Water flows steadily down a flat conveyor belt that is inclined at 30° below horizontal, with gravity acting vertically. Thebelt moves upwards along the slope at an unknown velocity. The layer of water is 12 mm thick. Determine the velocity of the conveyor belt such that the flow rate per unit width is 1.1 m³/s. Full credit requires correct solution of the velocity profile. \rho_{w}=1000 \frac{\mathrm{kg}}{\mathrm{m}^{3}} \quad \mu_{w}=0.00089 \mathrm{~Pa} \cdot \mathrm{s}

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