File Exchange

image thumbnail

volRevolve

version 1.0.0.0 (3.15 KB) by Geoff Olynyk
Calculates the volume of a polygon revolved around the Z-axis. Standalone function.

0 Downloads

Updated 04 May 2012

View License

This function calculates the volume of a polygon revolved around the Z-axis. Call using vol = volRevolve(R,Z), where R and Z are one-dimensional vectors tracing out a polygon (in the X-Z plane) and the output vol is the volume of the solid of revolution, in the same units as the inputs (cubed).

The R and Z vectors must be in order, counter-clockwise around the area being defined. If not, this function will give the volume of the counter-clockwise parts, minus the volume of the clockwise parts.

It does not matter if the curve is open or closed - if it is open (i.e., the last point doesn't overlap the first point), this function will automatically close it.

It is based on the technique in Advanced Mathematics and Mechanics Applications with MATLAB, 3rd ed., by H.B. Wilson, L.H. Turcotte, and D. Halpern, Chapman & Hall / CRC Press, 2002, e-ISBN 978-1-4200-3544-5. See Chapter 5, Section 5.4, doi: 10.1201/9781420035445.ch5

This function is standalone and does not require any other non-standard functions to exist.

Comments and Ratings (0)

MATLAB Release Compatibility
Created with R2012a
Compatible with any release
Platform Compatibility
Windows macOS Linux
Acknowledgements

Inspired by: Area and volume properties

Discover Live Editor

Create scripts with code, output, and formatted text in a single executable document.


Learn About Live Editor