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**[SOLVED] Centripetal Force at an Angle**

## Homework Statement

The design of a new road includes a straight stretch that is horizontal and flat but that suddenly dips down a steep hill at 22 degrees. The transition should be rounded with what minimum radius so that cars traveling 90 km/h will not leave the road?

## Homework Equations

v=(2*pi*R)/T

F=ma

a=(v^2)/R

## The Attempt at a Solution

90 km/hr=25 m/s. I tried setting up an equation where the centripetal force equaled the force of gravity:(25^2)/r=9.8 sin 22 , but that gives me a radius of approximately 170.25m, when the correct answer is 63.8m.

EDIT: Solved. (25^2)/r=9.8

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