Solve Banked Curve w/ Friction: Formula Needed

In summary, the formula for solving a banked curve with friction is (μtanθ)/(1-μtanθ), where μ is the coefficient of friction and θ is the angle of the banked curve. The angle of the banked curve can be determined by using the formula θ = tan^-1(v^2/rg), where v is the speed of the object, r is the radius of the curve, and g is the acceleration due to gravity. The coefficient of friction represents the amount of friction between the object and the surface of the banked curve, and is crucial in determining the stability and safety of the curve. This formula is specifically designed for banked curves and may not give accurate results for other types of
  • #1
dqasem
3
0
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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  • #2
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.
 
  • #3


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!
 

1. What is the formula for solving a banked curve with friction?

The formula for solving a banked curve with friction is (μtanθ)/(1-μtanθ), where μ is the coefficient of friction and θ is the angle of the banked curve.

2. How do I determine the angle of the banked curve?

The angle of the banked curve can be determined by using the formula θ = tan^-1(v^2/rg), where v is the speed of the object, r is the radius of the curve, and g is the acceleration due to gravity.

3. What is the significance of the coefficient of friction in this formula?

The coefficient of friction represents the amount of friction between the object and the surface of the banked curve. It is a crucial factor in determining the stability and safety of the curve.

4. Can this formula be used for any curved surface or only for banked curves?

This formula is specifically designed for banked curves, where the surface is inclined at an angle to the horizontal. It may not give accurate results for other types of curved surfaces.

5. Are there any other factors that need to be considered when solving a banked curve with friction?

Aside from the coefficient of friction and the angle of the banked curve, other factors that may affect the outcome include the weight and velocity of the object, as well as any external forces acting on the object.

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