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Shared-Use Path Level of Service Calculator

Meetings Child Bicyclist

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR  PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL          
MEETINGS WORKSHEET                
        Travel Time=   14.06 min   MIN RECOM. X(MILES)= 2.8874
Qo= 7.77 vph   Ko=   0.983544 veh/mile        
MU 7.90 mph   No=   3  veh        
SIGMA 1.90 mph   ALPHAO= 1.0167 miles        
U= 12.8 mph                  
X= 3 miles   AVERAGE TOTAL MEETINGS= 4.77   PER HOUR= 20.36
        STANDARD DEVIATION= 2.18     1
        DETERMINISTIC  EQUATION= 4.77      
I=1 ALPHA V(X) F(VX) F(Vx+DX) F N MEETINGS        
    0       2.950633          
1 0.01 0.042667 0.99998393 0.999982 0.999983 0.009835          
2 0.02 0.085333 0.99998228 0.99998 0.999981 0.009835          
3 0.03 0.128 0.99998046 0.999978 0.999979 0.009835          
4 0.04 0.170667 0.99997847 0.999976 0.999977 0.009835          
5 0.05 0.213333 0.99997629 0.999974 0.999975 0.009835          
6 0.06 0.256 0.99997389 0.999971 0.999973 0.009835          
7 0.07 0.298667 0.99997127 0.999968 0.99997 0.009835          
8 0.08 0.341333 0.99996841 0.999965 0.999967 0.009835          
9 0.09 0.384 0.99996527 0.999962 0.999964 0.009835          
10 0.1 0.426667 0.99996184 0.999958 0.99996 0.009835          
11 0.11 0.469333 0.99995809 0.999954 0.999956 0.009835          
12 0.12 0.512 0.999954 0.99995 0.999952 0.009835          
13 0.13 0.554667 0.99994953 0.999945 0.999947 0.009835          
14 0.14 0.597333 0.99994465 0.999939 0.999942 0.009835          
15 0.15 0.64 0.99993933 0.999934 0.999936 0.009835          
16 0.16 0.682667 0.99993354 0.999927 0.99993 0.009835          
17 0.17 0.725333 0.99992722 0.99992 0.999924 0.009835          
18 0.18 0.768 0.99992034 0.999913 0.999917 0.009835          
19 0.19 0.810667 0.99991285 0.999905 0.999909 0.009835          
20 0.2 0.853333 0.9999047 0.999896 0.9999 0.009834          
21 0.21 0.896 0.99989584 0.999886 0.999891 0.009834          
22 0.22 0.938667 0.99988621 0.999876 0.999881 0.009834          
23 0.23 0.981333 0.99987575 0.999864 0.99987 0.009834          
24 0.24 1.024 0.99986439 0.999852 0.999858 0.009834          
25 0.25 1.066667 0.99985206 0.999839 0.999845 0.009834          
26 0.26 1.109333 0.99983869 0.999824 0.999831 0.009834          
27 0.27 1.152 0.9998242 0.999808 0.999816 0.009834          
28 0.28 1.194667 0.9998085 0.999791 0.9998 0.009833          
29 0.29 1.237333 0.99979149 0.999773 0.999782 0.009833          
30 0.3 1.28 0.99977308 0.999753 0.999763 0.009833          
31 0.31 1.322667 0.99975316 0.999732 0.999742 0.009833          
32 0.32 1.365333 0.99973162 0.999708 0.99972 0.009833          
33 0.33 1.408 0.99970834 0.999683 0.999696 0.009832          
34 0.34 1.450667 0.99968319 0.999656 0.99967 0.009832          
35 0.35 1.493333 0.99965603 0.999627 0.999641 0.009832          
36 0.36 1.536 0.99962673 0.999595 0.999611 0.009832          
37 0.37 1.578667 0.99959512 0.999561 0.999578 0.009831          
