In Eratosthenes case, the distance was 787 kilometers, so for him, the following relation applied: where x = the circumference of the Earth in kilometers. Geometrically, the second fundamental form gives the distance from Earth Radius by Latitude Calculator Calculates radius and diameter of the Earth for a given latitude. The cookie is used to store the user consent for the cookies in the category "Analytics". At the poles, = 90o and the length = 110.95 km, nearly. Although the precise strength of Earth's gravity varies depending on location, the nominal "average" value at the Earth's surface, known as standard gravity is, by definition, 9.80665 m/s 2 (32.1737 ft/s 2 ). R How to Calculate the Force of Gravity on the Earth's Surface - dummies His highly influential work, the Almagest,[26] left no doubt among medieval scholars that Earth is spherical, but they were wrong about its size. , Karren Doll Tolliver holds a Bachelor of English from Mississippi University for Women and a CELTA teaching certificate from Akcent Language School in Prague. Eratosthenes was born around 276 B.C., which is now Shahhat, Libya. Do NOT follow this link or you will be banned from the site! See answer. What does EARTH RADIUS mean? r {\displaystyle p=N\cos(\varphi )} What is the radius of the earth in physics? [Updated!] 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 . ( This is the outside layer of the earth and is made of solid rock, mostly basalt and granite. T Yes! The equatorial radius of Earth is actually 6,378.1 kilometers. The first and second radii of curvature correspond, respectively, to the Earth's meridional and prime-vertical radii of curvature. The corresponding radius of curvature depends on the location and direction of measurement from that point. The standard English name of the planet, including in science, is Earth. Based on data taken by 183 high-school classes taking part in a global Year of Physics project, Appraise the Earth with Shadows, the radius of Earth is 6563 km, when compared to recognized value for that mean radius of 6371 km. , What happens to the dry ice at room pressure and temperature? This cookie is set by GDPR Cookie Consent plugin. This cookie is set by GDPR Cookie Consent plugin. Measure the angle of the shadow of your meter stick when the sun is overhead and the shadow is smallest, often known as local noon (when the sun is exactly north-south in the sky at its highest point). View a sample solution. What is the earths radius in meters?Earth radiusSI base unit6.3781106 mMetric system6,357 to 6,378 kmEnglish units3,950 to 3,963 miEarth radiusSI base unit6.3781106 mMetric system6,357 to 6,378 kmEnglish units3,950 to 3,963 miWhat is the radius of the earth?According to data taken by 183 high-school classes participating in a World Year of Physics project, "Measure the Earth The Earth's polar radius of curvature (either meridional or prime-vertical) is: The principal curvatures are the roots of Equation (125) in:[11]. Each of the models in common use involve some notion of the geometric radius. NASA Telescope Takes 12-Year Time-Lapse Movie of Entire Sky. {\displaystyle r+dr} The magnitude of the gravitational force between earth and an object is given by the formula. Hence the required distance is. It was there that he first had the idea to create a resource for physics enthusiasts of all levels to learn about and discuss the latest developments in the field. The cookie is used to store the user consent for the cookies in the category "Analytics". where e2 = a2 b2/a2 and A is the surface area of the spheroid. Its "up" direction there is shown with a black segment: it is, by definition, perpendicular to the ellipse at that point. Keplers Third law can be used to determine the orbital radius of the planet if the mass of the orbiting star is known (R3=T2Mstar/Msun, the radius is in AU and the period is in earth years). 1o = 180 radian. About Earth radiusThe Earth radius, or even the radius of the world, may be the distance from the middle of our planet towards the surface. What is the radius of the earth? Compute the radius of the Earth using the formula C (circumference) = 2 x pi x r (radius). This cookie is set by GDPR Cookie Consent plugin. What is the real radius of the earth? As satellite remote sensing and especially the Global Positioning System gained importance, true global models were developed which, while not as accurate for regional work, best approximate the Earth as a whole. The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. Like a torus, the curvature at a point will be greatest (tightest) in one direction (northsouth on Earth) and smallest (flattest) perpendicularly (eastwest). 71% of Earths surface is water. How cold is it on moon? det Measuring the Circumference of the Earth. These values correspond to the zero Earth tide convention. The radius R of a nucleus of mass number A can be estimated by the formula R = (1.3 1015)A 1/3 m. The earth rotates once every 23 hours, 56 minutes and 4.09053 seconds, called the sidereal period, and its circumference is roughly 40,075 kilometers. This website uses cookies to improve your experience while you navigate through the website. The polar circumference equals Cp=4mp, four times the quarter meridian mp=aE(e), where the polar radius b enters via the eccentricity, e=(1b2/a2)0.5; see Ellipse#Circumference for details. The one exception: The flattening in the original definition of WGS84 was a calculated value, based on the Earths second dynamic form factor as determined from satellite orbits ($\bar C_{2,0}$ in WGS84, $J_2$ in GRS80). A closed-form solution exists for a spheroid:[14]. In simple words, radius refers to that line, which originates from any point of the circle and touches the centre point the circle. Structure and radius of electron - Alternative Physics This topographical average is 6,371.230km (3,958.899mi) with uncertainty of 10m (33ft).