what is the radius of the earth in meters

Asked By: Lena Frontelo | Last Updated: 18th May, 2020, Earth is the third planet from the sun. 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. mpanderla95. R Have your partner do the same in her location. A rough, general figure for the Earths mean orbital speed is 30 kilometers per second (km/s), or 18 miles per second (mi/s). Tack one end of a piece of string to the top of the stick. 2 A closed-form solution exists for a spheroid:[14]. Thus, the radius of the earth in meters in scientific notation is 6.371106m. At the equator, the radius of Earth is 3963 miles (Diameter = 7926 miles). Other ways to define and measure the Earth radius involve the radius of curvature. 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. What is the radius of Earth in exponential form? 257. 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. This calculated value became a defining value in 1993. Technology similar to the instruments that are used to survey Earth can also be found all across the solar system. (C = 2r) With this information, Eratosthenes inferred that the Earths radius was 6366 km. This cookie is set by GDPR Cookie Consent plugin. First of NASA's SunRISE SmallSats Rolls Off Production Line. K A globally-average value is usually considered to be 6,371 kilometres (3,959mi) with a 0.3% variability (10 km) for the following reasons. A meter is a meter, no matter what your zoom level is. , nasa.gov. Compute the radius of the Earth using the formula C (circumference) = 2 x pi x r (radius). 2a : the bone on the thumb side of the human forearm also : a corresponding part of vertebrates above fishes. The average light travel time to the earth is 8.3 minutes. 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. Thus, the surface of the earth at the equator moves at a speed of 460 meters per secondor roughly 1,000 miles per hour. Instant free online tool for Earths equatorial radius to meter conversion or vice versa. For Eratosthenes, the arc was 7.2 degrees. It is a physical constant which represents the most probable distance between the electron and the nucleus in a hydrogen atom in its ground state. For the Earth, the authalic radius is 6,371.0072km (3,958.7603mi). ) is the distance from the center of Earth to a point on or near its surface. Place the loose end of the string at the end of the cast shadow and hold it taut. Then convert km - m. 1 km = 1000 m. 12 756 km = ? (clarification needed). Note that this arc is along a great circle. Lunar night time is also about two weeks long, during which the moon's temperature plummets to -208 degrees F (-130 C, 140 K) according to NASA. for the nominal polar Jupiter radius. {\displaystyle r=[r^{1},r^{2},r^{3}]^{T}=[x,y,z]^{T}} A 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). less than 6400 km. 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. The equation for Keplers Third Law is P = a, so the period of a planets orbit (P) squared is equal to the size semi-major axis of the orbit (a) cubed when it is expressed in astronomical units. A body on the surface of a planet with the same radius as Earth's weighs 10 times more than it does on Earth. Start your trial now! A Just how much is really a trillion in scientific notation? R=6370 3. Likewise for surface area, either based on a map projection or a geodesic polygon. [ However, Earth is not quite a sphere. In his writing, Alexander covers a wide range of topics, from cutting-edge medical research and technology to environmental science and space exploration. 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 Find the level of Earth in cubic meters. {\displaystyle w^{2}=\lambda ,}. Reviving Erastosthenes, 2022-year-old experiment using the angle of the sun to measure the radius of the Earth. At room temperature, it will go from a solid to a gas directly. Through derivation, we find a logical connection between a natural phenomenon and a mathematical description of that phenomenon. This section describes the common ways. 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. Karren Doll Tolliver holds a Bachelor of English from Mississippi University for Women and a CELTA teaching certificate from Akcent Language School in Prague. The mathematical expressions above apply over the surface of the ellipsoid. The cookie is used to store the user consent for the cookies in the category "Other. 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. 2 What is the radius of the parallel of latitude? A cylinder has a radius of 8 meters. Copyright 2022 - Science-Atlas.com. The corresponding radius of curvature depends on the location and direction of measurement from that point. 2019 11:40, yfnal3x. Your partner should measure at the same time, regardless of time difference. Rather, elevation above or below sea level is useful. How do you find the acceleration of a system? = The value of the radius is completely dependent upon the latitude in the case of an ellipsoid model, and nearly so on the geoid. 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. Since the estimate by Eratosthenes, many models have been created. ] 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). There are two principal radii of curvature: along the meridional and prime-vertical normal sections. F It is the smallest planet in the Solar System, with an equatorial radius of 2,439.7 km. Video advice: How We Calculated the Radius of Earth. 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. R and Radius of sun is 695 500 km, so in meters you multiply by 1000. Geodetic ellipsoids are better suited to regional idiosyncrasies of the geoid. Here x is the circumference of the earth. Wind farms have different impacts on the environment compared to conventional power plants, but similar concerns exist over both the noise produced by the turbine blades and the . How far (in meter) does it travel in the first 3 seconds? N The orbit is not a perfect circle. This is the radius that Eratosthenes measured in his arc measurement. This difference is the geoid height, positive above or outside the ellipsoid, negative below or inside. The core is found about 2,900 kilometers (1,802 miles) below Earth's surface, and has a radius of about 3,485 kilometers (2,165 miles). are tangents to the surface. This equation for acceleration can , Dry ice is the name for carbon dioxide in its solid state. close. It does not store any personal data. A) 4.5 x 10-7 B) 4.5 x 107 C) 45 x 10-6 D) 45 x 106 e = 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. arrow_forward. The radius of a chlorine atom is approximately meters. The standard English name of the planet, including in science, is Earth. So, for him the following relationship between objects will apply: 7.2 / 360 = 787 / x. in the second fundamental form for a surface (Equation (123) in[11]): e, f, and g are elements of the shape tensor: n 2023 Leaf Group Ltd. / Leaf Group Media, All Rights Reserved. Earth's polar radius is 3950 miles (Diameter = 7900 miles). Enchanted Learning. In summary, local variations in terrain prevent defining a single "precise" radius. His highly influential work, the Almagest,[26] left no doubt among medieval scholars that Earth is spherical, but they were wrong about its size. 