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 (2.8 m^3 / sec). The planned turbine would be 66% 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.

If the system produces 89,329 watts, what is the energy worth per day? Assume electricity costs of $0.09 per kWh.

If the system costs $102,657, how many years would it take to pay off the investment? Assume the energy is worth $88 per day. Assume there are 308 operational days per year (the rest are maintenance days).

THIS IS ALL ONE QUESTION