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## Homework Statement

Daytona International Speedway in Florida. Both of its courses feature four story, 31.0 degree banked curves with max radius of 316 if a car negotiates the curve too slowly it tends to slip down the incline of the turn whearas if it going too fast it may begin to slide up the incline. find the centripetal acceleration on the curve so won't slip up or down and calculate the speed (neglect friction

## Homework Equations

F=ma

v^2/r

## The Attempt at a Solution

I have the solution it is 5.89 m/s^2 and 43.1 m/s, but i don't understand why the normal force uses cos. It says use the y-component of Newton's second law to solve for the normal force n....so why am I supposed to use cos instead of sin and how can I know for future problems that are similar?

ma= F = n + mg

ncostheta -mg = 0

n= mg/ costheta

F = mg tan theta

centripetal acceleration = g*tan*theta

then v^2/r = 43.1

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