncertainty about the calculations. There are suggestions to draw free body diagrams and analyze forces. Questions arise regarding the horizontal nature of the string and the implications of that assumption.

Discussion Status

The discussion is active, with various interpretations being explored regarding the clarity of the problem statement. Some participants suggest that the question may be tricky due to the horizontal assumption, while others argue it presents a learning opportunity. Guidance has been offered to draw free body diagrams to aid in understanding the forces involved.

Contextual Notes

There is an ongoing debate about the clarity of the problem, particularly concerning the assumption that the string is horizontal. Participants note that this assumption may lead to confusion in calculations and interpretations.

Madelin Pierce
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Homework Statement


Spin 340 gram mass at the end of a 72 cm string in a horizontal circle around head 2.5 rev/s. Calculate tension

Homework Equations

The Attempt at a Solution


I know tension might be equal to mass times centripetal acceleration, but I’m not sure
 
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Make a free body diagram showing the forces on the mass.
 
Madelin Pierce said:

Homework Statement


Spin 340 gram mass at the end of a 72 cm string in a horizontal circle around head 2.5 rev/s. Calculate tension

Homework Equations

The Attempt at a Solution


I know tension might be equal to mass times centripetal acceleration, but I’m not sure
Not sure if that is what it is or not sure how to calculate it? Why not do the calculation anyway and see if the answer inspires you with any confidence.
 
This must be a trick question.
 
Dadface said:
This must be a trick question.
How so?
 
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Madelin Pierce said:
I know tension might be equal to mass times centripetal acceleration, but I’m not sure
Hint: Is the string horizontal?

As CWatters suggests, draw a free body diagram for the mass. Analyze horizontal and vertical forces.
 
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Dadface said:
This must be a trick question.

gneill said:
How so?
The question is unclear and implies that the string is horizontal, which is impossible.
 
Dadface said:
The question is unclear and implies that the string is horizontal.
I suppose you could do a calculation assuming the string was horizontal and IF the Tension calculates to many times the weight force, the assumption was reasonable - given the answer will be to 2 significant figures only. Otherwise the question is quite tricky, and the free-body diagram is a good, next, starting point
 
Dadface said:
The question is unclear and implies that the string is horizontal.
No, it only says that the mass moves in a horizontal circle. Students should be savvy enough to know (or discover) that the string will not be horizontal. It's a learning opportunity, not a trick.
 
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Madelin Pierce said:

The Attempt at a Solution


I know tension might be equal to mass times centripetal acceleration, but I’m not sure

This is not "The attempt at a solution".

You must at least know how to start such a problem, i.e. with a free-body diagram. Can't you at least do that and show this? Otherwise, you have a bigger problem in basic mechanics than just this question.

Please note that we can only build upon what you already know! Without you describing what you already know, there's nothing to build on.

Zz.
 

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