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

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To safely navigate a wet, unbanked turn, a car initially traveling at 21 m/s must reduce its speed due to a significant decrease in static friction. The maximum static frictional force is reduced by a factor of three on the wet patch, necessitating a recalculation of the safe speed using centripetal acceleration principles. A free body diagram can aid in visualizing the forces at play, helping to determine the new safe speed. The discussion emphasizes the importance of adjusting speed in response to changing road conditions to maintain safety. Proper setup and calculations are crucial for ensuring the vehicle can complete the turn without losing traction.
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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