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. 06. Earth's polar radius is 3,950 miles (6,356 km) a difference of 13 miles (22 km). Earth's rocky mantle and metallic core make it the densest planet, at 5.513 grams per cubic centimeter. The Earth's polar radius of curvature (either meridional or prime-vertical) is: The principal curvatures are the roots of Equation (125) in:[11]. The cookie is used to store the user consent for the cookies in the category "Other. Note that the dimensions of h, R and d must be . The earth is made up of three different layers: the crust, the mantle and the core. By knowing the Equatorial diameter or the polar diameter of the Earth, the circumference can be found. is the eccentricity of the earth. Eastwest directions can be misleading. The radius of the Earth is 6371 km. Derivation means the action of obtaining something from a source or origin. We invite readers to visit us daily, explore topics of interest, and gain new perspectives along the way. [22] For both Aristotle and Eratosthenes, uncertainty in the accuracy of their estimates is due to modern uncertainty over which stadion length they meant. If no sub- or superscripts appear on this page - for example, if the "Mass" is given in units of "(1024 kg)" - you may want to check the notes on the sub- and superscripts. An arc of 1 radian = the radial distance of the the latitude circle, from. Science atlas, our goal is to spark the curiosity that exists in all of us. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". Q. He also shares personal stories and insights from his own journey as a scientist and researcher. Measurement of Earths circumference has been important to navigation since ancient times. This quantity is denoted variously as . The first, titled Arturo Xuncax, is set in an Indian village in Guatemala. As , EL NORTE is a melodrama divided into three acts. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. 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 Gaussian radius of curvature at latitude is:[12]. 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. find the radius of mars. 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. Its measured round the Equator and round the rods that provide different values. What is the radius of Earth in exponential form? Necessary cookies are absolutely essential for the website to function properly. As such, they are topographical geocentric distances, Rt, which depends not only on latitude. Physics, 22. The bulge have been decreasing, consider 1998 the bulge has elevated, possibly because of redistribution of sea mass via currents. The cookie is used to store the user consent for the cookies in the category "Analytics". You need to ask yourself questions and then do problems to answer those questions. However, around 1730, Jacques Cassini argued for a prolate spheroid instead, due to different interpretations of the Newtonian mechanics involved. How do we measure the diameter of the Earth? Yes! 5.98 10 24 kg. The Earth's meridional radius of curvature at the equator equals the meridian's semi-latus rectum: The Earth's prime-vertical radius of curvature at the equator equals the equatorial radius, N = a. R = 6371 km is the mean Earth radius.. [2] Thus, the radius of the earth in meters in scientific notation is 6.371106m. (The notation is defined such that it can be easily generalized for other planets; e.g., Oceanic crust is denser and thinner and mainly composed of basalt. Tack one end of a piece of string to the top of the stick. 0008km (3,958. What is the formula of radius of nucleus? This implies that for a given mass and velocity, a large centripetal force causes a small radius of curvaturethat is, a tight curve, as in (Figure). [Mass of the earth is 6 x 1024 kg and radius of the earth is 6.4 x 106 m]. Testing, Testing: Space-Bound US-European Water Mission Passes Finals. Measured around the poles, the circumference is 40,007.863 km (24,859.734 mi). The Earths circumference is approximately 40,000,000 meters. Part 4: Computation . The radius of the sun at 696,000 km is 109 times the Earth's radius. Eratosthenes' methods result in a formula that would look like this: 39,350 = 2 x 3.14 x r, or 6,267 kilometers. 3.2.2.2Non-directional 4Global radii 4.1Nominal radius 4.2Arithmetic mean radius 4.3Authalic radius 4.4Volumetric radius 4.5Rectifying radius 5Topographical radii 5.1Topographical extremes 5.2Topographical global mean 6Derived quantities: diameter, circumference, arc-length, area, volume 7Published values 8History 9See also 10Notes 11References How many meters is the earth? The radius of a parallel of latitude is given by 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 , It has an average density of 5.5 g/cm3. When the Moon is the farthest away, it's 252,088 miles away. g = GM/r2, Where M is the mass of the Earth, r the radius of the Earth (or distance between the center of the Earth and you, standing on its surface), and G is the gravitational constant. The cookie is used to store the user consent for the cookies in the category "Performance". What does EARTH RADIUS mean? 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. Hence the required distance is. Subtract the angle measurements to determine the difference in the angle of shadows between the two locations. Drive one of the meter sticks into the ground in your location in a sunny spot. Earth radius at sea level is 6378.137 km (3963.191 mi) at the equator. The IUGG denotes the authalic radius as R2. 1o = 180 radian. How did we determine the size of the Earth? Exercises. This table summarizes the accepted values of the Earth's radius. Analytical cookies are used to understand how visitors interact with the website. Sun: radius = 696,000 kilometers, > 100 occasions bigger.

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