Centripetal Force Minimum Period Question

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Homework Help Overview

The problem involves a rock being spun in a horizontal circle, where the tension in the string must not exceed a certain limit to avoid breaking. The subject area pertains to centripetal force and circular motion dynamics.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between maximum tension and minimum period, with some questioning the clarity of the equations used. There is an exploration of how the maximum speed relates to the minimum period in the context of circular motion.

Discussion Status

Some participants have provided feedback on the calculations and the presentation of the equations. There is ongoing clarification regarding the relationship between tension and period, with no explicit consensus reached yet.

Contextual Notes

Participants note that the equation used is from the textbook, and there is some confusion regarding its presentation. The discussion also highlights the constraints of the problem, particularly the maximum tension limit.

Lax0
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Homework Statement


A boy ties a 3.00kg rock to a 0.70 m string and begins spinning it around in a horizontal circle at a constant speed. If the string will break if the tension is greater than 80.0 N, what is the minimum period for the rock to spinning in a circle. How do i solve this?


Homework Equations



m4∏^(2 ) r/T^2

The Attempt at a Solution


80.0= (3.00)4∏^(2)(0.70)/T^2
T= 1.02
 
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Looks good. I get a very slightly larger answer; might be worth running it through the calculator again.
 
Your equations written as pie squared r instead of pie r squared, i think you did it right but it looks weird
 
anaximenes said:
Your equations written as pie squared r instead of pie r squared, i think you did it right but it looks weird

its the equation in the textbook. So can you explain how max tension gets minimum period?
 
Lax0 said:
its the equation in the textbook.
Yes, the equation is correct, though it does look odd at first sight.
So can you explain how max tension gets minimum period?
The stone has a certain distance to cover, 2πr, in one period. So minimum period means maximum speed, and that means maximum tension.
 
Sorry your right, its so weird seeing pie digitally
 

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