Car Crash on Inclined Circular Racetrack

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In summary, the car is driving on a circular racetrack with an inclined angle of 40 degrees to the horizontal. The centre of rotation for the track is located in the horizontal plane, 45 m from the centre of the track and 5.0 m above ground level. The car's tires have a coefficient of kinetic friction of 0.35 and is driving at maximum speed to stay in its position on the narrow track. However, when it hits an oil slick, the coefficient of friction is reduced to 0. The question is asking where, relative to the centre of the track, the car will crash into the ground.
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sparkle123
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"A car is driving on a circular racetrack, which is inclined at an angle of 40 degrees to the horizontal. The centre of rotation for the track lies in the horizontal plane, and is 45 m from the centre fo the racetrack and 5.0 m above ground level. The car's tires have a coefficient of kinetic friction of 0.35. The car is driving at the maximum possible speed to stay in its position on the narrow track. All of a sudden, the car hits an oil slick and the coefficient of friction is reduced to 0. Where, relative to the centre of the track, does the car crash into the ground?"

I need help visualizing this problem. Where exactly is this "centre of rotation for the track"?
Thank you! :)
 
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  • #2
Hi sparkle123! :smile:

Your problem appears to be badly formulated.
It should say:
"The centre of rotation for the track lies in the horizontal plane, and is 45 m from the car and 5.0 m above ground level."
 
  • #3
Thanks I like Serena! :)

so centre of rotation for the track = centre of track?
 
  • #4
Yep! :)
 
  • #5
Thanks! :)
 

FAQ: Car Crash on Inclined Circular Racetrack

What is the cause of a car crash on an inclined circular racetrack?

The most common cause of a car crash on an inclined circular racetrack is loss of traction due to high speeds and the steep incline of the track. This can result in the car sliding or spinning out of control and crashing into the barriers.

How does the angle of the incline affect a car's performance on a circular racetrack?

The angle of the incline can greatly affect a car's performance on a circular racetrack. A steeper incline will increase the car's speed and centrifugal force, making it more difficult to maintain control. A shallower incline may reduce speed but also decrease the risk of a crash.

What safety precautions are in place to prevent car crashes on inclined circular racetracks?

There are several safety precautions in place to prevent car crashes on inclined circular racetracks. These may include safety barriers, catch fences, and runoff areas. Drivers also undergo extensive training and must adhere to strict safety protocols while on the track.

How do engineers design inclined circular racetracks to minimize the risk of car crashes?

Engineers use advanced computer simulations and analysis to design inclined circular racetracks that minimize the risk of car crashes. This includes carefully calculating the angle of incline and banking of the track, as well as considering the type of surface and safety measures in place.

Are there any technological advancements being made to improve safety on inclined circular racetracks?

Yes, there are ongoing efforts to improve safety on inclined circular racetracks through technological advancements. These include developing new materials for safety barriers, implementing advanced driver assistance systems, and using virtual reality simulations for driver training.

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