Table $1$: Material specifications

$\backslash$begin$\{$tabular$\}\{|$l$|$l$|\}$

$\backslash$hline $\backslash$multicolumn$\{2\}\{|$c$|\}\{$ Torsion bar specification $\}\backslash \backslash$

$\backslash$hline Length $($L$)$ & To be measured $\backslash (\backslash$quad $\backslash )$ L $\backslash (25\backslash$quad $\backslash$mathrm$\{$~cm$\}\backslash ))\backslash \backslash$

$\backslash$hline Cross section $($A$)$ & $\backslash (4\mathrm{.}75\backslash$times $19\mathrm{.}75\backslash$mathrm$\{$~mm$\}^\{2\}\backslash )\backslash \backslash$

$\backslash$hline Modulus of elasticity $($E$)$ & $210$ GPa $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

$1)$ Calculate the measured strain for each load and show sample calculation.

$2)$ Calculate the measured stress for each load and show sample calculation.

$3)$ Calculate the theoretical stress for each load and show sample calculation.

$4)$ Calculate the percentage error between the theoretical and measured stress for each load and show sample calculation....

Data:

$\backslash$begin$\{$tabular$\}\{|$l$|$l$|\}$

$\backslash$hline $\backslash (\backslash$mathrm$\{$F$\}(\backslash$mathrm$\{$N$\})\backslash )$ & Reading $\backslash ((\backslash$mathrm$\{$mV$\}/\backslash$mathrm$\{$V$\})\backslash )\backslash \backslash$

$\backslash$hline $0\mathrm{.}5$ & $-0\mathrm{.}043\backslash \backslash$

$\backslash$hline $1$ & $-0\mathrm{.}058\backslash \backslash$

$\backslash$hline $1\mathrm{.}5$ & $-0\mathrm{.}073\backslash \backslash$

$\backslash$hline $2$ & $-0\mathrm{.}089\backslash \backslash$

$\backslash$hline $2\mathrm{.}5$ & $-0\mathrm{.}104\backslash \backslash$

$\backslash$hline $3$ & $-0\mathrm{.}120\backslash \backslash$

$\backslash$hline $3\mathrm{.}5$ & $-0\mathrm{.}135\backslash \backslash$

$\backslash$hline $4$ & $-0\mathrm{.}150\backslash \backslash$

$\backslash$hline $4\mathrm{.}5$ & $-0\mathrm{.}164\backslash \backslash$

$\backslash$hline $5$ & $-0\mathrm{.}179\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$