The nearby town of Bellefonte, PA features the Gamble Mill, an old mill originally used to grind grain into flour – 1800s hydropower.

Answer following science related questions

1. 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.

2. If the system produces 33,585 watts, what is the energy worth per day?  Assume electricity costs of $0.1 per kWh.

3.

If the system costs $118,021, how many years would it take to pay off the investment?  Assume the energy is worth $106 per day.  Assume there are 309 operational days per year (the rest are maintenance days).

4.

In Arizona, photovoltaic (PV) panels can generate an average annual power of 1 MW/acre. If there are 305 sunny days per year in Arizona, but only 155 sunny days per year in Pennsylvania, how much average power (in MW/acre) could the same PV panels generate in Pennsylvania? Please include two decimal places in your answer. Note: assume that a cloudy day delivers 0 watts/acre of solar power. This is not true, but it simplifies the problem for us.

5.

In Arizona, where there are 318 sunny days per year, it requires 338 acres of land to generate 300 MW of average annual power. If there are only 158 sunny days per year in Pennsylvania, how many acres of land would it require to generate the same average annual power? Please round to the nearest acre. Note: assume that a cloudy day delivers 0 watts/acre of solar power. This is not true, but it simplifies the problem for us.

6.

What are the four types of solar energy utilization?

Group of answer choices

Tidal power

Wind energy

Solar thermal energy conversion

Photovoltaic cells

Passive solar

Active solar

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