what is the radius of the earth in meters

The first and second radii of curvature correspond, respectively, to the Earth's meridional and prime-vertical radii of curvature. [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 Radius of the Earth? At Baltimore, = 39.48o and the length is 111.16 km, nearly. A cylinder has a radius of 8 meters. example R = earthRadius (lengthUnit) returns the mean radius of the Earth using the length unit specified by lengthUnit. When identifying the position of an observable location, the use of more precise values for WGS-84 radii may not yield a corresponding improvement in accuracy. 1. Sun: radius = 696,000 kilometers, 100 times larger. Earth's volume is estimated at 1 trillion cubic kilometers. which is different from the precise result by under 1m (4105in) the mean of these two axes. By 1490, Christopher Colombus believed that traveling 3,000 miles west from the west coast of the Iberian peninsula would let him reach the eastern coasts of Asia. After completing his degree, George worked as a postdoctoral researcher at CERN, the world's largest particle physics laboratory. Go farther. Geodetic ellipsoids are better suited to regional idiosyncrasies of the geoid. The circumference of the world may be the distance measured around it. What is the radius of Earth in meters? Copyright 2022 - Science-Atlas.com. [ The mathematical expressions above apply over the surface of the ellipsoid. ] {\displaystyle {\frac {\partial r}{\partial \varphi }}} This website uses cookies to improve your experience while you navigate through the website. Where K is the Gaussian curvature, The orbit of Earth ranges from 1.47 to 1.52 x 10 11 meters from the Sun. {\displaystyle p=N\cos(\varphi )} A Acceleration due to gravity is a vector, which means it has both a magnitudeand a direction. The various radii derived here use the notation and dimensions noted above for the Earth as derived from the WGS-84 ellipsoid;[6] namely. Putting in the numbers, you have Dividing both sides by m1 gives you the acceleration due to gravity: Newton's law of gravitation gives you the acceleration due to gravity near the surface of the Earth: 9.8 meters/second 2. So escape velocity = . p How far is the center of the Earth in KM? The majority of the data posted was remarkably good, stated Jennifer Fischer, the APS project leader. 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. The first, titled Arturo Xuncax, is set in an Indian village in Guatemala. 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. a) The radius of the earth is 4000 miles. What is the real radius of the earth? Sometimes more are aboard the station during a crew handover. These cookies ensure basic functionalities and security features of the website, anonymously. This cookie is set by GDPR Cookie Consent plugin. These values correspond to the zero Earth tide convention. p E The Earth's mean radius of curvature at latitude is:[12]:97. 2a : the bone on the thumb side of the human forearm also : a corresponding part of vertebrates above fishes. As an example, we will use Eratosthenes situation. Find the level of Earth in cubic meters. The following equation estimates the ellipsoid radius ( r s ) using flattening ( f ) , geocentric latitude ( s ) , and equatorial radius ( R ) : r s = R 2 1 + [ 1 / ( 1 f ) 2 1 ] sin 2 s . The cookie is used to store the user consent for the cookies in the category "Analytics". 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 distance between Syene and Alexandria is 787 kilometers, Eratosthenes used the ancient Greek measurement of stadia, but his calculations use the proportionality of angles between two locations, so any system of measurement will work. 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). {\displaystyle K=\kappa _{1}\,\kappa _{2}={\frac {\det \,B}{\det \,A}}} This video explains how humans managed to measure the circumference of the earth long long ago using simple math, reasoning and assumptions. Note that the dimensions of h, R and d must be . The bulge have been decreasing, consider 1998 the bulge has elevated, possibly because of redistribution of sea mass via currents. According to NASA's Goddard Space Flight Center, Earth's radius at the equator is 3,963 miles (6,378 kilometers). Its surface gravity is 274 m/s 2 or 28.0 times that of the Earth. The cookie is used to store the user consent for the cookies in the category "Analytics". mpanderla95. to the plane tangent at He observed lunar eclipses and noticed that only a round sphere could imply a circular shadow. about 6,367.445km (3,956.547mi), can also be used. Earth Radius by Latitude Calculator Calculates radius and diameter of the Earth for a given latitude. , which is defined to be 6,378.1km (3,963.2mi). ( Image credit: Ayhan Altun) There are nearly 8 billion people (opens in new tab) living on Earth today, but our planet wasnt always so crowded. How do you find the radius of a planet in physics? Because of the Earths rapid rotation, it stretches out the planet; this results in the South pole and North pole actually being slight closer than locations opposite on the equator because the shape of the Earth is not a spheroid (not a perfect sphere). ( Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. 