Activity $16-1-$Load Cells A vertical vessel with a nominal capacity of $5000$ gal. is to be mounted on four electronic shear$-$type load cells. The system is designed so that in an extreme case, three of the four load cells can carry the entire weight. The liquid specific gravity is $1\mathrm{.}15.$ The tare weight of the empty vessel is $5380$ lb$.$ Shear$-$type load cells are available in the following ranges: $2000$ lb$,5000$ lb$,10,000$ lb$,15,000$ lb$,20,000$ lb$,$ and $30,000$ lb$.$

$1.$ Select a measurement range for the weigh system?$2.$ Using the measured weight and the tare weight, select a set of four electronic shear$-$type load cells for this application?

$3.$ The electronic load cell readout has four active digits to display the weight. What is the smallest weight that can be displayed?

$4.$ Given an accuracy of $0\mathrm{.}1\%,$ what is the maximum inaccuracy in lb when the tank is full?

$5.$ Given an accuracy of $0\mathrm{.}1\%,$ what is the maximum inaccuracy in lb when the tank is $10\%$ full?