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r Please enter the latitude in decimal degrees, here you can convert coordinates. example R = earthRadius (lengthUnit) returns the mean radius of the Earth using the length unit specified by lengthUnit. This section describes the common ways. Answered: the radious of earth is 6378.1 km, | bartleby Length in km of 1 of latitude = always 111.32 km Length in km of 1 of longitude = 40075 km * cos ( latitude ) / 360 Share Follow edited Jul 21, 2022 at 14:03 answered Sep 16, 2016 at 21:29 It is possible to combine the principal radii of curvature above in a non-directional manner. A: . Estimates of the accuracy of Eratosthenes's measurement range from 0.5% to 17%. Video advice: How Eratosthenes discovered the radius of the earth. If you wish to convert a small difference of latitude or longitude into the linear distance on the surface of the earth, then the spherical earth equation would be, = = dE R cos d dN R d , . This answer is: Strictly speaking, spheres are the only solids to have radii, but broader uses of the term radius are common in many fields, including those dealing with models of Earth. Ans. How did early mathematicians determine the radius of the earth? The mathematical expressions above apply over the surface of the ellipsoid. nasa.gov. The structure of the Earths upper mantle can be derived from seismic waves. Its mean density is 1410 kg/m 3 or 0.255 times the mean density of Earth. Scholars have interpreted Aristotle's figure to be anywhere from highly accurate[20] to almost double the true value. Rather, elevation above or below sea level is useful. , over the surface of the ellipsoid. Answered: A space traveler weighs 640 N on Earth. | bartleby In a geocentric ellipsoid, the center of the ellipsoid coincides with some computed center of Earth, and best models the earth as a whole. Since he knew the distance between the locations, he was able to determine the circumference of the earth, and therefore the diameter and radius as well. Earth Radius by Latitude Calculator Calculates radius and diameter of the Earth for a given latitude. As such, they are topographical geocentric distances, Rt, which depends not only on latitude. The following radii are derived from the World Geodetic System 1984 (WGS-84) reference ellipsoid. Online calculator: Earth Radius by Latitude (WGS 84) - PLANETCALC 2023 Leaf Group Ltd. / Leaf Group Media, All Rights Reserved. | 137 km (3963. [d] It is also common to refer to any mean radius of a spherical model as "the radius of the earth". 371 106 m), the bottom unit of length within the Worldwide System of Units (SI). Karren Doll Tolliver holds a Bachelor of English from Mississippi University for Women and a CELTA teaching certificate from Akcent Language School in Prague. Compute the circumference of the Earth using the distance and angle measurements you have. 752 km (3949. E N How do you find the radius with mass and gravity? Radio Line of Sight Distance Calculator Electrical, RF and = where e2 = a2 b2/a2 and A is the surface area of the spheroid. So, radius of nth orbit is rn=rn2, as Z=1 for H atom. Her latest book, "A Travel for Taste: Germany," was published in 2015. Eratosthenes, the ancient Greek scholar is called the father of geography. Using the curvature of the Earth relative to the parallel light from the sun, we can observe shadows at different locations on the surface of the Earth to find the Earths radius. Then convert km - m. 1 km = 1000 m. 12 756 km = ? Enchanted Learning. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. Using the Gauss-Bonnet theorem, this gives, Another spherical model is defined by the Earth's volumetric radius, which is the radius of a sphere of volume equal to the ellipsoid. What you need is to convert a meter into degrees since long/lat is a polar coordinate system.With the circumference of Earth being 40,075 km, you get 0.00000898315 deg/m which you need to multiply with the size of the object (1 m) to get the degrees which you have to add to your coordinate to get a point which intersects with the radius of . [4], The variation in density and crustal thickness causes gravity to vary across the surface and in time, so that the mean sea level differs from the ellipsoid. The current best estimate for the mass of the Earth is M = 5.97221024 kg, with a standard uncertainty of 61020 kg (relative uncertainty 104). 6,371 kmEarth / RadiusAccording to data taken by 183 high-school classes participating in a World Year of Physics project, "Measure the Earth with Shadows", the radius of Earth is 6563 km, compared to the accepted value for the mean radius of 6371 km. 1 Earths equatorial radius637816 m1 Earths equatorial radius6378160 m2 Earths equatorial radius12756320 m3 Earths equatorial radius19134480 m5 Earths equatorial radius31890800 m10 Earths equatorial radius63781600 m20 Earths equatorial radius127563200 m50 Earths equatorial radius318908000 m100 Earths equatorial radius637816000 m1000 Earths equatorial radius6378160000 mHow to Convert Earths Equatorial Radius to Meter1 Earths equatorial radius = 6378160 m1 m = 1. Its "up" direction there is shown with a black segment: it is, by definition, perpendicular to the ellipse at that point. Record the measurements. It does not store any personal data. where may be the angular frequency, G may be the gravitational constant, and M may be the mass from the planet. .