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A New Roller Coaster Contains a Loop-The-Loop in Which the Car

question 90

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A new roller coaster contains a loop-the-loop in which the car and rider are completely upside down. If the radius of the loop is 13.2 m, with what minimum speed must the car traverse the loop so that the rider does not fall out while upside down at the top? Assume the rider is not strapped to the car.


Definitions:

Angularity

A geometric dimensioning and tolerancing (GD&T) term that describes the angle tolerance of a feature relative to a datum.

Specified Angle

An angle that is expressly defined or given, often noted in technical drawings or design specifications for construction or manufacturing.

Parallelism

The relationship between two lines or surfaces that are equidistant from each other at all points.

Perpendicularity

A geometric tolerance that specifies the angle between two specified surfaces or features, requiring them to be exactly 90 degrees to each other.

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