7. A horizontal conveyer belt moving at 3ft/s receives sand from a hopper. The sand falls vertically from the hopper to the belt at a speed of 5 ft/s and a flow rate of 500 lbm/s(the density of sand is ~2700 Ibm/cubic yard). The conveyor belt is initially empty but begins to fill with sand. If friction in the
drive system and rollers is negligible, find the tension required to pull the belt while the conveyor is filling. (Hint: Watch lecture)
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