Friction- related to banking of road

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SUMMARY

The discussion focuses on the physics of banking turns in road design, specifically analyzing a turn with a radius of 20 meters banked for vehicles traveling at 10 m/s without friction. The friction coefficient between the road and tire is given as 0.3, leading to the conclusion that the minimum speed of the vehicle can be calculated using the formula 5x/(11.5)^1/2. The equations provided clarify the relationship between banking angle, speed, and friction in vehicular motion.

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  • Understanding of basic physics concepts, particularly centripetal force.
  • Familiarity with the equations of motion in circular paths.
  • Knowledge of friction coefficients and their impact on vehicle dynamics.
  • Ability to calculate angles using trigonometric functions.
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  • Study the derivation of the banking angle formula for circular motion.
  • Explore the effects of varying friction coefficients on vehicle stability.
  • Learn about the design principles of banked curves in civil engineering.
  • Investigate real-world applications of banking in road safety and vehicle performance.
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Homework Statement



a turn of radius 20m is banked for vehicles going at a speed of 10 m/s ( considering no friction). If the friction co-efficient between road and tyre is 0.3, then the minimum speed of the vehicle is 5x/(11.5)^1/2.


Homework Equations



in case of banking and no friction

tan A= v^2/rg

in case of banking and friction both,

v=[rg(u + tan A)/(1 - u tanA)]^1/2



The Attempt at a Solution





well,
i did not actually understand what the first statement means because if there is friction, then how can one avoid it?
 
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paulrishav93 said:
a turn of radius 20m is banked for vehicles going at a speed of 10 m/s ( considering no friction).
This means that the banking angle of the road is just right so that a vehicle moving at 10 m/s requires no friction to make the turn. (Figure out the angle.)
 

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