For most observers on Earth, the sun rises in the eastern

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632 CHAPTER 25: EARTH, SUN, AND SEASONS WHAT IS THE SUN S APPARENT PATH ACROSS THE SKY? For most observers on Earth, the sun rises in the eastern part of the sky. The sun reaches its greatest angular altitude at solar noon. It then moves down to dip below the western horizon. This apparent motion of the sun is the basis for the earliest clocks: sun dials. Figure 25-2 shows a very large sundial. Local solar noon is the time at which the sun reaches its highest point in the sky. For mid-latitude locations in the ern Hemisphere, such as New York State, the sun at solar noon reaches its highest point when it is due. The noon sun is never directly overhead in New York State. In fact, the sun is never at the zenith except for observers located between the Tropic of Capricorn (23.5 S) and the Tropic of Cancer (23.5 N). Figure 25-2 Solar time can be measured with a sundial. The long arm of the sundial (the gnomon) casts a shadow on the dial s horizontal face. The movement of the shadow is used to measure the passage of time. Solar noon occurs when the shadow points exactly north. This is the largest sundial in the United States, located near Phoenix, Arizona.

HOW DOES THE SUN S PATH CHANGE WITH THE SEASONS? 633 ACTIVITY 25-1 THE LENGTH OF A SHADOW Select a place where buildings or trees do not block the sun for an extended period. During the course of one day, take measurements of the changes in length of the shadow of a vertical object 1-meter tall (1 meter 39.37 inches). Use these measurements to draw a graph of the change in length of the shadow from sunrise to sunset. Measurements must be made on a level surface. Think about the best times to take measurements and which values of shadow length you can determine by logical thinking. Your teacher will collect your data table and your graph. According to your graph, what was the clock time of solar noon? As an extended activity, make the changing direction of the shadow part of your data and your graph. ACTIVITY 25-2 CONSTRUCTING A SUNDIAL A number of sites on the Internet as well as books contain plans for making a simple paper or cardboard sundial. All individuals or groups of students can make the same style, or each can select a different design to construct. Sundials must be positioned carefully in an open area on a level surface with a north south alignment. You can check your sundial by comparing its reading with a clock or watch. Solar time and clock time will differ depending on your longitude even if you account for daylight savings time. HOW DOES THE SUN S PATH CHANGE WITH THE SEASONS? The previous section did not specify the exact direction of sunrise and sunset, nor did you learn how high the noon sun reaches in New York State. These observations depend upon

634 CHAPTER 25: EARTH, SUN, AND SEASONS the time of year. In fact, the seasons can be defined based on observations of the path of the sun through the sky. For observers with a level horizon, such as anyone at sea, the sun rises exactly (due) east and sets due west on just two days of the year. People who live on land would also observe this if hills, trees, and buildings did not block a level line of sight to the horizon. These two days of the year are the equinoxes. Equinox can be translated as equal night. On these days, daylight and night are approximately equal in length: about 12 hours of daylight and 12 hours of night. It is useful to remember that the complete apparent path of the sun is a circle. Part of this circle is above the horizon and part is below the horizon. The total angular distance around a circle is 360. Furthermore, the apparent motion of the sun along that circle is constant. The rate at which the sun appears to move is determined by dividing 360 by 24 hours, which equals 15 per hour. No matter when or where you observe the sun, it always appears to move at a rate of 15 per hour. However, the length of daylight changes. This is because the portion of the circle that is above or below the horizon changes on a yearly cycle. Spring Consider the changing path of the sun for an observer facing south at 42 north latitude in New York State. March 21 is the spring equinox as shown in Figure 25-3. (This is also called the vernal equinox.) The sun rises due east at 6 A.M. It moves to the observer s right as it climbs to a noon altitude angle of 48. In the afternoon, the sun continues to the right, setting due west at 6 P.M. Of the sun s circular path of 360, half is in the sky and half below the horizon, so there are 12 hours of daylight. Summer The longest period of daylight in New York State occurs 3 months later, usually on June 21, which is called the summer solstice. On that date, the sun rises in the northeast at

HOW DOES THE SUN S PATH CHANGE WITH THE SEASONS? 635 Figure 25-3 In New York State on the spring equinox, the sun rises due east at about 6 A.M. and sets due west at about 6 P.M., giving 12 hours of daylight. The sun reaches its highest point at solar noon when it is due south, 48 above the southern horizon. Noon sun at the equinoxes (Mar. & Sept.) 48 in New York State Zenith Observer's north-south about 4:30 A.M. standard time (5:30 A.M. daylight savings time) and sets at about 7:30 P.M. standard time (8:30 P.M.daylight savings time). (See Figure 25-4.) New York has about 15 hours of daylight at the summer solstice because the sun rises well into the northeast and sets in the northwest. Therefore, more than 60 percent of the sun s circular path is above the horizon. This is also when the noon sun is highest in the sky in New York State 71.5 above the horizon (but still 18.5 below the zenith). Insolation is strongest at this time of the year. The season of summer begins on the summer solstice. Noon sun at summer solstice (June) Equinox Path 23 1 2 Zenith Observer's north-south Figure 25-4 In New York State on the summer solstice, the sun rises in the northeast at about 4:30 A.M. (standard time) and sets in the northwest about 7:30 P.M., providing 15 hours of daylight. The sun reaches its highest point at noon when it is nearly 72 above the southern horizon. The sun s path in March is shown by a dotted line.

636 CHAPTER 25: EARTH, SUN, AND SEASONS Autumn The autumnal equinox occurs about September 22. On that day sunrise occurs at 6 A.M. due east, and sunset at 6 P.M. due west. The sun follows the same path it took 6 months earlier at the spring equinox. Figure 25-3 on page 635 is appropriate for both equinoxes. Because there are not exactly 365 days in a year, periodic adjustments must be made in our calendars. Therefore, the dates of the beginning of the seasons vary from year to year. Winter The first day of winter occurs each year between December 21 and December 23, which is called the winter solstice. On that day, the sun rises in the southeast a shown in Figure 25-5. Its path through the sky is relatively short and the sun sets in the southwest. Less than 40 percent of the sun s circular path is above the horizon. does not occur until about 7:30 A.M., and the sun sets at about 4:30 P.M. The length of daylight at 42 north on the winter solstice is about 9 hours. The maximum altitude of the sun, at solar noon, is only about 24.5 above the southern horizon. The sun is never very high in the sky, even at noon.this is why solar energy is weakest at this time of year. This pattern of change is the same for Noon sun at winter Summer Zenith solstice solstice (Dec.) Equinoxes 1 2 23 Observer's north-south Figure 25-5 In New York State on the winter solstice, the sun rises in the southeast at about 7:30 A.M., and sets in the southwest about 4:30 P.M., giving just 9 hours of daylight. The sun reaches its highest point at noon when it is 24.5 above the southern horizon. Dotted lines show the sun path at the equinoxes and the summer solstice.