Your diagrams should show that sun angle with season and location. Since such va
ID: 237107 • Letter: Y
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Your diagrams should show that sun angle with season and location. Since such variability greatly influences weather patterns, it is useful to be able to calculate the noon sun angle for a given latitude We must first define a few terms: solar declination-the latitude at which the sun it directly overhead at solar noon zenith angle-the angle between a point directly overhead and the sun at solar noon solar elevation (sun) angle-the angle of the can above the horizon at solar noon Since we can assume that the sun's rays strike Earth in straight, parallel paths, we see that the zenith angle of any location is the same as the place receiving direct solar rays Notice m Figure 2-6 that the zenith angle A at 40 degree N is the same as the latitude difference between 40 degree N and the solar declination (where the sun's rays strike directly -231/2 degree S here). In Figure 2-6. how many latitude degrees separate the person at 40 degree N and the place receiving direct solar rays? What is the date of the example? Notice that the zenith angle plus the solar elevation angle sum to 90 degree. Solar elevation always equals 90 degree minus the zenith angle What is the solar elevation angle in Figure 2-6?Explanation / Answer
2.Since Zenith angle= latitude of interest- solar declination
Latitude of interest=40 degree N
Solar declination=-231/2 degree S
Therefore zenith angle=40- 23/12
=16.5
Since the zenith angle is equal to the latitude separating the person at 40 degree latitude and the place recieving direct sun light. Therefore the value of this angle is 16.5 degree.
Now, declination angle= sin-1 sin(23.5 degree) sin 360/365(d-81)
where d= no of days=??
-231/2=sin-1sin(23.5 degree)sin 360/365( d-81)
-23/12=sin-1(0.398)sin0.98(d-81)
-231/2=sin-1(0.398)(0.017)(d-81)
-231/2=sin-1(0.00676)(d-81)
-231/2=0.387(d-81)
(231/2)/(0.387)=d-81
60.7=d-81
d=60.7+81
=141.7
=142
Therefore 142 will be either 22th or 23 th of May starting d=1 as January 1st.
3.Solar elevation angle= 90-zenith angle
=90-19.5
=73.5 degree
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