Outflow Rate = -Rate of Change

<BODY LANG="EN"> <HR><center> <table border=1> <TR> <td><A HREF="node6.shtml"><img height=36 width=36 alt="PREVIOUS" src="/UCESIcons/tools/previous.gif"></A></td> <td><A HREF="node2.shtml"><img height=36 width=36 alt="UP" src="/UCESIcons/tools/up.gif"></A></td> <td><A HREF="node8.shtml"><img height=36 width=36 alt="NEXT" src="/UCESIcons/tools/next.gif"></A></td> <td><a href="contents-node7.html"><img height=36 width=36 alt="CONTENTS" src="/UCESIcons/tools/toc.gif"></a></td> <td><a href="reset.hamlet"><img height=36 width=36 alt="RESET" src="/UCESIcons/tools/stop.gif"></a></td> <td><a href="copyright.html"><img height=36 width=36 alt="COPYRIGHT" src="/UCESIcons/tools/copyright.gif"></a></td> <td><a href="mailto:uces_info@krellinst.org"><img height=36 width=36 alt="FEEDBACK" src="/UCESIcons/tools/feedback.gif"></a></td> <td><a href="http://www.cs.utah.edu/%7Ehamlet/icons.html"><img height=36 width=36 alt="ABOUT" src="/UCESIcons/tools/about.gif"></a></td> </TR> </table> </center> <HR> <!DOCTYPE HTML PUBLIC "-//IETF//DTD HTML 2.2//EN">  <HTML> <HEAD> <TITLE>Outflow Rate = -Rate of Change</TITLE> <BASE TARGET="_parent"> <META NAME="description" CONTENT="Outflow Rate = -Rate of Change"> <META NAME="keywords" CONTENT="cone"> <META NAME="resource-type" CONTENT="document"> <META NAME="distribution" CONTENT="global"> <LINK REL=STYLESHEET HREF="cone.css"> </HEAD> <BODY LANG="EN"> <H2>Outflow Rate = -Rate of Change</H2> <P> For this problem, where there is no inflow, the rate of change of volume of the liquid is equal to the negative outflow rate, -<I>Q</I>. Equation (10) rearranged becomes <P> <IMG WIDTH=500 HEIGHT=35 ALIGN=BOTTOM ALT="[Eq. 14]" SRC="img42.gif"> <P> Making use of Equations (9) and (13), for the cylinder we have: <P> <IMG WIDTH=500 HEIGHT=45 ALIGN=BOTTOM ALT="[Eq. 15]" SRC="img43.gif"> <P> Using Equations (9) and (12), for the cone we have: <P> <IMG WIDTH=548 HEIGHT=46 ALIGN=BOTTOM ALT="[Eq. 16]" SRC="img44.gif"> <P> where <P> <IMG WIDTH=339 HEIGHT=38 ALIGN=BOTTOM ALT="[Eq. for R(y)]" SRC="img45.gif"> <P> </BODY> </HTML> <HR><center> <table border=1> <TR> <td><A HREF="node6.shtml"><img height=36 width=36 alt="PREVIOUS" src="/UCESIcons/tools/previous.gif"></A></td> <td><A HREF="node2.shtml"><img height=36 width=36 alt="UP" src="/UCESIcons/tools/up.gif"></A></td> <td><A HREF="node8.shtml"><img height=36 width=36 alt="NEXT" src="/UCESIcons/tools/next.gif"></A></td> <td><a href="contents-node7.html"><img height=36 width=36 alt="CONTENTS" src="/UCESIcons/tools/toc.gif"></a></td> <td><a href="reset.hamlet"><img height=36 width=36 alt="RESET" src="/UCESIcons/tools/stop.gif"></a></td> <td><a href="copyright.html"><img height=36 width=36 alt="COPYRIGHT" src="/UCESIcons/tools/copyright.gif"></a></td> <td><a href="mailto:uces_info@krellinst.org"><img height=36 width=36 alt="FEEDBACK" src="/UCESIcons/tools/feedback.gif"></a></td> <td><a href="http://www.cs.utah.edu/%7Ehamlet/icons.html"><img height=36 width=36 alt="ABOUT" src="/UCESIcons/tools/about.gif"></a></td> </TR> </table> </center> <HR> <P> <ADDRESS> <I>Boyd Gatlin<BR> Associate Professor of Aerospace Engineering<BR> Mississippi State University</I>  </ADDRESS> </BODY>