Task $1$

A$)$ Explain Bernoulli's theorem, if head losses and a pump considered how these can be introduced to the equation.

From the data obtained from laboratory experiments find the three head components of Bernoulli's equation and the total head, comment on the results.

$\backslash$table$[[\backslash$table$[[$Distance into duct$],[($m$)]],\backslash$table$[[$Area of duct$],[$A$($m$^(2))]],\backslash$table$[[$Static head$],[$h$($m$)]],\backslash$table$[[$Velocity$],[$v$($m$/$sec$)]],\backslash$table$[[$Dynamic head$],[$hd $($m$)]],\backslash$table$[[$Total head$],[$ht $($m$)]]],[$h$1,0\mathrm{.}0000,490\mathrm{.}9\backslash$times $10^(-6),0\mathrm{.}088,,,],[$h$2,0\mathrm{.}0603,151\mathrm{.}7\backslash$times $10^(-6),0\mathrm{.}083,,,],[$h$3,0\mathrm{.}0687,109\mathrm{.}4\backslash$times $10^(-6),0\mathrm{.}075,,,],[$h$4,0\mathrm{.}0732,89\mathrm{.}9\backslash$times $10^(-6),0\mathrm{.}064,,,],[$h$5,0\mathrm{.}0811,78\mathrm{.}5\backslash$times $10^(-6),0\mathrm{.}070,,,],[$h$6,0\mathrm{.}1415,490\mathrm{.}9\backslash$times $10^(-6),0\mathrm{.}055,,,]]$

$\backslash$table$[[$Discharge $($Q$)$ No:$],[$No$.,$Volume $(1),$Time $($sec$.),\backslash$table$[[$Discharge$],[(1/$sec$.)]]],[1,2,35\mathrm{.}83,],[2,2,38\mathrm{.}62,],[3,2,35\mathrm{.}45,],[$Average Q in m$^(3)/$sec$=]]$