[10]. The physical radius, the distance from the center of the earth to the ellipsoid is the least used. Also see the Table of Physical Units and Constants. Now, lets plug in some numbers. Also, explore tools to convert Earths equatorial radius or meter to other length units or learn more about length conversions. There are two principal radii of curvature: along the meridional and prime-vertical normal sections. PDF Radius of the Earth - Radii Used in Geodesy - Naval Postgraduate School Because these measurements are not done with more sensitive equipment, the radius calculation will be only approximate. What is the radius of the parallel of latitude? [24] Claudius Ptolemy around 150AD gave empirical evidence supporting a spherical Earth,[25] but he accepted the lesser value attributed to Posidonius. George Jackson is the founder and lead contributor of Physics Network, a popular blog dedicated to exploring the fascinating world of physics. What is the Radius and Diameter of a Circle? , Does Wittenberg have a strong Pre-Health professions program? The geoid height variation is under 110m (360ft) on Earth. Also a photographer, she records adventures by camera, combining photos with journals in her blogs. Equatorial radius a (called semi-major axis), and polar radius b (called semi-minor axis); a and eccentricity e; a and flattening f. WGS 84 defines ellipsoid parameters as: Semi-major axis a = 6378137.0 meters. How big is Earth? | Space 7564mi). r . So escape velocity = . Record the distance between your location and your partners location. Analytical cookies are used to understand how visitors interact with the website. Now that the radius of orbit has been found, the height above the earth can be calculated. [Mass of the earth is 6 x 1024 kg and radius of the earth is 6.4 x 106 m]. Radius of the earth in meters - AssignmentGeek Regardless of the model, any radius falls between the polar minimum of about 6,357km and the equatorial maximum of about 6,378km (3,950 to 3,963mi). r Who first calculated the radius of the earth? How to Calculate the Force of Gravity on the Earth's Surface - dummies The planet's rotation causes it to bulge at the equator. ] Performance cookies are used to understand and analyze the key performance indexes of the website which helps in delivering a better user experience for the visitors. to have an oblate spheroid, the curvatures are. Compute the radius of the Earth using the formula C (circumference) = 2 x pi x r (radius). Yes! (b) Repeat part (a) with the sun in place of the earth. Go farther. Use a scientific calculator. r . What is the biggest problem with wind turbines? Answer (1 of 3): First of all let us consider the shape of the earth to be a sphere. View this answer. After completing his doctoral studies, he decided to start "ScienceOxygen" as a way to share his passion for science with others and to provide an accessible and engaging resource for those interested in learning about the latest scientific discoveries. There are two types of crust; oceanic and continental. Part 4: Computation . When we rearrange the equation and plug all the numbers in, we find that the mass of the Earth is 5.96 1024 kg. The acceleration due to gravity at the surface of Earthis represented by the letter g. However, Earth is not quite a sphere. 5.98 10 24 kg. The radius of orbit indicates the distance that the satellite is from the center of the earth. R Note that the dimensions of h, R and d must be . Solution Verified How fast is the earth moving? - Scientific American Because the Earth isnt perfectly spherical but instead an oblate spheroid, our planet radius is larger in the equator than in the rods. 6,371,000 metersThe value, symbolized rearth, is equal to approximately 6,371,000 meters (6.371 x 106 m). for the nominal polar Jupiter radius. How do you find the radius of a planet in physics? which differs from the exact result by less than 1m (4105in); the mean of the two axes. (C = 2r) With this information, Eratosthenes inferred that the Earths radius was 6366 km. You must measure the angle of shadows in the two locations at the exact same time on the exact same day or the calculations will be erroneous. Added 2022-02-06 15:04:59 subject Physics by rsa072001. to the plane tangent at {\displaystyle {\mathcal {R}}_{\mathrm {pJ} }^{\mathrm {N} }} What is the radius of the earth in meters in scientific notation? {\displaystyle e} Examples collapse all Earth Radius in Meters View the mean radius of the Earth using the default units, meters. [21] The first known scientific measurement and calculation of the circumference of the Earth was performed by Eratosthenes in about 240BC. 6.371 10 6 m . {\displaystyle R_{2}} The formula for the volume of a sphere is V = 4/3 r. Nowadays there are better ellipsoids when it comes to supplying a much better fit to mean ocean level compared to WGS84 ellipsoid. {\displaystyle n={\frac {N}{|N|}}} The IUGG denotes the volumetric radius as R3. Of course, no one is claiming the size of Earth has actually changed. According to data taken by 183 high-school classes participating in a World Year of Physics project, "Measure the Earth with Shadows", the radius of Earth is 6563 km, compared to the accepted value for the mean radius of 6371 km. So if you measure at 11:00am in New York, they should measure at 9:00am in Colorado because of the time difference. Earth's polar radius is 3950 miles (Diameter = 7900 miles). How do you find the radius of the earth from the circumference? These cookies track visitors across websites and collect information to provide customized ads. It is a common misconception that Terra is the internationally-recognized scientific name of the planet, but in reality Earth does not have an official international name. Gravitational attraction from the Moon or Sun can cause the Earth's surface at a given point to vary by tenths of a meter over a nearly 12-hour period (see Earth tide). K r = 39350/ 6.28 = 6267 kilometer. to the plane tangent at What is the number in scientific notation? Physics, 22. Earth's rotation, internal density variations, and external tidal forces cause its shape to deviate systematically from a perfect sphere. What physical measurement / elevation is used to define Earths radius? The distance to the centre of the Earth has been taken as the volumetric mean radius of the Earth: 6,371km. What is the radius of Earth in exponential form? ) Therefore, the Earth radius isn't constant, but it can be calculated for every location. The cookie is used to store the user consent for the cookies in the category "Analytics". In scientific notation, the radius of the earth in meters is equal to 6.37106 meters or approximately 6.4106 meters, and 6378100 or approximately 6370000 in standard form.