Solar Panel Technical Report Part I
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Solar Panel Technical Report Part 1
Questions to Explore
In this worksheet, you explore the following questions:
● How many solar panels will fit on the roof?
● How many defective solar panels should the university expect to receive?
● How much money should the university expect to pay to fix the defective solar panels?
As you address the questions in the worksheet, be sure to show all of your mathematical calculations.
How many solar panels will fit on the roof?
1. Convert length measurements of the roof and solar panels so both use the same unit (you should do your calculations in metric units using the conversion rate of 1 inch = .0254 meters).
2. Determine how many panels will fit on the roof if the panels are, in general, placed vertically. Note that panels cannot be cut.
3. Determine how many panels will fit on the roof if the panels are, in general, placed horizontally. Note that panels cannot be cut.
4. Can you conclude how many panels will fit on the roof?
How many defective panels should the university expect to receive?
1. Convert the probability of receiving a defective solar panel into a decimal for both solar panels more than and less than a year old.
2. Determine how many defective panels the university should expect to receive if they purchase solar panels more than a year old.
3. Determine how many defective panels the university should expect to receive if they purchase solar panels less than a year old.
4. Convert the probability of receiving a solar panel more than a year old into a decimal. Additionally, convert the probability of receiving a solar panel less than a year old into a decimal.
5. Determine how many defective solar panels the university should expect to receive if they purchase solar panels based on the probability of the type of solar panel they receive. (Remember, the university could receive a mix of solar panels some of which are less than one year old and some which are more than one year old).
How much money should the university expect to pay to replace defective panels?
1. Determine the cost of a single solar panel.
2. Determine the expected cost of defective solar panels.
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Solution Summary
Step-by-step explanations and calculations are given.
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How many solar panels will fit on the roof?
1. Convert length measurements of the roof and solar panels so both use the same unit (you should do your calculations in metric units using the conversion rate of 1 inch = .0254 meters).
Dimensions of the roof = 60m * 40m
Dimensions of each solar panel = 80in * 40in (2in is the thickness)
Convert the length of each solar panel to meters:
(1 inch)/(0.0254 meters) = (80 inch)/(L meters)
Length L = 80 * 0.0254 = 2.032 m.
Convert the width of each solar panel to meters.
(1 inch)/(0.0254 meters) = (40 inch)/(W meters)
Width W = 40 * 0.0254 = 1.016 m.
2. Determine how many panels will fit on the roof if the panels are, in general, placed vertically. Note that panels cannot be cut.
The number of panels that would fit on the roof if they were placed vertically is:
40m / 2.032m = 59 solar panels (rounded down)
60m / 1.016m = 19 solar panels (rounded down)
Number of panels that would fit on the roof = 19 * 59 = 1121 solar panels.
Check if there is any additional space left on the roof to place solar panels horizontally:
40m - 19 * 2.032m = 1.392m
Note that 1.016m < 1.392m
Since each solar panel is only 1.016m wide, there is enough space left of the roof to place solar panels horiontally.
Number of solar panels that can be placed horizontally in the remaining space:
60m / 2.032m = 29 solar panels ...
Education
- MSc, California State Polytechnic University, Pomona
- MBA, University of California, Riverside
- BSc, California State Polytechnic University, Pomona
- BSc, California State Polytechnic University, Pomona
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