Answer:
The maximum load that the conveyor can handle is given by:
Load = Belt tension x belt width x coefficient of friction
= 5.25 x 900 x 0.25
= 1143.75 N/m
The power required to move the conveyor is given by:
Power = Load x speed x gradient x idler friction factor
= 1143.75 x 1.5 x 0.1 x 0.03
= 17.15625 W/m
The total power required to move the conveyor is given by:
Power = Power per unit length x conveyor length
= 17.15625 x L
The maximum permissible length of the conveyor can be found by rearranging the equation above:
L = Power / Power per unit length
= 150 / (17.15625 x 0.85)
= 96.8 m