How Slow Should You Go on a Wet, Unbanked Turn?

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SUMMARY

A car negotiating an unbanked circular turn at a speed of 21 m/s experiences a reduction in maximum static frictional force by a factor of three due to a wet patch on the road. To maintain safe navigation around the curve, the driver must reduce the speed to a level where the available frictional force can provide the necessary centripetal acceleration. The calculation involves understanding the relationship between speed, friction, and centripetal force, which can be visualized through a free body diagram.

PREREQUISITES
  • Centripetal acceleration concepts
  • Static friction force calculations
  • Free body diagram interpretation
  • Basic physics of circular motion
NEXT STEPS
  • Calculate the new safe speed using the formula for centripetal force
  • Explore the effects of varying friction coefficients on vehicle dynamics
  • Study the principles of unbanked turns in vehicle dynamics
  • Learn about the impact of road conditions on vehicle handling
USEFUL FOR

Physics students, automotive engineers, and drivers interested in understanding vehicle dynamics under varying road conditions.

gsr_4life
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I need some help setting this up.

A car is safely negotiating an unbanked circular turn at a speed of 21m/s. The max static frictional force acts on the tires. Suddenly a wet patch in the road reduces the maximum static frictional force by a factor of three. If the car is to continue safely around the curve, to what speed must the driver slow the car?

Any hints as to setting it up would be great!
 
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it involves centripetal acceleration. try drawing a free body diagram
 
http://laser.phys.uAlberta.ca/~freeman/enph131/fbdex3.html
 
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