Register to reply

What angle should the curve be banked at?

by TheConfewsd
Tags: angles, centripetal foce
Share this thread:
Jan20-10, 11:48 PM
P: 1
1. The problem statement, all variables and given/known data

A 162kg car rounds a curve with a radius of 267 m at 43 m/s. The acceleration of gravity is 9.8 m/s2

a. (already solved) - What force must the road exert on the road to keep the car on the curve.

1121.864 Newtons

b. - At what angle must the curve be banked to give a passenger the most comfortable ride?

2. Relevant equations

Centripetal force = mass x velocity2/radius
Centripetal acceleration = velocity2/radius

3. The attempt at a solution

I have no attempt. I do not understand what part "b" of the problem is asking or how to solve for it.

I don't even really want a solution, I just need someone to explain to me how to solve what angle the curve should be banked at, and I'll solve it myself.
Phys.Org News Partner Science news on
Scientists discover RNA modifications in some unexpected places
Scientists discover tropical tree microbiome in Panama
'Squid skin' metamaterials project yields vivid color display
Jan21-10, 12:07 AM
HW Helper
P: 6,202
The centripetal force should be the same as the component of the weight for a comfortable ride.
Jan21-10, 12:07 AM
HW Helper
P: 4,433
If R is the normal reaction of the road on the car, for comfortable driving, R*cosθ must balance the weight of the car mg, and R*sinθ must provide necessary centripetal force m*v^2/r. Using these hints solve for θ.

Register to reply

Related Discussions
Banked Frictionless Curve, and Flat Curve with Friction Introductory Physics Homework 1
Car on a banked curve Introductory Physics Homework 1
Banked curve Introductory Physics Homework 10
Finding the angle of a BANKED curve Introductory Physics Homework 4
Banked Curve Introductory Physics Homework 8