38 0.38 1.621333 0.99956104 0.999524 0.999543 0.009831          
39 0.39 1.664 0.99952432 0.999485 0.999505 0.009831          
40 0.4 1.706667 0.99948476 0.999442 0.999463 0.00983          
41 0.41 1.749333 0.99944219 0.999396 0.999419 0.00983          
42 0.42 1.792 0.99939638 0.999347 0.999372 0.009829          
43 0.43 1.834667 0.99934712 0.999294 0.999321 0.009829          
44 0.44 1.877333 0.99929417 0.999237 0.999266 0.009828          
45 0.45 1.92 0.99923728 0.999176 0.999207 0.009828          
46 0.46 1.962667 0.9991762 0.999111 0.999143 0.009827          
47 0.47 2.005333 0.99911064 0.99904 0.999075 0.009826          
48 0.48 2.048 0.99904032 0.998965 0.999003 0.009826          
49 0.49 2.090667 0.99896493 0.998884 0.998925 0.009825          
50 0.5 2.133333 0.99888414 0.998798 0.998841 0.009824          
51 0.51 2.176 0.9987976 0.998705 0.998751 0.009823          
52 0.52 2.218667 0.99870497 0.998606 0.998655 0.009822          
53 0.53 2.261333 0.99860584 0.9985 0.998553 0.009821          
54 0.54 2.304 0.99849984 0.998387 0.998443 0.00982          
55 0.55 2.346667 0.99838653 0.998265 0.998326 0.009819          
56 0.56 2.389333 0.99826548 0.998136 0.998201 0.009818          
57 0.57 2.432 0.99813621 0.997998 0.998067 0.009816          
58 0.58 2.474667 0.99799824 0.997851 0.997925 0.009815          
59 0.59 2.517333 0.99785106 0.997694 0.997773 0.009814          
60 0.6 2.56 0.99769414 0.997527 0.997611 0.009812          
61 0.61 2.602667 0.99752691 0.997349 0.997438 0.00981          
62 0.62 2.645333 0.99734879 0.997159 0.997254 0.009808          
63 0.63 2.688 0.99715916 0.996957 0.997058 0.009807          
64 0.64 2.730667 0.99695737 0.996743 0.99685 0.009804          
65 0.65 2.773333 0.99674277 0.996515 0.996629 0.009802          
66 0.66 2.816 0.99651465 0.996272 0.996393 0.0098          
67 0.67 2.858667 0.99627228 0.996015 0.996144 0.009798          
68 0.68 2.901333 0.9960149 0.995742 0.995878 0.009795          
69 0.69 2.944 0.99574172 0.995452 0.995597 0.009792          
70 0.7 2.986667 0.99545192 0.995145 0.995298 0.009789          
71 0.71 3.029333 0.99514463 0.994819 0.994982 0.009786          
72 0.72 3.072 0.99481897 0.994474 0.994646 0.009783          
73 0.73 3.114667 0.99447401 0.994109 0.994291 0.009779          
74 0.74 3.157333 0.9941088 0.993722 0.993916 0.009776          
75 0.75 3.2 0.99372234 0.993314 0.993518 0.009772          
76 0.76 3.242667 0.9933136 0.992882 0.993098 0.009768          
77 0.77 3.285333 0.99288151 0.992425 0.992653 0.009763          
78 0.78 3.328 0.99242497 0.991943 0.992184 0.009759          
79 0.79 3.370667 0.99194284 0.991434 0.991688 0.009754          
80 0.8 3.413333 0.99143394 0.990897 0.991166 0.009749          
81 0.81 3.456 0.99089706 0.990331 0.990614 0.009743          
82 0.82 3.498667 0.99033094 0.989734 0.990033 0.009737          
83 0.83 3.541333 0.98973429 0.989106 0.98942 0.009731          
84 0.84 3.584 0.98910579 0.988444 0.988775 0.009725          
