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{SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 80 "PHYSICS RESOURCE PACKETS P
ROJECT                               File: windbend.MS" }}{PARA 0 "" 
0 "" {TEXT -1 85 "Rose-Hulman Institute of Technology                 \+
                      Author: mjm" }}{PARA 0 "" 0 "" {TEXT -1 97 "http
://www.rose-hulman.edu/~moloney                                   Soft
ware: Maple V Release 4" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 
0 "" {TEXT -1 155 "Bending of wavefronts due to wind speed increasing \+
with height. At higher elevations the spherical wavefronts are dragged
 farther to the right by the wind." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 0 "" 0 "" {TEXT -1 438 "A vertical wavefront heading into the wi
nd will bend upward, as the graph shows, and a vertical wavefront head
ing away from the wind will bend down, as also shown in the graph. Thi
s means that if wind speed increases with increasing height over the w
ater, upwind of a sound source sounds will quickly fade since the wave
fronts bend up going into the wind. But downwind of a sound source, th
e waves bend down and will be heard a great deal" }}{PARA 0 "" 0 "" 
{TEXT -1 13 "farther away." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "resta
rt; with(plots):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "N:=20: \+
radius:=20; h:=10;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "for k
 from 1 to N do" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 56 "circ.k:=[k/5+rad
ius*cos(t),2*k+radius*sin(t),t=-Pi..Pi];" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 3 "od:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 73 "plot
(\{circ.(1..N)\},color=black,title=`wind speed increases with height`)
;" }}}}{MARK "2 1 0" 28 }{VIEWOPTS 1 1 0 1 1 1803 }