How fast to spin object hanging by thread to break thread

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Homework Help Overview

The discussion revolves around determining the necessary speed at which an object must be spun in a circular motion to break the thread it is hanging from. The context involves a lab setup where a mass is attached to a light string, and the goal is to measure the velocity required for the string to break as the radius is reduced.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between mass, velocity, and radius, with one participant attempting to derive a theoretical equation. Questions arise regarding the measurement of acceleration and the impact of mass on the required velocity.

Discussion Status

Some participants are exploring the geometry of the problem and questioning the clarity of the original question. There is an ongoing effort to clarify the relationships between the variables involved, with one participant expressing confusion over their calculations and seeking assistance.

Contextual Notes

There are indications of potential misunderstandings due to the wording of the original question, which may be affecting participants' approaches to the problem. The discussion includes considerations of how mass influences the required velocity for breaking the thread.

Nikki1357
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Homework Statement


If an object is hanging by a thread, how fast must it be twirled around in order to break the thread? (must also provide explanation of why this is the velocity).
As a part of a lab, pick a certain mass. Attach to light string (easily breaks) and pull the string through a cylindrical tube with blunt edges that won't cut the string. Spin mass in circle and reduce the radius, thus increasing the velocity, until mass breaks.

Homework Equations


F=mv^2/r
F=mw^2r
v=vo+at
v=wr
v/r=w

The Attempt at a Solution


If videotaped I know I can find the radius. I will be able to weigh a mass. I need help understanding the quickest way to measure acceleration. If I know the acceleration my plan it to time it to find when the mass breaks off and then use the 3rd equation from above to solve for the velocity (knowing it starts from rest).
 
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Let's start with the first part of the question .

Draw a diagram showing the geometry of the problem and mark in all the information that you think is relevant .
 
@Nikki1357

I see that you have been back for a look but not posted any reply . Does this help at all ?

PF01.jpg


The original question is badly worded and this may be causing you some needless difficulties .
 
Last edited:
Hello. Sorry for not replying, but now I have a theoretical relationship between the variables involved. When I solve this equation mass is eliminated, but I know that increasing the mass will lead to a lower velocity and it must be included in the equation. I don't understand where I went wrong in my calculations. Please help!
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