what is the radius of the earth in meters what is the radius of the earth in meters

A few definitions yield values outside the range between polar radius and equatorial radius because they include local or geoidal topography or because they depend on abstract geometrical considerations. 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". Nowadays there are better ellipsoids when it comes to supplying a much better fit to mean ocean level compared to WGS84 ellipsoid. Moon Fact Sheet - NASA What is the radius of Earth in meters? = Venus is included with a thick, quickly spinning atmosphere, developing a scorched world with temperatures hot enough to melt lead along with a surface pressure 90 occasions those of Earth. PDF Radius of the Earth - Radii Used in Geodesy - Naval Postgraduate School 2 Measured around the Equator, it is 40,075.017 km (24,901.461 mi). There are two principal radii of curvature: along the meridional and prime-vertical normal sections. E Note that this arc is along a great circle. Eastwest directions can be misleading. 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. How to convert radius in metres to pixels in mapbox leaflet? The planet's rotation causes it to bulge at the equator. Therefore, the distance you use in the equation is the distance between the two orbiting bodies. George Jackson is the founder and lead contributor of Physics Network, a popular blog dedicated to exploring the fascinating world of physics. [Mass of the earth is 6 x 1024 kg and radius of the earth is 6.4 x 106 m]. Your partner should measure at the same time, regardless of time difference. (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? However, Earth is not quite a sphere. Unless you know indoor location is available inside the geofence, assume that Wi-Fi . . What is the real radius of the earth? - TeachersCollegesj 371 106 m), the bottom unit of length within the Worldwide System of Units (SI). d What physical measurement / elevation is used to define Earths radius? As an example, we will use Eratosthenes measurements. Hence 1km=10001000m=10m 6. Earth Radius by Latitude Calculator Calculates radius and diameter of the Earth for a given latitude. Here x is the circumference of the earth. 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. = What is velocity of bullet in the barrel? 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). The Bohr model of the atom predicted the radius of the lowest-energy electron orbit. which differs from the exact result by less than 1m (4105in); the mean of the two axes. N x \text {Circumference} = 39,350 \text {\ kilometers} Circumference = 39,350 kilometers. By clicking Accept, you consent to the use of ALL the cookies. At room temperature, it will go from a solid to a gas directly. Earth radius conversions Convert Earth radius to other length and distance measurement units using a free online calculator for length/distance unit conversions. cos This section describes the common ways. Gravity of Earth - Units of Measurement Wiki | Fandom It is known that the equatorial radius of the earth is R=6371km R = 6371 k m so, convert the unit of radius using the conversion factor. The first published reference to the Earth's size appeared around 350BC, when Aristotle reported in his book On the Heavens[19] that mathematicians had guessed the circumference of the Earth to be 400,000 stadia. What is the radius of the earth in physics? [Updated!] The Earths equatorial radius to meter (m) conversion table and conversion steps are also listed. 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. The Earth's polar radius of curvature (either meridional or prime-vertical) is: The principal curvatures are the roots of Equation (125) in:[11]. Wittenberg is a nationally ranked liberal arts institution with a particular strength in the sciences. So if you measure at 11:00am in New York, they should measure at 9:00am in Colorado because of the time difference. Andrew Blum gives some tips that could students in the high-school class in Clinton, Mississippi because they focus on the Eratosthenes project. R=6370 3. First of NASA's SunRISE SmallSats Rolls Off Production Line. [f], This Earth's prime-vertical radius of curvature, also called the Earth's transverse radius of curvature, is defined perpendicular (orthogonal) to M at geodetic latitude is:[g], N can also be interpreted geometrically as the normal distance from the ellipsoid surface to the polar axis. Since Earth is roughly spherical, calculating its volume is relatively simple. a) Calculate the average density of the white dwarf. . 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. By knowing the Equatorial diameter or the polar diameter of the Earth, the circumference can be found. {\displaystyle n={\frac {N}{|N|}}} So, its circumference varies depending on how you calculate it. N , and because , Therefore, the Earth radius isn't constant, but it can be calculated for every location. What is the Radius and Diameter of a Circle? Eratosthenes, the ancient Greek scholar is called the father of geography. How do you compute the earth's radius at a given geodetic latitude? How do you find the radius with mass and gravity? Comment document.getElementById("comment").setAttribute( "id", "a9a1dd2ca0d2b09469aaaff6808fc4c3" );document.getElementById("ae49f29f56").setAttribute( "id", "comment" ); Save my name, email, and website in this browser for the next time I comment. 6378 X 2 = 12 756 km. 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. = That's between 28 and 29 Earths. Derived quantities: diameter, circumference, arc-length, area, volume, There is no single center to the geoid; it varies according to local. For example, if you stand at a point on the earth and move around the earth in a straight path, and reach the same point again, then the distance covered by you is the circumference of the earth. Furthermore, the bulge in the equator shows slow variations. However, Earth is not quite a sphere. y {\displaystyle r} What is the radius of Earth in gravitation? The bulge had been decreasing, but since 1998 the bulge has increased, possibly due to redistribution of ocean mass via currents. 903 mi) at the poles and 6371. 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). Make sure both sticks are perpendicular to the Earth and that the same length of stick protrudes from the ground. 64miles, whereas, whether it ismeasured round the rods, it isapproximately 24,806 miles. What is the radius of the sun in meters? - Answers which differs from the exact result by less than 1m (4105in); the mean of the two axes. Step 3 of 5. (clarification needed). (a) Local topography increases the variance, resulting in a surface of profound complexity. What is the radius of the parallel of latitude? . The circumference of the world measured round the Equatoris approximtely 24,887. This requires an elliptic integral to find, given the polar and equatorial radii: The rectifying radius is equivalent to the meridional mean, which is defined as the average value of M:[14]. According to the law of gravitation, the gravitational force F of the earth acting on a body is given by: Mass of the Earth Formula =6 1024 kg Mass of earth in kg How Big Is Planet Earth? - WorldAtlas EARTH RADIUS meaning & explanation. Refer to the WGS-84 ellipsoid if a more precise value for its polar radius is needed. The radius of the swimming pool water atom is roughly meters. 