Circular Motion force problem?

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SUMMARY

The discussion revolves around calculating the maximum speed of a car on a flat circular race track with a radius of 80 meters and a coefficient of friction of 0.40. To solve this problem, participants emphasize the importance of understanding centripetal acceleration and the role of fictitious forces, specifically centrifugal force. The key equation involves the relationship between friction, centripetal force, and speed, which is essential for determining the maximum safe velocity on the track.

PREREQUISITES
  • Centripetal acceleration concepts
  • Friction coefficient calculations
  • Understanding of fictitious forces
  • Basic physics equations related to circular motion
NEXT STEPS
  • Calculate maximum speed using the formula: v = sqrt(r * g * μ)
  • Explore the concept of centripetal force in circular motion
  • Review the role of friction in maintaining circular motion
  • Study examples of circular motion problems in physics textbooks
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of circular motion and the application of friction in real-world scenarios.

glindawantsme
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Homework Statement



Fiction provides the force needed for a car to travel around a flat, circular race track. What is the maximum speed at which a car can safely travel if the radius of the track is 80 meters, and the coefficient of friction is .40?


Homework Equations



Absolutely no clue!

The Attempt at a Solution



I really attempted this problem but came up with nothing worth putting in here. Please help!
 
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fictitious force

Hi glindawantsme! :smile:
glindawantsme said:
Fiction provides the force …

That's exactly why centrifugal force is called a fictitious force! :biggrin:
… needed for a car to travel around a flat, circular race track. What is the maximum speed at which a car can safely travel if the radius of the track is 80 meters, and the coefficient of friction is .40?

Hint: start by calculating the centripetal acceleration at speed v.

Show us what you get, and where you're stuck, and then we'll know how to help. :wink:
 

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