Flying a Box Kite

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

This Demonstration illustrates the flight angle of a cubic box kite and the tension force in the string. The tension and the angle are affected by the lift, drag, surface area of one side of the kite, wind velocity, kite mass and string length. The coefficient of drag is related to the aspect ratio (side A/side B) of the kite, which in this case is kept constant at 1. For simplicity, the coefficient of lift is assumed to be constant; actually its value would need to be found experimentally.

Contributed by: Jaeda C. Sichel (May 2014)
Additional contributions by: Rachael L. Baumann
(University of Colorado Boulder, Department of Chemical and Biological Engineering)
Open content licensed under CC BY-NC-SA


Snapshots


Details

A force balance implies that the sum of the forces is zero, thus drag equals lift:

,

,

where and are the forces in the and directions (N), is drag (N), is tension (N), is lift (N), is kite mass (kg) and , the gravitational constant.

The lift and drag coefficients are:

,

,

where is air density (), is wind velocity (m/s), and is the area of one side of the kite ().

In this Demonstration the coefficients of lift and drag and are assumed constant, which enables calculation of the tension in the string using the above equations.



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send