1. Professor Bilton is considering putting an addition on her house. The addition would be a...

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1. Professor Bilton is considering putting an addition on her house. The addition would be a new home office since her kids currently have toys all over her current desk. She wants to understand what the heating/cooling requirements for this new space will be. Her house is at 4356'N, 7932'W. a) The new addition is oriented as shown in the figure on the right. Using the approximate sun-path diagram, also on the right, estimate the total amount of solar radiation which would be incident on the window on the SSW wall of the addition at 2pm (EDST) on July 21. Assume the sky is clear and that there is grass on the ground outside the window with a reflectivity of 0.2. (3.5 Points) Note, this is Daylight Savings Time. You can use the following equation for solar time. Planform of Addition *N 15 6AM Prof B's Existing House Proposed Addition GP 90 East Cross-Section of SSW Wall 0.5m 1.5m 0.5m Window TONE 30 bearing GN o South Solar Time LST DST + (ET + 4(Longitude - LSTM))/60 Where DST is 1 if the location is on daylight savings time, 0 if not. Oct 2 Now 2 b) Professor Bilton wants to cut the air conditioning load. She asks the architect to redesign the addition to include an awning on the SSW wall (see figure on the right). If she would like to cut the incident solar radiation by 40% (to decrease the air conditioning load) at 2pm (EDST) on July 21, how big should the awning be? Consider all types of radiation (direct, reflected, diffuse). Again, you can use the sun-path diagram and assume the sky is clear. (2 Points) 21 angles SSW Wall 1.5m 3m 44 NL Window West Cross-Section of SSW Wall c) Professor Bilton is also interested in taking advantage of the incident solar energy to supplement the heating system. As a result, she would like to know the impact of this new awning on the incident solar radiation in the fall/winter. In particular, at 12pm (EST) on Jan 21, what percentage of the window would be shaded by the new awning and what would be the incident solar radiation? You can consider that there would be snow on the ground with a reflectivity of 0.85. (3.5 Points) 1. Professor Bilton is considering putting an addition on her house. The addition would be a new home office since her kids currently have toys all over her current desk. She wants to understand what the heating/cooling requirements for this new space will be. Her house is at 4356'N, 7932'W. a) The new addition is oriented as shown in the figure on the right. Using the approximate sun-path diagram, also on the right, estimate the total amount of solar radiation which would be incident on the window on the SSW wall of the addition at 2pm (EDST) on July 21. Assume the sky is clear and that there is grass on the ground outside the window with a reflectivity of 0.2. (3.5 Points) Note, this is Daylight Savings Time. You can use the following equation for solar time. Planform of Addition *N 15 6AM Prof B's Existing House Proposed Addition GP 90 East Cross-Section of SSW Wall 0.5m 1.5m 0.5m Window TONE 30 bearing GN o South Solar Time LST DST + (ET + 4(Longitude - LSTM))/60 Where DST is 1 if the location is on daylight savings time, 0 if not. Oct 2 Now 2 b) Professor Bilton wants to cut the air conditioning load. She asks the architect to redesign the addition to include an awning on the SSW wall (see figure on the right). If she would like to cut the incident solar radiation by 40% (to decrease the air conditioning load) at 2pm (EDST) on July 21, how big should the awning be? Consider all types of radiation (direct, reflected, diffuse). Again, you can use the sun-path diagram and assume the sky is clear. (2 Points) 21 angles SSW Wall 1.5m 3m 44 NL Window West Cross-Section of SSW Wall c) Professor Bilton is also interested in taking advantage of the incident solar energy to supplement the heating system. As a result, she would like to know the impact of this new awning on the incident solar radiation in the fall/winter. In particular, at 12pm (EST) on Jan 21, what percentage of the window would be shaded by the new awning and what would be the incident solar radiation? You can consider that there would be snow on the ground with a reflectivity of 0.85. (3.5 Points)