Roller Coasters in Loops
Name: Jane A.
How do the roller coasters hold in people in the loops,
using mathematics equations and explanations?
The centripetal force supplies the necessary forces to hold a person
in. The harness restraints act as a backup.
A highly simplified equation is:
F(net) = ma = F(support) + F(gravitational),
but this is different for each position of the roller coaster. Since the
coaster is an extended object and not a point, the math exceeds that which
is taught in high schools.
---Nathan A. Unterman
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Update: June 2012