The coefficient of static friction on an unbanked curve

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SUMMARY

A car traveling at 100 m/s enters an unbanked turn with a radius of 400 m, where the coefficient of static friction is 1.1. The relevant equation for determining the maximum speed without losing traction is v = √(coefficient * g * r). By substituting the values, the maximum speed is calculated to be approximately 13.3 m/s, which is significantly lower than 100 m/s. Therefore, the car will crash into the outer wall due to insufficient friction to maintain the turn.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concept of static friction
  • Knowledge of circular motion dynamics
  • Basic algebra for solving equations
NEXT STEPS
  • Study the derivation of the centripetal force equation in circular motion
  • Learn about the effects of banking on turns in physics
  • Explore the relationship between speed, radius, and friction in vehicle dynamics
  • Investigate the implications of different coefficients of friction on vehicle handling
USEFUL FOR

Physics students, automotive engineers, and anyone interested in understanding vehicle dynamics and the effects of friction on motion in circular paths.

apt8
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Homework Statement


A car traveling at 100 m/s enters an unbanked turn of 400 m radius. The coefficient of static friction between the tires and track is 1.1. The track has both an inner and outer wall. Which statement is correct?


Homework Equations



v=<square root>coefficientmgr/m

The Attempt at a Solution



A. The car will crash into the outer wall.
B. The car will crash into the inner wall.
C. The car will stay in the center of the track.
D. The car will stay in the center of the track if the driver speeds up.
E. The car would stay in the center of the track if the radius were 200m.




please help!
 
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apt8 said:

Homework Statement


A car traveling at 100 m/s enters an unbanked turn of 400 m radius. The coefficient of static friction between the tires and track is 1.1. The track has both an inner and outer wall. Which statement is correct?


Homework Equations



v=<square root>coefficientmgr/m

The Attempt at a Solution



A. The car will crash into the outer wall.
B. The car will crash into the inner wall.
C. The car will stay in the center of the track.
D. The car will stay in the center of the track if the driver speeds up.
E. The car would stay in the center of the track if the radius were 200m.




please help!
you have the right equation; solve it for v and compare it to the given v. What does this imply? Please show some attempt.
 
thank you! that's all i needed
 

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