La bibliothèque d’Eratosthène

23 septembre

dimanche 23 septembre 2007 par perbosc

Lafrançaise, Auckland, Pachuca


Photo prise par Laure (5°1), chez elle, le dimanche de l’équinoxe d’automne.

 Auckland , New Zealand

  • Date : 23/09/2007
  • Shadow/Ombre : 78,3cm
  • Angle : 38°
  • Nous sommes une famille d’accueil de l’école, à Auckland, Nouvelle-Zélande. Nous sommes en Année 6, qui est équivalent à la 6 e année USA. Nous commençons cette expérience avec grand plaisir. Nous sommes impatients de réaliser les activités du midi solaire. Notre position est la suivante : Latitude : 36 ° 52’03 "Sud Longitude : 174 ° 48’12 "Est Nous avons trouvé cela sur Google Earth. Nous sommes ici au printemps, le soleil brille tous les jours. Espérons que ce sera le cas pour l’équinoxe !

     Pachuca, México

    lat : 20°07’ N long : 99°44’ W

  • Date : 23/09/2007
  • Angle : 28°18’
  •  Greenfield Park (CANADA)

    St. Jude School : Final Report

    Our school is located in a suburb of Montreal, Canada, at 45:29N (latitude) and 73:29W (longitude). We are 28 students in grade 5(class5IA). Our teacher, Mrs. Mirza introduced this project to us in September. She explained to us how Eratosthenes performed a simple experiment 2200 years ago to measure the circumference of the Earth. His calculation is still considered accurate today by scientists.

    We went on the Noonday website and did some research. At first, the whole idea appeared quite complicated to us. Most of us had trouble understanding some ideas and how they were going to help us determine the circumference of the Earth. But as we got more involved, the process started to become clear.

    We carried out the shadow measurements on September 21 st 2007, which was as close as we could get to the Autumn Equinox (September 23 rd). The shadow measurements (99cm) at high local noon time (12:48pm) helped us determine our sun angle which was 44 degrees.

    The next step was to choose a partner city whose sun angle could help us find the central angle. We decided to select Abba’s Orchard in Philippines, as it is far away. Their sun angle was 8.4 degrees. The difference between the two became our central angle, that is, 35.6 degrees.

    Now Mrs. Mirza showed us how the central angle could be compared to a slice in a big circle. We could then understand that the arc of the central angle represented the distance between the two cities. Once we knew the North/South distance between us and Abba’s Orchard, by subtracting the 2 latitudes, we could then multiply the arc’s length with the number of slices in a circle. These are some of our calculations :

    No. of slices= 360°divided by 35.6 degrees=10.1

    N/S distance= 4 116.25 km

    Circumference of the Earth = 4116.25x 10.1 = 41, 574.12 km

    Conclusions : We learned a great deal from this project. We now know how knowledge of angles helps us in real life, how the circumference is calculated and much more. Before doing this project we didn’t know a lot about latitude and longitude and what these lines help us find on the globe.

    All of us are very proud of our learning. We can see how Math, Science and Technology work together in any scientific study.

    Students of Class 5IA

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