site stats

Eratosthenes circumference formula

WebEratosthenes understood that if he could determine the distance between Alexandria and Syene, he would merely have to multiply that distance by 50 to find the circumference of Earth! Here's where things get a bit tricky. Eratosthenes had the distance between the two cities measured. His records show that the distance was found to be 5,000 stadia. http://www-personal.umich.edu/~copyrght/image/books/Spatial%20Synthesis/Eratosthenes/

Eratosthenes

WebSep 7, 2024 · Calculate the circumference of the Earth using this equation: Circumference = 360 x distance between your city and the equator / angle of shadow that you measured … WebFeb 28, 2011 · So if the length of the “slice” is about 2400 km and there are about 18 slices then the projected circumference is 2400 x 18 = 43,200 km which is about an 8% error since the average circumference is 40,008 kms. (more precisely, it is 2404 km times 17.7 “slices”). Extension Eratosthenes Experiment Bonus Questions ge healthcare dryer https://hidefdetail.com

5.4: Measuring the Earth with Eratosthenes - Physics …

WebEratosthenes calculated the distance between Alexandria and Syene using records involving camel caravans. The distance he used was 5000 stadia. Thus, the circumference of the Earth is 250,000 stadia, which translates to somewhat less than 25,000 miles (depending on how ancient units convert to modern units). WebApr 18, 2024 · When Eratosthenes measured the Earth's circumference, he provided 250, 000 stadia as its measure equal to about 25, 000 miles. Since the radian is a dimensionless number, the radian couldn't have been part of his original calculations. WebSep 4, 2024 · If you cut the earth in half, the earth's great circle will obviously have 360 degrees, and the circumference of that circle (i.e. the total length of its perimeter) could be divided up into equal bits of whatever length. Eratosthenes knew that the distance between Syene and Alexandria was 7.2 degrees along the surface of the earth. dcs newark

Eratosthenes: The Measurement of the Earth

Category:How Eratosthenes Calculated the Earth

Tags:Eratosthenes circumference formula

Eratosthenes circumference formula

Who Was The First Person To Accurately Measure …

WebJul 29, 2024 · He could then use simple proportions to find the Earth’s circumference—7.2 degrees is 1/50 of 360 degrees, so 800 times 50 equals 40,000 kilometers. And just like … WebApr 2, 2024 · His measurement of Earth’s circumference may have varied by 0.5 to 17 percent from the value accepted by modern astronomers, but it was certainly in the right range. He also measured the degree of …

Eratosthenes circumference formula

Did you know?

WebDec 14, 2024 · How to find the circumference of a circle Determine the radius of a circle. Let's assume it's equal to 14 cm. Substitute this value to the formula for circumference: C = 2 * π * R = 2 * π * 14 = 87.9646 cm. … WebIn the mid-20th century we began launching satellites into space that would help us determine the exact circumference of the Earth: 40,030 km. But over 2000 ...

http://keyah.asu.edu/lessons/Eratosthenes/KM4.html WebOk that gives us circumference using that equation based on assumptions. . but where can we do a hard and fast scientific experiment and actually measure the curvature. . and can I assume that the rate would be close to. . 1 mile=8 inches ×the number of miles squared? ... Eratosthenes used this method to calculate the circumference of the ...

WebEratosthenes understood that if he could determine the distance between Alexandria and Syene, he would merely have to multiply that distance by 50 to find the circumference … WebThe circumference of the Earth around the poles is now measured at around 40,008 km. Eratosthenes result is not bad at all. Very interesting is that the measurement of the …

http://teachers.egfi-k12.org/lesson-measure-the-earths-circumference/

WebDec 10, 2016 · C = 360/7 x d (C: circumference of Earth, d: the distance between Syene and Alexandria) The distance between the cities was known from caravan travelings to be about 5,000 stadia (see notes 2). Carl … dcs new aircraftWebJan 14, 2024 · Eratosthenes correctly developed a formula for calculating the Earth’s circumference, but his estimate included multiple errors. For example, the ancient Greek unit of measuring length, “stadion”, was … ge healthcare e8350pbWebValues between 500 and about 600 feet have been suggested, putting Eratosthenes’ calculated circumference between about 24,000 miles and about 29,000 miles. The Earth is now known to measure about 24,900 … dcs networks ltdWebFeb 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 … dcs network bridge網絡串流機WebIf 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 … ge healthcare edison health servicesWebOct 22, 2024 · (C = 2πr) With this information, Eratosthenes inferred that the Earth's radius was 6366 km. Both of these values are very close to the accepted modern values for the Earth's circumference and radius, 40,070 km and 6378 km respectively, which have since been measured by orbiting spacecraft. ge healthcare edsWebNotation: Some 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 … ge healthcare ecl western blotting