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Southern New Hampshire University *

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20037

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Physics

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Feb 20, 2024

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ne Earth Calculation Worksheet Directions You’ve been asked to recommend whether or not SNHU should install solar energy panels on one of its buildings in Manchester, New Hampshire, to reduce the university’s carbon footprint. Using the data in the SNHU Site Data document in the Supporting Materials section, you will conduct a series of calculations. With those calculations, you will create a technical report for SNHU that explains whether the university should invest in solar energy by purchasing the system or by leasing. Your technical report should reference the following calculations on this worksheet: General rule for rounding: If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. For example, 38 rounded to the nearest ten is 40. 12.678 rounded to the hundredths place is 12.68. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. If the number you are rounding is followed by a 5, 6, 7, 8 or 9, round the number up. (https://www.factmonster.com/math/numbers/rounding-numbers-rules-examples-fractions-sums ) 1. A calculation of the total electricity output of a solar panel system in kilowatts hours (kWh) Use the following steps as a guide to making this calculation. Please show your work for all calculations in the response boxes. 1A . What are the dimensions of the building’s roof in meters? 60 meters by 30 meters = 1800 square meters 1B . What are the dimensions of each solar panel in centimeters? (To convert from inches to centimeters, multiply the dimensions in inches by 2.54 and do not round until the last step of the calculation.) Find the number of centimeters for each dimension. Round to the nearest tenth. 80 inches by 40 inches by 2 inches 80inches * 2.54 = 203.2 centimeters 40 inches * 2.54 centimeters = 101.6 centimeters 2 inches * 2.54 centimeters = 5.08 centimeters 203.2 centimeters (length) by 101.6 centimeters (width) by 5.08 centimeters (height) 1C . How many panels will fit on the roof in each direction? Round down to the nearest whole panel. What is the total number of whole panels that will fit on the roof? Assume the panels are laid out on the roof in this configuration. Drawing is not to scale per the roof’s measurements.; you will need to calculate the number of panels needed given the roof’s actual length and width.
Vertically: 29 panels Horizontally: 29 panels Total Number of Panels: 841 1D . Convert the dimensions of one panel from centimeters to meters. Use these values and the dimensions of the roof in meters to find the area of the panels in meters to make sure that the area covered by of the panels is less than the area of the roof. Round to the nearest thousandth. Area = length x width. 1800 square meters Assume 1kW = 1,000W, and 1 hour of sunlight produces 400 watts per panel per hour. 1E . How many kW per hour (kWh) of sunlight could be produced per solar panel? Per the entire system (based on how many panels could fit on the roof)? Round to the nearest tenth. 400 watts per panel divided by 1000 watts = .4kW/hours of sunlight 1F . How many hours of sunlight are expected on average per month? Calculate the average hours based on the monthly data provided. Round down to the nearest tenth of an hour.
1G . What is the average amount of kWh produced by one panel based on the average amount of sunlight per month? Per year? Round to the nearest hundredth kWh. 1H . What is the total amount of kWh that is produced by the entire solar panel system per month based on the average monthly sunlight? Per year? Round to the nearest hundredth kWh. 1. A calculation of the difference between the current electricity usage of the building and the electricity generated by a solar panel system in kilowatt hours and in dollars Use the following steps as a guide to making this calculation. Please show your work for all calculations in the response boxes. 2A . How much electricity does the building use on average annually in watts and in dollars? 2B . What is the estimated total amount of kWh produced by the entire solar panel system on this building per year, based on the average monthly sunlight for the area? Hint: You have already calculated this in an earlier question. 2C . Based on the average cost of electricity in the area, is there a savings from implementing the solar panel system? Is the amount of electricity generated by the solar panel system sufficient to cover SNHU’s yearly electricity usage? If not, what is the remaining energy needed in kW? How much would this cost in dollars? In other words, what is the remaining utility bill? If the energy generated is more than the energy needed to run the building, how much additional savings is there for energy that can be channeled to other buildings on campus or sold back to the energy company?
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2. A determination of the likelihood of receiving a damaged panel SNHU expressed some concerns about receiving damaged solar panels from the manufacturer. You would like to be transparent and address these concerns by illustrating the likelihood of a damaged panel based on the size of the system SNHU would be purchasing. The manufacturer has reported that since solar panels are complex and evolving technology, 1 out of every 1,000 manufactured solar panels is defective. Please show your work for all calculations in the response boxes. 3A . How many panels fit on the roof? Hint: You have already calculated this. 3B . What is the probability or likelihood that SNHU will receive a damaged solar panel, based on the number of panels it would be purchasing? 3. A determination of how long it would take to pay back the cost of buying the system in years Use the following steps as a guide to making this calculation—you can assume there will not be any required maintenance during the first 10 years. Please show your work for all calculations in the response boxes. 4A . What would be the upfront cost to purchase and install the solar panel system? How much does each panel cost? How much does the entire system cost? How much does installation cost? What are the government incentives? How does that affect the cost? What is the remaining utility cost, if there is one? 4B . How much will your solar panels save SNHU per year? 4C . How long would it take to pay back the cost of purchasing the solar panel system in years? (Years = Net Cost to Purchase and Install Solar Panel System / Savings Per Year) The time in years should take into account all energy savings, not just those for the building on which the solar panels are installed.
4. A determination of the cost of leasing a solar panel system for 10 years. Use the following steps as a guide to making this calculation. Please show your work for all calculations in the response boxes. 5A . What is the total cost to lease the solar system for 10 years in dollars? How much does it cost to rent one panel for one month? How much does it cost to rent the entire solar panel system for 10 years, assuming no price increases? 5B . What is the total remaining utility bill for 10 years? 5. Evaluate whether there is a cost savings over 10 years for purchasing or leasing the solar panel system Fill out the table to compare the options. Please note that every expense or savings will not apply to every option. You need to determine which costs and savings belong where. 10-year cost without installing solar panels 10-year cost of purchasing the solar panels 10-year cost of leasing the solar panels Value of surplus electricity generated by solar panels for 10 years 0 Other savings for 10 years 0 -$1,460,695.90 -$447,567.45 Total savings Cost of electricity for 10 years $447,567.50 0 $2400 Cost of leasing for 10 years 0 0 Cost of purchasing 0 $470,960 Installation cost 0 $252,300 Other expenses 0 0 Discount on purchase and installation 0 -$216,978 Total cost $447,567.50 $506,282 Net cost or savings over 10 years* $447,567.50 -$954,413.90
*Hint: Subtract total cost from total savings
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