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). 5.98 10 24 kg. R = earthRadius returns the scalar value 6,371,000, the mean radius of the Earth in meters. 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. Earth's rotation, internal density variations, and external tidal forces cause its shape to deviate systematically from a perfect sphere. The value for the equatorial radius is defined to the nearest 0.1m in WGS-84. Around 1690, Isaac Newton and Christiaan Huygens argued that Earth was closer to an oblate spheroid than to a sphere. det It does not store any personal data. Hence, the Earth deviates from a perfect sphere by only a third of a percent, which supports the spherical model in most contexts and justifies the term "radius of the Earth". ) {\displaystyle F=f=0} The Earth is slightly oblate, so its radius in the plane of the equator is a little larger than its radius along the rotational axis. How did early mathematicians determine the radius of the earth? ) is the distance from the center of Earth to a point on or near its surface. Circumference of the Earth in Meters 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. Earths circumference is the distance around Earth. 1 When it's closest, the Moon is 225,623 miles away. (a) To what radius (in meters) would the earth have to be compressed in order for it to become a black holethe escape velocity from its surface equal to the velocity c = 3 \times 10 ^ { 8 } \mathrm { m } / \mathrm { s } c = 3108m/s of light? How do we measure the diameter of the Earth? What physical measurement / elevation is used to define Earths radius? 2 degrees. N For Eratosthenes, at midday on the summer solstice where the suns angle was directly overhead, the angle was zero. What is the formula of radius of nucleus? 371 106 meters (Earth radius 6. 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. Wittenberg is a nationally ranked liberal arts institution with a particular strength in the sciences. A How much is a trillion in scientific notation? The International Union of Geodesy and Geophysics (IUGG) provides three reference values: the mean radius (R1) of three radii measured at two equator points and a pole; the authalic radius, which is the radius of a sphere with the same surface area (R2); and the volumetric radius, which is the radius of a sphere having the same volume as the ellipsoid (R3). That's between 28 and 29 Earths. What is the fluid speed in a fire hose with a 9.00 cm diameter carrying 80.0 l of water per second? b : the third and usually largest vein of an insects wing. = 6,356.8km (3,949.9mi). What is the number in scientific notation? N As a consequence of this, the polar radius is closer to 6,356.7 kilometers. As an example, we will use Eratosthenes measurements. [7] Additional discrepancies caused by topographical variation at specific locations can be significant. Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. How do you find the radius of the Earth using trigonometry? The extrema geocentric radii on the ellipsoid coincide with the equatorial and polar radii. The polar radius of the Earth is 3,950 miles (6,356), which is a 13-mile (22-kilometer) difference. The value of the radius is completely dependent upon the latitude in the case of an ellipsoid model, and nearly so on the geoid. Instant free online tool for Earths equatorial radius to meter conversion or vice versa. Earth's polar radius is 3,950 miles (6,356 km) a difference of 13 miles (22 km). What is the Radius and Diameter of a Circle? The radius of a chlorine atom is approximately meters. {\displaystyle n={\frac {N}{|N|}}} What is the permiter of the Earth? A body on the surface of a planet with the same radius as Earth's weighs 10 times more than it does on Earth. T If one point had appeared due east of the other, one finds the approximate curvature in the eastwest direction. However, other factors such as the rotation of the Earth also contribute to the net acceleration. Asteroids range in size from Vesta - the largest at about 329 miles (530 kilometers) in diameter - to bodies that are less than 33 feet (10 meters) across. to have an oblate spheroid, the curvatures are. However, around 1730, Jacques Cassini argued for a prolate spheroid instead, due to different interpretations of the Newtonian mechanics involved. \text{Circumference} = 39,350 \text{\ kilometers}. Eratosthenes was born around 276 B.C., which is now Shahhat, Libya. In the modern age, satellites often provide the most accurate and current information through global imaging.

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