85 0.85 3.626667 0.98844406 0.987748 0.988096 0.009718          
86 0.86 3.669333 0.9877477 0.987015 0.987381 0.009711          
87 0.87 3.712 0.98701526 0.986245 0.98663 0.009704          
88 0.88 3.754667 0.98624528 0.985436 0.985841 0.009696          
89 0.89 3.797333 0.98543622 0.984587 0.985011 0.009688          
90 0.9 3.84 0.98458654 0.983695 0.984141 0.009679          
91 0.91 3.882667 0.98369464 0.982759 0.983227 0.00967          
92 0.92 3.925333 0.9827589 0.981778 0.982268 0.009661          
93 0.93 3.968 0.98177767 0.980749 0.981263 0.009651          
94 0.94 4.010667 0.98074924 0.979672 0.980211 0.009641          
95 0.95 4.053333 0.97967189 0.978544 0.979108 0.00963          
96 0.96 4.096 0.97854386 0.977363 0.977954 0.009619          
97 0.97 4.138667 0.97736336 0.976129 0.976746 0.009607          
98 0.98 4.181333 0.97612859 0.974838 0.975483 0.009594          
99 0.99 4.224 0.97483768 0.973489 0.974163 0.009581          
100 1 4.266667 0.97348877 0.97208 0.972784 0.009568          
101 1.01 4.309333 0.97207997 0.970609 0.971345 0.009554          
102 1.02 4.352 0.97060935 0.969075 0.969842 0.009539          
103 1.03 4.394667 0.96907499 0.967475 0.968275 0.009523          
104 1.04 4.437333 0.96747491 0.965807 0.966641 0.009507          
105 1.05 4.48 0.96580716 0.96407 0.964938 0.009491          
106 1.06 4.522667 0.96406973 0.962261 0.963165 0.009473          
107 1.07 4.565333 0.96226065 0.960378 0.961319 0.009455          
108 1.08 4.608 0.96037789 0.958419 0.959399 0.009436          
109 1.09 4.650667 0.95841945 0.956383 0.957401 0.009416          
110 1.1 4.693333 0.95638332 0.954267 0.955325 0.009396          
111 1.11 4.736 0.95426746 0.95207 0.953169 0.009375          
112 1.12 4.778667 0.95206989 0.949789 0.950929 0.009353          
113 1.13 4.821333 0.94978858 0.947422 0.948605 0.00933          
114 1.14 4.864 0.94742155 0.944967 0.946194 0.009306          
115 1.15 4.906667 0.9449668 0.942422 0.943695 0.009282          
116 1.16 4.949333 0.94242237 0.939786 0.941104 0.009256          
117 1.17 4.992 0.93978633 0.937057 0.938422 0.00923          
118 1.18 5.034667 0.93705673 0.934232 0.935644 0.009202          
119 1.19 5.077333 0.93423169 0.931309 0.932771 0.009174          
120 1.2 5.12 0.93130935 0.928288 0.929799 0.009145          
121 1.21 5.162667 0.92828787 0.925165 0.926727 0.009115          
122 1.22 5.205333 0.92516548 0.92194 0.923553 0.009084          
123 1.23 5.248 0.92194042 0.918611 0.920276 0.009051          
124 1.24 5.290667 0.918611 0.915176 0.916893 0.009018          
125 1.25 5.333333 0.91517557 0.911633 0.913404 0.008984          
126 1.26 5.376 0.91163255 0.90798 0.909806 0.008948          
127 1.27 5.418667 0.90798041 0.904218 0.906099 0.008912          
128 1.28 5.461333 0.90421769 0.900343 0.90228 0.008874          
129 1.29 5.504 0.90034299 0.896355 0.898349 0.008836          
130 1.3 5.546667 0.89635499 0.892252 0.894304 0.008796          
131 1.31 5.589333 0.89225245 0.888034 0.890143 0.008755          
132 1.32 5.632 0.88803421 0.883699 0.885867 0.008713          
