Break design procedures $(8$ marks$).$

Belt Conveyor $($THE CrisBelt AIRPORT CONVEYOR specification$)$:

Width of Belt: $800,{10}^{3}mm$ and $1200$ mm for $00$ G

Conveyor Length: Up to $20$ m

Live load: $70K\frac{g}{m}$

Low friction belts: smooth belt for flat rough$-$top belt for incline$/$decline up to $18$

Motor: $0\mathrm{.}75$ to four KW shaft mounted.

Time bearings: more than $70\mathrm{.}000$ h $.$

Side guard: $300,400$&$500mm$ height.

Speed of Belt: $0\mathrm{.}2$ Up to $2\mathrm{.}5\frac{m}{s}.$

I want to calculate the brakes design for this conveyor. Assuming the value and solve this equation.

This energy must be absorbed by the brake. If the rotating body is stopped after applying the brakes, then ${}_2=0,$ and

$E_2=\frac{1}{7}I({}_1{)}^2$