An equation for an elliptical cross section of the pipe, for convenience, place the coordinate system with ( 0 , 0 ) at the center of the pipe, when elliptical concrete pipes have a greater capacity for shallow flow than circular pipes. For this reason, elliptical pipes are often used in storm drains, culverts, and sewers. An engineer wants to design an elliptical concrete pipe with a maximum horizontal opening of 4ft and a maximum vertical opening of 3ft .
An equation for an elliptical cross section of the pipe, for convenience, place the coordinate system with ( 0 , 0 ) at the center of the pipe, when elliptical concrete pipes have a greater capacity for shallow flow than circular pipes. For this reason, elliptical pipes are often used in storm drains, culverts, and sewers. An engineer wants to design an elliptical concrete pipe with a maximum horizontal opening of 4ft and a maximum vertical opening of 3ft .
Solution Summary: The author explains that elliptical concrete pipes have a greater capacity for shallow flow than circular pipes.
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
Chapter 7, Problem 14RE
(a)
To determine
To calculate: An equation for an elliptical cross section of the pipe, for convenience, place the coordinate system with (0,0) at the center of the pipe, when elliptical concrete pipes have a greater capacity for shallow flow than circular pipes. For this reason, elliptical pipes are often used in storm drains, culverts, and sewers. An engineer wants to design an elliptical concrete pipe with a maximum horizontal opening of 4ft and a maximum vertical opening of 3ft.
(b)
To determine
To calculate: How far from the center are the foci, when elliptical concrete pipes have a greater capacity for shallow flow than circular pipes. For this reason, elliptical pipes are often used in storm drains, culverts, and sewers. An engineer wants to design an elliptical concrete pipe with a maximum horizontal opening of 4ft and a maximum vertical opening of 3ft.