[16]. You can do this, too, by using his method. For best results, the minimum radius of the geofence should be set between 100 - 150 meters. This video will show you how Eratosthenes calculated the circumference and radius of the Earth in 240 BC!! These cookies ensure basic functionalities and security features of the website, anonymously. r = m v 2 F c . How did Aristotle know the earth was round? Its the only planet with life. There are two types of crust; oceanic and continental. det What is the radius of the Moon around the Earth? What is the radius of Moon? - Heimduo Earths radius is usually given as 6378137 meters (equatorial radius), its flattening is defined as 1/298.257223 (WGS84), and thus its polar radius is calculated as 6356752 meters.However, the av. earthRadius 903 mi) at the poles and 6371. Mean radius of planet Earth - MATLAB earthRadius - MathWorks What is the radius of Earth in meters? | Homework.Study.com arrow_forward. J It is the only planet in our solar system that sustains life and it is the planet that we can call our own. Refer to the WGS-84 ellipsoid if a more precise value for its polar radius is needed. + Venus is covered by a thick, rapidly spinning atmosphere, creating a scorched world with temperatures hot enough to melt lead and a surface pressure 90 times that of Earth. However, Earth is not quite a sphere. r where. => When indoor location is available, the accuracy range can be as small as 5 meters. As , EL NORTE is a melodrama divided into three acts. How did we determine the size of the Earth? 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. Eratosthenes estimated Earth's circumference at about 46,250 kilometers (28,735 miles). What is velocity of bullet in the barrel? Because the Earth isnt perfectly spherical but instead an oblate spheroid, our planet radius is larger in the equator than in the rods. w which differs from the exact result by less than 1m (4105in); the mean of the two axes. . [22] For both Aristotle and Eratosthenes, uncertainty in the accuracy of their estimates is due to modern uncertainty over which stadion length they meant. What is the fluid speed in a fire hose with a 9.00 cm diameter carrying 80.0 l of water per second? z How do you compute the earth's radius at a given geodetic latitude? He noticed that the difference in the angle of a shadow in his location at Syene, which is present-day Aswan in Egypt, and that of a shadow in Alexandria was about 7.2 degrees. The Magellan expedition (15191522), which was the first circumnavigation of the World, soundly demonstrated the sphericity of the Earth,[28] and affirmed the original measurement of 40,000km (25,000mi) by Eratosthenes. The orbit is not a perfect circle. Mass (10 24 kg) 5.9722 Volume (10 10 km 3) 108.321 Equatorial radius (km) 6378.137 Polar radius (km) 6356.752 Volumetric mean radius (km) 6371.000 Core radius (km) 3485 Ellipticity (Flattening) 0.003353 Mean density (kg/m 3) 5513 Surface gravity (m/s 2) 9.798 Surface acceleration (m/s 2) 9.780 Escape velocity (km/s) 11.186 GM (x 10 6 km 3 /s 2) 4.23 x 10 7 m - 6.37 x 10 6 m . Thus, the radius of the earth in meters in scientific notation is 6.371106m. a) The radius of the earth is 4000 miles. Earth's rotation, internal density variations, and external tidal forces cause its shape to deviate systematically from a perfect sphere. Answer (1 of 3): First of all let us consider the shape of the earth to be a sphere. Convert the Earth-Sun distance of 93,000,000 miles into. The value for the polar radius in this section has been rounded to the nearest 0.1m, which is expected to be adequate for most uses. With , The cookies is used to store the user consent for the cookies in the category "Necessary". Since the earth's surface is 6.37 x 10 6 m from its center (that's the radius of the earth), the satellite must be a height of. The mathematical expressions above apply over the top of ellipsoid. 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 mean density is 1410 kg/m 3 or 0.255 times the mean density of Earth. The bulge have been decreasing, consider 1998 the bulge has elevated, possibly because of redistribution of sea mass via currents. B Radius of planet R = 2 x radius of earth = 2 x 6.4 x 10 6 m. G = gravitational constant = 6.67 x 10-11 N m 2 /kg 2. How to Find the Radius of the Earth | Sciencing Around 100BC, Posidonius of Apamea recomputed Earth's radius, and found it to be close to that by Eratosthenes,[23] but later Strabo incorrectly attributed him a value about 3/4 of the actual size. When it is measured around the equator, it is40,075 km (approximately, 24,901 miles), whereas, if it measured from the north pole to the south pole it is40,008 km (approximately, 24,860 miles). The other two are the radii of curvature. [29] To settle the matter, the French Geodesic Mission (17351739) measured one degree of latitude at two locations, one near the Arctic Circle and the other near the equator. Area of sphere= 4pier 2. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". According to Newtons second law of motion, the acceleration of an object equals the net force acting on it divided by its mass, or a = F m . [ A sphere being a gross approximation of the spheroid, which itself is an approximation of the geoid, units are given here in kilometers rather than the millimeter resolution appropriate for geodesy.