set output 'stu_swing_sqrt_f.ps' 
set term postscript color 'Helvetica,18'  
set style line 1 lt rgb 'red' lw 3  
set style line 2 lt rgb 'sea-green' lw 3  
set style line 3 lt rgb 'blue' lw 3  
set style line 4 lt rgb 'cyan' lw 3  
set style line 5 lt rgb 'violet' lw 3  
set grid 
set key top left 
set ylabel 'log10 [ Time for 10 oscillations (s) ]'
set xlabel 'log10 [ Outside diameter of ring (cm) ] ' 
set title 'Swinging ring experiment - sqrt version'
f(x) = -0.2388 + 1.98113*sqrt(x) 
plot [0:110][2:22]  './stu_jan12_2026.dat' index 0:4:2     using 1:2 with points ls 1 ps 1.5 pt 6 t ''  ,    f(x) with lines ls 3 t 'fit to sqrt(diam)' 
 
set output 
quit 
