Centripetal acceleration automobile problem

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SUMMARY

The discussion centers on calculating the maximum speed a car can achieve while rounding a circular turn without skidding, given a mass of 1750 kg, a turn radius of 21 m, and coefficients of friction. The relevant equation is derived from the balance of forces, specifically using the static friction coefficient of 0.76, as it provides the necessary centripetal force to prevent skidding. The kinetic friction coefficient of 0.3 is not applicable in this scenario since it pertains to sliding motion rather than maintaining circular motion.

PREREQUISITES
  • Understanding of centripetal acceleration and its role in circular motion.
  • Familiarity with the concepts of static and kinetic friction.
  • Basic knowledge of Newton's laws of motion.
  • Ability to manipulate and solve algebraic equations.
NEXT STEPS
  • Study the derivation of centripetal acceleration formulas in circular motion.
  • Learn about the differences between static and kinetic friction in practical applications.
  • Explore real-world examples of friction in automotive dynamics.
  • Investigate the effects of varying road conditions on vehicle handling and safety.
USEFUL FOR

Students studying physics, automotive engineers, and anyone interested in understanding vehicle dynamics and frictional forces in circular motion.

Haniszmi
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Homework Statement



6. A car of mass 1750 kg rounds a circular turn of radius of 21 m. The road is flat and the coefficient of kinetic friction between the tires and the road is 0.3, while the coefficient of static friction is 0.76. How fast can the car go without skidding?



Homework Equations



Mu(static)mg = mv^2/r

The Attempt at a Solution


I understand how to do the problem, I just don't understand why the coefficient of static friction would be used and not the coefficient of kinetic friction since the car is moving and not stationary(static friction)
 
Physics news on Phys.org
The friction force is not the one that opposes the forward motion but rather the force towards the center that provides the centripetal acceleration (thus, stops the motion of the car from going outward).
 

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