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Science Concepts Answer Sheet
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Note: Fill out all cells with BORDERSClass period:Laptop ID:
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The Sun's Path
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Table 1: Daily Change of Solar Angles
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Boston, MA; June 22
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TimeZenith (°)Azimuth (°)
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6:00 AM7572
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9:00 AM
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12:00 PM
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3:00 PM
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6:00 PM
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Can the zenith angle be 0° on June 22 in Boston? If yes, when is it? If not, why?
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Which direction does the Sun rise in the summer? Exactly east, northeast, or southeast?
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Table 2: Seasonal Change of Solar Angles
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Boston, MA; 12:00 PM
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DayZenith at noon (°)
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Vernal equinox (March 22)
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Summer solstice (June 22)
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Autumnal equinox (September 22)
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Winter solstice (December 22)
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In which season is the Sun highest in the sky?
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Table 3: Seasonal Changes of Daytime
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Boston, MASunrise timeSunset time
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Day(0:00 AM)(0:00 PM)Daytime
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Vernal equinox (March 22)6:01:00 AM6:00:00 PM11:59:00
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Summer solstice (June 22)0:00:00
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Autumnal equinox (September 22)0:00:00
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Winter solstice (December 22)0:00:00
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In which season is the daytime the longest in Boston? Explain why.
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Table 4: The Sun's Path in Different Parts of the World
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Sunrise timeSunset time
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PlaceDayZenith at noon (°)(0:00 AM)(0:00 PM)Daytime
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BostonJune 22190:00:00
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December 220:00:00
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MiamiJune 220:00:00
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December 220:00:00
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SingaporeJune 220:00:00
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December 220:00:00
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South PoleJune 220:00:00
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December 2224:00:00
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Which place above has longer daytime than Miami on June 22?
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Which place has similar daytime in the summer and winter? Explain why.
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Test Your Knowledge
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Table 5: Optimize the Output of a Solar Panel
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Boston, MA
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Test #Solar panel position (x, y; m)Annual output (kWh)Azimuth (°)Tilt (°)
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Best solution
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Explain why your best solution can generate the most electricity compared with the other locations you have tested.
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If Judd has to put the solar panel in the north part, what changes to the environment and the solar panel can be made to increase the panel's output?
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