What is the frictional force of a car driving around a curved road?

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In summary, the conversation discusses a problem involving a car driving around a curved road at a specific speed and banked angle. The question is to determine the frictional force of the car and the speed at which the force of friction becomes zero. Different equations were attempted but did not yield the correct answer. The solution involves considering the net force on the car, including gravity, normal force, and frictional force. By properly balancing the horizontal and vertical components of these forces, the correct solution can be obtained. Additionally, it is mentioned that steeply banking a curve can reduce the need for frictional force, as seen in high speed race tracks.
  • #1
canadiantiger7
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Homework Statement


a car drives around a curve with a radius 410 m at a speed of 38 m/s. the road is banked at 5.1 degrees, and the car weighs 1400 kg. what if the frictional force of the car? at what speed could you drive around this curve so that the force of friction is zero?

I tried a few equations and got different answers, but none of them correct. any help is appreciated.


Homework Equations





The Attempt at a Solution

 
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  • #2
What exactly have you tried? You have to show some work before you'll get any help.
 
  • #3
i got the acceleration (V2/R) and then plugged that into get Fnet (m*a). but it did not work. that is what it said to do in the book though.
 
  • #4
That is the net force on the car, but you need to determine where its coming from. Gravity always acts vertically with magnitude mg. The other two forces are the normal force of the road, which is perpendicular to the surface of the road, and the force of friction, which is parellel to the surface. These must be such that a) the vertical components add to zero, since there's no vertical acceleration and b) the horizontal components add to the net force, providing the centripetal force that keeps the car moving in a circle.
 
  • #5
Hi Canadiantiger7,
I’m not getting what you exactly want. Please provide more details so that I can help you.
Thanks & Regards
Find the location of police speed traps using your mobile phones and other types of devices, take a look at http://www.trapster.com
 
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  • #6
If you bank a curve steeply enough, the normal force will supply the needed centripetal acceleration rather than the frictional force. This is the principle at work at high speed race tracks - this way, the limited friction between the tires/road can be used strictly for accelerating and braking, and not turning as well.

I would start with a free-body diagram if I were you, and then do what StatusX said above with regard to the horizontal and vertical forces. Note that the normal force does NOT point directly upward, as it would in other problems.
 

FAQ: What is the frictional force of a car driving around a curved road?

How does a car drive around a curve?

When driving around a curve, the car's tires exert a force on the road surface, which creates a centripetal force that causes the car to turn. The driver also plays a crucial role in steering the car and adjusting its speed.

What factors affect a car's ability to navigate a curve?

The speed of the car, the curvature of the road, the condition of the tires and the road surface, and the weight distribution of the car all affect its ability to navigate a curve. The weight distribution is particularly important as it determines the car's center of mass, which affects its stability while turning.

How do cars maintain traction while driving around a curve?

To maintain traction, the car's tires must have enough friction with the road surface. This is achieved by adjusting the car's speed and steering angle to match the curve of the road. The driver must also be careful not to oversteer or understeer, which can cause the tires to lose grip.

Can a car lose control while driving around a curve?

Yes, a car can lose control while driving around a curve if the driver does not adjust their speed and steering angle correctly. Other factors such as wet or icy road conditions, worn tires, or mechanical issues can also contribute to a loss of control. It is important to follow the recommended speed limit and drive cautiously around curves to avoid accidents.

How can a driver improve their ability to navigate curves?

Practicing and becoming familiar with a car's handling and braking capabilities can improve a driver's ability to navigate curves. Additionally, maintaining proper tire pressure and tread, as well as keeping a safe distance from other vehicles, can also improve a driver's control while driving around curves.

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