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Eratosthenes earth radius formula

WebSome formulas you’ll need (r = radius of circle / sphere) Circumference of a Circle: Volume of a Sphere: Question 1: What is the radius of the Earth? Use Eratosthenes’ estimate for the circumference of the Earth to find its … WebThe first person to determine the size of Earth was Eratosthenes of Cyrene, who produced a surprisingly good measurement using a simple scheme that combined geometrical calculations with physical observations. Eratosthenes was born around 276 B.C., which is now Shahhat, Libya. ... What is the formula of Earth? ... where R is the radius of Earth ...

How Eratosthenes measured the radius of Earth - Medium

WebThe Radius of the Earth . This is relatively simple to do, as shown in the figures below. ... Historically this was done by Eratosthenes using a known location where the sun was directly overhead and cast no shadow and another location where the shadow at that same time was approximately 7 degrees. Thus the angular distance between these two ... WebSep 7, 2024 · In 200 B.C. Eratosthenes estimated Earth’s circumference at about 46,250 kilometers (28,735 miles). Today we know our planet's circumference is roughly 40,000 kilometers (24,850 miles). Not bad... prof fleming https://beyondwordswellness.com

Who first measured the distance to the Moon? How was it done?

WebMay 31, 2024 · In this way, with a simple rule of three he could calculate the length of the circumference of the Earth. If the angle of incidence gives rise to a length of an arc of circumference equal to the distance between Alexandria and Siena, then the total length will correspond to 360 degrees (the full circumference). WebSep 14, 2024 · Exactly how Eratosthenes calculated the radius of the Earth has been lost. What is presently taught as his method is a simplified version described by Cleomedes. It is unlikely that Eratosthenes assumed the Sun was infinitely distant, since he apparently also estimated the distance to the Sun himself. WebEratosthenes of Cyrene (/ ɛr ə ˈ t ɒ s θ ə n iː z /; Greek: Ἐρατοσθένης [eratostʰénɛːs]; c. 276 BC – c. 195/194 BC) was a Greek polymath: a mathematician, geographer, poet, astronomer, and music theorist.He … remington 783 rifle review

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Eratosthenes earth radius formula

Measuring Shadows to Calculate the Size of Earth NSTA

http://homework.uoregon.edu/pub/emj/121/lectures/eratosthenes.html WebFor measuring the radius of the earth compute the circumference of the earth. Do this by taking the example of Eratosthenes and find the distance and angle between two …

Eratosthenes earth radius formula

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WebMar 26, 2016 · Geometry For Dummies. You can figure out the earth's circumference using a geometric formula that's over 2,000 years old! Contrary to popular belief, Christopher … WebThis video shows how Eratosthenes determined the approximate radius of the Earth. The data available were the angle of the shadow of the Sun in Alexandria, ...

WebDec 27, 2024 · Eratosthenes hired a man to pace the distance between the two cities and learned they were 5,000 stadia apart, which is about 800 … WebDec 10, 2016 · So, if one would know the distance between Syene and Alexandria, s/he could calculate the circumference of the Earth. 360/7 is close to 1/50th of a circle, so Eratosthenes concluded that the Earth’s …

WebFeb 3, 2024 · So using Eratosthenes own estimate for the circumference of the Earth, and the equation above rearranged with basic algebra to solve for radius ( r ), we get: Once again, depending on the length of the stade … WebJune, ca. 240 B.C. Eratosthenes Measures the Earth. By around 500 B.C., most ancient Greeks believed that Earth was round, not flat. But they had no idea how big the planet is until about 240 B.C., when Eratosthenes …

WebEratosthenes then divided 360° by 7° 12' and determined that 7° 12' was 1/50th of a circle. Now all he had to do was find the distance from Syene to Alexandria and multiply it by 50 …

Webr = radius of earth s = distance of arc θ = central angle Then to find the circumference of the earth use the below formula: c = 2 π r Given s = 500 miles θ = 7. 2 ° Step 2. Finding the radius of earth The central angle θ is: θ = 7. 2 ° Now convert it into radian by multiplying with π 180, we get θ = 7.2 ∘ × π 180 = 7.2 ∘ 180 r a d i a n s prof fle éducation nationaleWebEratosthenes used a simple formula that relates the proportionality of the relation of the distance between two places on the meridian (d) and their difference in latitude (α) to the relation between the perimeter (P) and the angle of the hole meridian (360º) Earth's perimeter can therefore be calculated by the formula remington 783 synthetic for saleWebIf we accept the account of Strabo that Eratosthenes measured the circumference of the earth as 252,000 stadia, the circumference would be 24,662 miles, and the polar … prof flavio moroniWebEratosthenes' Model. Place the model so that one of the pillars is pointed at the light source and gives no shadow. Bend the cardboard and show that the other pillar produces a … prof fleck bad abbachhttp://www.geo.hunter.cuny.edu/~jochen/gtech201/lectures/lec6concepts/Datums/Determining%20the%20earths%20size.htm prof fletcherWebA tangent is a line that touches a circle at exactly one point. This is called the point of tangency. Continue An arc is a section of the circumference of a circle. Continue A sector is a part of the interior of a circle, bounded by … prof flesch soestWebOct 31, 2024 · Eratosthenes method was very simple; he measured the length of a shadow from a vertical stick of a known height in two cities on the same day. The ratio between … remington 783 tactical bolt knob