133 1.33 5.674667 0.88369918 0.879246 0.881473 0.00867          
134 1.34 5.717333 0.87924639 0.874675 0.876961 0.008625          
135 1.35 5.76 0.87467493 0.869984 0.872329 0.00858          
136 1.36 5.802667 0.86998401 0.865173 0.867578 0.008533          
137 1.37 5.845333 0.86517295 0.860241 0.862707 0.008485          
138 1.38 5.888 0.86024113 0.855188 0.857715 0.008436          
139 1.39 5.930667 0.8551881 0.850013 0.852601 0.008386          
140 1.4 5.973333 0.85001347 0.844717 0.847365 0.008334          
141 1.41 6.016 0.84471698 0.839299 0.842008 0.008282          
142 1.42 6.058667 0.83929852 0.833758 0.836528 0.008228          
143 1.43 6.101333 0.83375805 0.828096 0.830927 0.008173          
144 1.44 6.144 0.82809568 0.822312 0.825204 0.008116          
145 1.45 6.186667 0.82231167 0.816406 0.819359 0.008059          
146 1.46 6.229333 0.81640636 0.81038 0.813393 0.008          
147 1.47 6.272 0.81038025 0.804234 0.807307 0.00794          
148 1.48 6.314667 0.80423397 0.797968 0.801101 0.007879          
149 1.49 6.357333 0.79796829 0.791584 0.794776 0.007817          
150 1.5 6.4 0.79158411 0.785082 0.788333 0.007754          
151 1.51 6.442667 0.78508246 0.778465 0.781773 0.007689          
152 1.52 6.485333 0.77846453 0.771732 0.775098 0.007623          
153 1.53 6.528 0.77173162 0.764885 0.768308 0.007557          
154 1.54 6.570667 0.76488519 0.757927 0.761406 0.007489          
155 1.55 6.613333 0.75792685 0.750858 0.754393 0.00742          
156 1.56 6.656 0.75085831 0.743681 0.74727 0.00735          
157 1.57 6.698667 0.74368147 0.736398 0.74004 0.007279          
158 1.58 6.741333 0.73639833 0.729011 0.732705 0.007206          
159 1.59 6.784 0.72901104 0.721522 0.725266 0.007133          
160 1.6 6.826667 0.7215219 0.713933 0.717728 0.007059          
161 1.61 6.869333 0.71393332 0.706248 0.710091 0.006984          
162 1.62 6.912 0.70624787 0.698468 0.702358 0.006908          
163 1.63 6.954667 0.69846823 0.690597 0.694533 0.006831          
164 1.64 6.997333 0.69059721 0.682638 0.686617 0.006753          
165 1.65 7.04 0.68263777 0.674593 0.678615 0.006674          
166 1.66 7.082667 0.67459295 0.666466 0.670529 0.006595          
167 1.67 7.125333 0.66646596 0.65826 0.662363 0.006515          
168 1.68 7.168 0.65826007 0.649979 0.654119 0.006434          
169 1.69 7.210667 0.64997872 0.641625 0.645802 0.006352          
170 1.7 7.253333 0.64162542 0.633204 0.637415 0.006269          
171 1.71 7.296 0.63320378 0.624718 0.628961 0.006186          
172 1.72 7.338667 0.62471754 0.616171 0.620444 0.006102          
173 1.73 7.381333 0.61617051 0.607567 0.611869 0.006018          
174 1.74 7.424 0.60756659 0.59891 0.603238 0.005933          
175 1.75 7.466667 0.59890977 0.590204 0.594557 0.005848          
176 1.76 7.509333 0.59020412 0.581454 0.585829 0.005762          
177 1.77 7.552 0.58145377 0.572663 0.577058 0.005676          
178 1.78 7.594667 0.57266293 0.563836 0.568249 0.005589          
179 1.79 7.637333 0.56383586 0.554977 0.559406 0.005502   &