371 106 meters (Earth radius 6. Given you're looking for a simple formula, this is probably the simplest way to do it, assuming that the Earth is a sphere with a circumference of 40075 km. Do NOT follow this link or you will be banned from the site! E Hence, we create models to approximate characteristics of Earth's surface, generally relying on the simplest model that suits the need. He was the first one to use the word geography and he also had a small-scale notion of the planet that helped him to determine the circumference of the earth. Aristotle (384-322 BC) was among the first to recognize the fact of our planet being a round sphere. You can do this, too, by using his method. The nominal radius serves as a unit of length for astronomy. These values correspond to the zero Earth tide convention. 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. Earth: By the Numbers - NASA We must convert the radius into centimeters: R Moon = 1738 km X (1000m / km) X (100cm / m) = 1.738 X 10 8 cm. b : the third and usually largest vein of an insect's wing. A body on the surface of a planet with the same radius as Earth's weighs 10 times more than it does on Earth. A How much is a trillion in scientific notation? 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. [d] It is also common to refer to any mean radius of a spherical model as "the radius of the earth". Your email address will not be published. .[10]. This cookie is set by GDPR Cookie Consent plugin. Write it in scientific notation. How to Find the Radius of the Earth? | An Overview - Toppr-guides Use the protractor to measure the angle where the string meets the stick at the top. What is the radius of Earth in exponential form? Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. The expedition found that Newton's conjecture was correct:[30] the Earth is flattened at the poles due to rotation's centrifugal force. The value of standard gravity corresponds to the gravity on Earth at a radius of 6,375.4 kilometres (3,961.5 mi). In summary, local variations in terrain prevent defining a single "precise" radius. One reason that our program is so strong is that our . This video explains how humans managed to measure the circumference of the earth long long ago using simple math, reasoning and assumptions. It has an average density of 5.5 g/cm3. where in the first fundamental form for a surface (Equation (112) in[11]): E, F, and G are elements of the metric tensor: r is normal to the surface at Earth's surface area is an estimated 510 km2, and about 29% of the area is land while the other 71% consists of water. The radius of the earth is 6378 km. What is the diameter of the earth 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. 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. We invite readers to visit us daily, explore topics of interest, and gain new perspectives along the way. Facts about the earth Since the earth is a sphere, we can measure its diameter and radius. 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. What is the radius of Earth in meters? | Homework.Study.com 0008km (3,958. r Enchanted Learning. F It is the smallest planet in the Solar System, with an equatorial radius of 2,439.7 km. In physics, it is established that the acceleration due togravity, g (in meters/sec 2), at a height h meters abovesea level is given by g(h)= 3.99 *10 14 (6.374* 10 6 + h) 2 where 6.374 * 10 6 isthe radius of the Earth in meters. Likewise for surface area, either based on a map projection or a geodesic polygon. Equatorial radius is conventionally used as the nominal value unless the polar radius is explicitly required. Our descriptions of Earths surface must be simpler than reality in order to be tractable. A: . Tack one end of a piece of string to the top of the stick. For a perfect sphere without any mountains, the distance d from a transmitting antenna to the horizon or the line of sight, or radio horizon, can be calculated from the Pythagorean theorem (see the picture above):. Ans. Who first calculated the radius of the earth? Android: What Is The Minimum And Maximum Radius For Geofence It is the only planet in our solar system that sustains life and it is the planet that we can call our own. Measuring the Circumference of the Earth. However, other factors such as the rotation of the Earth also contribute to the net acceleration. How do you find the acceleration of a system? [13], The authalic radius When he's not busy exploring the mysteries of the universe, George enjoys hiking and spending time with his family. Regarding this, what is the diameter of the Earth in scientific notation? What is the Radius of the Earth? For Eratosthenes, the arc was 7.2 degrees. Earth's polar radius is 3,950 miles (6,356 km) a difference of 13 miles (22 km). Video advice: What is EARTH RADIUS? It does not store any personal data. , 2 How many miles is a meter in scientific notation? 257. [22] For both Aristotle and Eratosthenes, uncertainty in the accuracy of their estimates is due to modern uncertainty over which stadion length they meant. The recent Juno mission launched with the goal of examining Jupiters composition and underlying structure, the wikipedia article on the Juno spacecraft provides an a great overview of this type of process. They are vertices of the ellipse and also coincide with minimum and maximum radius of curvature. r nasa.gov. Like a torus, the curvature at a point will be greatest (tightest) in one direction (northsouth on Earth) and smallest (flattest) perpendicularly (eastwest). The mathematical expressions above apply over the top of ellipsoid. 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). a) The diameter of the earth is approximately 1.276 1 0 7 1.276 \times 10^7 1.276107 m in scientific notation. Record the measurements. The physical radius, the distance from the center of the earth to the ellipsoid is the least used. The radius of orbit indicates the distance that the satellite is from the center of the earth. Derivation means the action of obtaining something from a source or origin. What is the radius of the parallel of latitude? These cookies track visitors across websites and collect information to provide customized ads. Initially, the idea of a reference ellipsoid was an ellipsoid that best approximated mean ocean level. Compute the radius of the Earth using the formula C (circumference) = 2 x pi x r (radius). 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. A rough, general figure for the Earths mean orbital speed is 30 kilometers per second (km/s), or 18 miles per second (mi/s). and How to Calculate the Force of Gravity on the Earth's Surface - dummies