What is the length of the rotating string on a string trimmer?

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Homework Help Overview

The discussion revolves around a problem related to the mechanics of a string trimmer, specifically focusing on the relationship between angular speed and tangential speed to determine the length of the rotating string.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between angular speed and tangential speed, referencing textbook sections on angular kinematics. One participant attempts to apply a formula involving angular velocity and radius but expresses confusion about the calculations.

Discussion Status

The discussion includes attempts to clarify the relationship between the variables involved. While one participant expresses frustration with their approach, another indicates they have reached an understanding, suggesting some productive direction has emerged.

Contextual Notes

Participants mention specific textbook references and calculations, indicating a reliance on established formulas and concepts in angular motion. There is a sense of uncertainty regarding the application of these concepts to the problem at hand.

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A string trimmer is a tool for cutting grass and weeds; it utilizes a length of nylon "string" that rotates about an axis perpendicular to one end of the string. The string rotates at an angular speed of 42 rev/s, and its tip has a tangential speed of 46 m/s. What is the length of the rotating string?
 
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there is a specific relationship between angular speed and tangential speed. Find the section in your textbook that deals with angular kinematics. Once you find it you will want to hit yourself.

If it helps, imagine a particle moving in a circle of radius 5 meters, with a tangential speed of 1 m/s. How many revolutions would this particle make in one second?
 
Its just not clicking, I tried this and it didn't work w = 2pi*42/60
r = 46/w
 
i got it and boy do i feel like an idiot, thank buddy
 
thanks**
 

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