Figure P5.58 shows coal being dropped from a hopper onto a conveyor belt at a constant rate of \(25 \mathrm{ft}^{3} / \mathrm{s}\). The coal has a specific gravity ranging from 1.12 to 1.50. The belt has a speed of \(5.0 \mathrm{ft} / \mathrm{s}\) and a loaded length of \(15.0 \mathrm{ft}\). Estimate the torque required to turn the drive pulley of the conveyor belt. The drive pulley diameter is \(2.0 \mathrm{ft}\). Assume that there is no friction between the belt and the other rollers.

Figure P5.58

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Coal hopper T -A = 12 ft 4.0' 15.0'