Homework 5_ Solar Energy and Hydropower_ EGEE 101 (SP24 WC ONLINE MERGED)

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Pennsylvania State University *

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101

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Aerospace Engineering

Date

Apr 3, 2024

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pdf

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3

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Homework 5: Solar Energy and Hydropower Due Mar 25 at 11:59pm Points 100 Questions 6 Available Mar 11 at 12am - Apr 4 at 11:59pm Time Limit None Allowed Attempts Unlimited Attempt History Attempt Time Score KEPT Attempt 2 5 minutes 100 out of 100 LATEST Attempt 2 5 minutes 100 out of 100 Attempt 1 9 minutes 65 out of 100 Score for this attempt: 100 out of 100 Submitted Mar 11 at 12:27am This attempt took 5 minutes. Question 1 20 / 20 pts Correct! Take the Quiz Again 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 61% 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.
50,266.44 Correct Answer 50,266 margin of error +/- 30 Question 2 20 / 20 pts Correct! 81.46 Correct Answer 81.46 margin of error +/- 0.5 Question 3 20 / 20 pts Correct! 3 Correct Answer 3 margin of error +/- 0.1 Question 4 15 / 15 pts Correct! 0.51 Correct Answer 0.51 margin of error +/- 5% If the system produces 48,486 watts, what is the energy worth per day? Assume electricity costs of $0.07 per kWh. If the system costs $105,884, how many years would it take to pay off the investment? Assume the energy is worth $113 per day. Assume there are 309 operational days per year (the rest are maintenance days). 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.
Question 5 15 / 15 pts Correct! 676.62 Correct Answer 677 margin of error +/- 5% Question 6 10 / 10 pts Wind energy Correct! Active solar Correct! Photovoltaic cells Correct! Solar thermal energy conversion Correct! Passive solar Tidal power Quiz Score: 100 out of 100 In Arizona, where there are 327 sunny days per year, it requires 329 acres of land to generate 300 MW of average annual power. If there are only 159 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. What are the four types of solar energy utilization?
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