Circular Motion: Solving for Banked Angle on a 122m Highway Curve

Click For Summary

Homework Help Overview

The problem involves determining the appropriate banking angle for a highway curve with a radius of 122 meters, ensuring that a car traveling at 26.8 m/s can navigate the curve without skidding, assuming no frictional force is present.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the need to visualize the forces acting on the car, including the normal force, centrifugal force, and weight, while considering how these forces balance at a specific angle.

Discussion Status

Some participants are exploring the setup of the problem through force diagrams, while others express a need for assistance in understanding the concepts involved. There is an indication of productive engagement, with one participant planning to attempt the problem further.

Contextual Notes

The discussion is framed within the constraints of a homework assignment, with an emphasis on understanding the forces at play rather than providing direct solutions.

umeks17
Messages
4
Reaction score
0

Homework Statement


a highway curve has a radius of 122m. At what angle should the road be banked so that a car travellin at 26.8m/s (60mph) has no tendency to skid sideways on the road? (frictional force is zero)


Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
Did you have a go at it?

Sam :smile:
 
no...can you help me to solve that question..
argh...my head wants to explode...
 
To start of you want to draw the setup as a force diagram at an arbitrary angle (called [itex]\theta[/itex] say), with:
- The normal reaction
- The centrifugal force from acceleration in a circle
- The Weight of the car

You need to find the angle at which all these forces are balanced. Does this help?

Sam
 
i will try it tonight :smile:
 
thanks a lot...a got it..:) huh
 

Similar threads

Replies
9
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K
Replies
11
Views
1K
  • · Replies 18 ·
Replies
18
Views
3K
  • · Replies 37 ·
2
Replies
37
Views
5K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 20 ·
Replies
20
Views
3K
  • · Replies 15 ·
Replies
15
Views
1K