Thursday, October 30, 2014

CURVATURE


Week 9

In this week after I know to find the arc length, I learn how we find the curvature that means the measure of how sharply a curve bend.
 
 The circulars the same curvature at any point. Also, the curvature and the radius of the circle are inversely related. This is a circle with large radius has a small curvature, and a circle with small radius has a large curvature.
Many modern roller coasters features loops. Roller coaster loops are often not circular. If we looked closer at roller coaster loop, we will notice how the top is look like a half-circle, whereas the bottom looks different, with an increasing radius of curvature closer to the ground.
 
 

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