conceptual question

by ballahboy
Tags: conceptual
ballahboy is offline
Nov20-04, 05:04 PM
P: 34
An engineer wishes to design a curved exit ramp for a toll road in such a way that a car will not have to rely on friction to round the curve without skidding. He does so by banking the road in such a way that the necessary force causing the centripetal acceleration will be supplied by the component of the normal force toward the center of the circular path. Show that for a given speed v and a radius of r , the curve must be banked at the angle (theta) such that tan(theta)=v^2/r*g
Phys.Org News Partner Science news on
Cougars' diverse diet helped them survive the Pleistocene mass extinction
Cyber risks can cause disruption on scale of 2008 crisis, study says
Mantis shrimp stronger than airplanes
Nov20-04, 05:08 PM
P: n/a
What have you tried? think about what tan(theta) is in terms of sine and cosine and what sine and cosine would represent in this case.
ballahboy is offline
Nov20-04, 05:24 PM
P: 34
this is what i was thinking...

Fn sin(theta) = mv^2/r
(mg/cos(theta))sin(theta) = mg tan(theta) = mv^2/r
tan theta = v^2/(rg)

does that look right?

Register to reply

Related Discussions
Simple conceptual question - rolling object question: Introductory Physics Homework 12
Conceptual question Introductory Physics Homework 5
Can you please help me with this conceptual question? Introductory Physics Homework 2
Conceptual Question Calculus 4
Conceptual question Beyond the Standard Model 5