Solve Banked Curve w/ Friction: Formula Needed

AI Thread Summary
To solve a banked curve problem with friction, the key formula is μ = tan(θ), where μ is the coefficient of friction and θ is the angle of the bank. Essential concepts include centripetal acceleration, frictional force, and Newton's second law. A free body diagram is crucial for analyzing forces in two perpendicular directions. Consider the mass and velocity of the object to ensure accurate calculations. Properly applying these principles will help in solving the banked curve problem effectively.
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I have a banked curve problem that I need to use. I was wondering if anyone knew the formula that includes friction. Thanks
 
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We dont' give out formulas because that's not the way to solve a problem.

The only formulas you'll need are ones you probably know : for centripetal acceleration, frictional force, and Newton's 2nd Law.

Draw the free body diagram and solve Newton's 2nd along two perpendicular directions.
 


To solve a banked curve problem with friction, you will need to use the following formula:

μ = tan(θ)

Where:
μ = coefficient of friction
θ = angle of the banked curve

This formula takes into account the effects of friction on the banked curve, which can affect the speed and trajectory of an object moving along the curve. Make sure to also consider the mass and velocity of the object in your calculations.

Additionally, you may need to use other formulas such as centripetal force and Newton's second law of motion to fully solve the problem. It is important to carefully analyze the given information and use the appropriate formulas to accurately solve the problem.

I hope this helps you in solving your banked curve problem with friction. Good luck!
 
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