Turnings on roads and banked roads

  • Thread starter takando12
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In summary, the circular motion of a car requires a centripetal force, which is provided by the static friction between the road and the tire. The maximum velocity the car can go without leaving the circular path is √μsrg. This is possible because on a banked road, the horizontal component of friction and the normal reaction work together to provide the necessary centripetal force. The velocity at which the car should be driven to minimize wear and tear on the tires is v0 = √rg tanθ, and if the car's velocity is less than this value, the force of friction will act up the banked plane. This is possible because the tires are not sliding, but rather the static friction is the torque that
  • #1
takando12
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The centripetal force required for the circular motion of the car during a turning is provided by the static friction between the road and the tire and the maximum velocity it can go at without leaving the circular path is √μsrg. But why is it static friction? Isn't the car moving? How then do we say static friction?

For a banked road we have the horizontal component of the friction and the normal reaction providing the necessary centripetal force.. The velocity at which the car must be driven to minimise wear and tear of the tires( ie μ=0, is v0 =√rg tanθ.
My textbook says that if the velocity is lesser than v0, the force of friction will act up the banked plane.
How is this possible? And what will happen? will the car slip down the banked plane?
 
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  • #2
takando12 said:
But why is it static friction?

Because the tires aren't sliding (well, maybe a little). The static friction is the torque that causes the wheel to rotate.
 

What is a turning on a road?

A turning on a road refers to a change in direction or curvature of the road. This can be a gradual curve or a sharp bend.

What is a banked road?

A banked road is a road that is built on a slope or angle, with the outer edge of the road higher than the inner edge. This design is used to help vehicles navigate turns more easily and safely.

What factors determine the bank angle of a road?

The bank angle of a road is determined by the speed of vehicles that will be traveling on it, the radius of the turn, and the coefficient of friction between the road surface and the tires of the vehicle.

How does a banked road affect vehicle handling?

A banked road helps vehicles to maintain their speed and stability while navigating turns, reducing the risk of skidding or overturning. This allows for smoother and safer driving.

What are the potential drawbacks of banked roads?

Banked roads can be more expensive to build and maintain compared to flat roads. They may also cause discomfort for some drivers, especially those who are not used to driving on them.

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