(Solved): The nearby town of Bellefonte, PA features the Gamble Mill, an old mill originally used to grind gr ...

The nearby town of Bellefonte, PA features the Gamble Mill, an old mill originally used to grind grain into flour-1800s hydropower. The mill dam, pond, millrace and tail race are still in place and functional. The mill building is now a restaurant (currently for sale), but all the water-works are owned by the borough. The municipal manager wants to put the system back to work as a small hydroelectric system to help supply the borough's electricity. Does this idea make sense? How much power could this system produce? The height difference between the mill race and the tailrace is ten feet ( 3 meters), and the stream can supply, on average, 100 cubic feet of water per second \( \left(2.8 \mathrm{~m}^{\wedge} 3 / \mathrm{sec}\right) \). The planned turbine would be \( 78 \% \) efficient under those conditions. Power (watts) = density of water \( { }^{*} \) height * flow rate * acceleration of gravity * coefficient of efficiency NOTE: the coefficient of gravity is \( 9.81 \) for this problem Don't round your answers. Question 2 \( 20 \mathrm{pts} \) If the system produces 87,201 watts, what is the energy worth per day? Assume electricity costs of \( \$ 0.09 \) per \( \mathrm{kWh} \).