Problem $4$:

The Figure below shows a mass measurement system. The system consists of a load cell and a mass readout unit. All available information is written below each device. The resolution of the load cell is unknown. If the system zero$-$order uncertainty is $\backslash (\backslash$pm $\backslash$mathbf$\{0.1118\}\backslash$mathbf$\{$~ k g$\}\backslash ),$ calculate:

a$)$ The load cell resolution.

b$)$ The system design stage uncertainty.

Load Cell

Resolution: $\backslash (\backslash$pm $\backslash )$ Unknown kg over output range

Linearity Error: $\backslash (\backslash$pm $\backslash$mathbf$\{0.4\backslash \%\}\backslash )$ of reading

Linearity Error: $\backslash (\backslash$pm $\backslash$mathbf$\{0.5\backslash \%\}\backslash )$ of reading

Hysteresis Error: $\backslash (\backslash$mathbf$\{\backslash$pm $0.5\}\backslash$mathbf$\{$~ k g$\}\backslash )$ over output range

Sensitivity Error: $\backslash (\backslash$pm $0\mathrm{.}3\backslash \%\backslash )$ of output range

Zero Shift Error: $\backslash (\backslash$pm $\backslash$mathbf$\{0.25\backslash \%\}\backslash )$ of output range