Register to reply

Circular Motion and Radius of Curvature

by ThatMathGuy
Tags: circular, curvature, motion, radius, uniform
Share this thread:
ThatMathGuy
#1
Oct12-09, 01:09 PM
P: 1
1. The problem statement, all variables and given/known data
Oh boy... Here we go...

At what minimum speed must a roller coaster be traveling when upside down at the top of a circle so that the passengers will not fall out? Assume a radius of curvature of 7.4 m.

I honestly have nothing. To begin with, I drew a free-body diagram but got nowhere considering the teacher never explained 'radius of curvature'. I've tried searching on the Internet but all I get are a bunch of formulas in geodesy and aren't applicable to the problem. It's not in the book either (Giancoli PHYSICS Updated Edition 2009).


2. Relevant equations
Ac=v^2/R
[tex]\SigmaF[/tex]=mv^2/R




3. The attempt at a solution
Tried setting up a free-body diagram and got nowhere.
Phys.Org News Partner Science news on Phys.org
Final pieces to the circadian clock puzzle found
A spray-on light show on four wheels: Darkside Scientific
How an ancient vertebrate uses familiar tools to build a strange-looking head
Delphi51
#2
Oct12-09, 01:57 PM
HW Helper
P: 3,394
At the top of the circular motion, gravity must provide no more than the centripetal force needed to hold the car in circular motion. If Fg exceeds Fc, the car will fall off the track. So start with Fc = Fg, fill in the detailed formulas and solve for v.


Register to reply

Related Discussions
Circular motion with decreasing radius Introductory Physics Homework 0
Circular Motion- Find the Velocity with tension, the radius, and the mass Introductory Physics Homework 2
Circular motion radius Introductory Physics Homework 1
Is the schwarzchild radius a radius of curvature? Special & General Relativity 9
Projectile motion and radius of curvature. Introductory Physics Homework 4