Intro to Physics problem dealing with speed and distance

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SUMMARY

The discussion centers on a physics problem involving a bug crawling on a spinning CD at 200 revolutions per minute (RPM). The bug can crawl 2.66 cm from the center before slipping due to a static friction coefficient of 1.2. The speed of the bug just before slipping is calculated using the formula v = r * ω, where ω is the angular velocity derived from the RPM. The correct application of these formulas leads to accurate results for both the distance and speed of the bug.

PREREQUISITES
  • Understanding of angular velocity and its calculation from RPM
  • Knowledge of static friction and its role in motion
  • Familiarity with basic physics equations for circular motion
  • Ability to manipulate and solve algebraic equations
NEXT STEPS
  • Study the relationship between angular velocity and linear speed in circular motion
  • Explore the concept of static friction and its implications in real-world scenarios
  • Learn how to derive and apply formulas for circular motion problems
  • Practice solving additional physics problems involving rotational dynamics
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators looking for examples of practical applications of physics equations.

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Homework Statement



A bug crawls outward from the center of a CD spinning at 200 revolutions per minute. The coefficient of static friction between the bug’s sticky feet and the disc surface is 1.2. How far does the bug get from the center before slipping? What is the speed of the bug just before it starts slipping?

Homework Equations



Edited my work as I would use this in class. May post on request.

r = a / w2

The Attempt at a Solution



r = 2.6666 cm

The bug gets 2.66 cm from the center before slipping.

Q: Does the above seem right? How do I do the second part of the problem where I have to find the speed of the bug before it starts slipping?
 
Last edited:
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How fast is the edge of a circle radius 2.66cm moving if it's rotating at 200rpm?
 
CWatters said:
How fast is the edge of a circle radius 2.66cm moving if it's rotating at 200rpm?

Oh thank you. I got the correct answer with formula, v = ( r ) ( w ). My teacher put the correct answer on the problem for some reason. Thank you.
 

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