About to take an exam and I STILL dont understand banked curve questions.

AI Thread Summary
To determine the minimum angle for a banked curve allowing a car to travel at 21.5 m/s on a 159 m radius, it's essential to understand the principles of banked curves and centripetal force. Drawing a diagram can aid in visualizing the problem, while identifying and using relevant equations is crucial for setting up the solution. Algebra can then be applied to solve for the unknown angle, ensuring that the answer is reasonable based on the context. Numerous online resources, such as Khan Academy and HyperPhysics, offer tutorials and practice problems to reinforce understanding. Consistent practice and seeking help when needed are key to mastering banked curve questions.
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How would I go about solving this problem?

Determine the minimum angle at which a road should be banked so that a car traveling at 21.5 m/s can safely negotiate the curve if the radius of the curve is 159 m.

If anyone has any sites explaining how to as well I'd appreciate it if you could post a link.
 
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First of all, don't panic! It's completely normal to feel nervous or unsure before an exam, especially when it comes to a challenging topic like banked curve questions. The key is to approach the problem calmly and systematically. Here are some steps you can follow to help you solve this problem:

1. Understand the concept of banked curves: Before attempting to solve the specific problem given, make sure you have a solid understanding of what banked curves are and how they work. This will help you better understand the problem and what you need to do to solve it.

2. Draw a diagram: A visual representation of the problem can often help make it easier to understand. Draw a diagram of the curve, including the given information such as the radius and speed of the car.

3. Identify the relevant equations: In this problem, you will need to use the equations for centripetal force and the horizontal component of velocity. Make sure you have these equations and their variables memorized.

4. Set up the equations: Using the information given in the problem and the relevant equations, set up an equation that relates the minimum angle of the banked curve to the other variables.

5. Solve for the unknown: With the equation set up, you should have one unknown variable (the minimum angle). Use algebra to solve for this unknown. Make sure to show your work and clearly label each step.

6. Check your answer: Once you have solved for the minimum angle, check to see if your answer makes sense. Is the angle reasonable given the situation? Does it match your initial understanding of banked curves?

As for resources, there are many online tutorials and practice problems available for banked curves. I would recommend searching for videos or articles from reputable sources such as Khan Academy, Physics Classroom, or HyperPhysics. These sites often have clear explanations and step-by-step examples that can help you better understand the concept and how to solve problems related to it.

Remember, practice makes perfect! Keep working on banked curve problems and don't be afraid to ask for help if you're still struggling. Good luck on your exam!
 
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