Chapter 13, Problem 1LR

Summary Introduction

The percentage of total incoming solar radiation that gets concentrated on each of the segments marked as 0°-30°N, 30°-60°N, 60°-90°N latitude.

Introduction:

The length of the line X-Y represents that 100% of the sun rays are concentrated by the Northern Hemisphere of the Earth.

Explanation of Solution

The width of the incoming sun rays between 0° and 30°N latitude can be calculated as:

$\begin{array}{l}\text{x=3}\text{.8cm}\left(\frac{\text{10mm}}{\text{1cm}}\right)\\ =\mathrm{38mm}\end{array}$

The percentage of the total amount of sun rays between 0° and 30°N latitude is:

$\begin{array}{l}\text{x\%=}\left(\frac{\text{38mm}}{\text{77mm}}\right)\text{100}\\ =\text{49}\text{.35\%}\end{array}$

The width of the incoming sun rays between 30° and 60°N latitude can be calculated as:

$\begin{array}{l}\text{x=2}\text{.8cm}\left(\frac{\text{10mm}}{\text{1cm}}\right)\\ =\mathrm{28mm}\end{array}$

The percentage of the total amount of sun rays between 30° and 60°N latitude is:

$\begin{array}{l}\text{x\%=}\left(\frac{\text{28mm}}{\text{77mm}}\right)\text{100}\\ =36.\text{36\%}\end{array}$

The width of the incoming sun rays between 60° and 90°N latitude can be calculated as:

$\begin{array}{l}\text{x=1}\text{.1cm}\left(\frac{\text{10mm}}{\text{1cm}}\right)\\ =\mathrm{11mm}\end{array}$

The percentage of the total amount of sun rays between 60° and 90°N latitude is:

$\begin{array}{l}\text{x\%=}\left(\frac{\text{11mm}}{\text{77mm}}\right)\text{100}\\ =14.\text{29\%}\end{array}$