How Do You Calculate Forces on a Car Traveling on a Banked Curve?

AI Thread Summary
To calculate the forces on a car traveling on a banked curve, the normal force was determined to be 10514.6 N, and the resultant force directed towards the center of the curve was calculated as 3249.2 N. The design speed, interpreted as the maximum safe speed for the curve, was estimated at approximately 14.9 m/s. The discussion emphasizes the importance of showing work and using vector diagrams for clarity in problem-solving. Overall, the calculations align with the requirements of the problem, ensuring a comprehensive understanding of the forces involved.
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Homework Statement


car is on a banked curve of angle 18o, radius 70m. Mass of car = 1020kg and weight is taken as 1.0x10^4 N. Find the resultant force and the normal force N when the car is at the design speed.


Homework Equations


force diagram equations


The Attempt at a Solution



I calculated Normal force to be 10514.6N
I calculated the resultant force to be the component of the normal force towards the centre of the banked curve, and got 3249.2N

I think design speed just means max speed the car can safely travel around the curve at, I calculated this to be approx. 14.9 m/s but i could be quite wrong.

Are there things I'm forgetting to consider? is this exactly what the question asks for?
 
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I checked your answers and everything, and from what I know, you are completely correct.

By the way, as advice, if you have not already done it in other examples it is good show working on the site, and if possible a vector diagram.
 

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