Catenary Curves
applied
A hanging rope is not a parabola but how different is it?
Introduction
Explore catenary curves and determine an equation of a landmark near you. Use Google Earth to locate the perfect spot to take a photo of powerlines.
Guiding Questions
- What shape does the cable or chain form under gravity?
- How can you model this using functions?
- What parameters affect the shape of the curve?
- How can calculus help determine arc length or area?
- What are the real-world engineering applications?
Key Mathematical Concepts
Catenary Curves
Differential Equations
Engineering
Physics Applications