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

is the eccentricity of the earth. The first person to determine the size of Earth was Eratosthenes of Cyrene, who produced a surprisingly good measurement using a simple scheme that combined geometrical calculations with physical observations. We invite readers to visit us daily, explore topics of interest, and gain new perspectives along the way. Have your partner do the same in her location at the exact same time. 2 degrees. about 6,367.445km (3,956.547mi), can also be used. p Eastwest directions can be misleading. Use scientific notation to show the above value of the radius. Earths rotation, internal density variations, and external tidal forces cause its shape to deviate systematically from a perfect sphere. For the Earth, the authalic radius is 6,371.0072km (3,958.7603mi). Since the locations are points on a circle that goes around the Earth, the distance between them can be expressed as an arc measurement on a 360-degree circle. . First week only $6.99! This answer is: r 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. Sometimes more are aboard the station during a crew handover. [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. If one point had appeared due east of the other, one finds the approximate curvature in the eastwest direction. We also use third-party cookies that help us analyze and understand how you use this website. Solution Verified What is the formula to find radius of Earth? ] 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. {\displaystyle {\frac {\partial r}{\partial \lambda }}} 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):. Both of these values are very close to the accepted modern values for the Earths circumference and radius, 40,070 km and 6378 km respectively, which have since been measured by orbiting spacecraft. Physics, 22. Since pi is an infinite number, the calculations in Step 6 will be more accurate. 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. Eratosthenes estimated Earth's circumference at about 46,250 kilometers (28,735 miles). x Each of the models in common use involve some notion of the geometric radius. Well, the Moon is not always the same distance away from Earth. (C = 2r) With this information, Eratosthenes inferred that the Earths radius was 6366 km. T 2023 Leaf Group Ltd. / Leaf Group Media, All Rights Reserved. This cookie is set by GDPR Cookie Consent plugin. ] At the equator, the radius of Earth is 3963 miles (Diameter = 7926 miles). 6,371,000 metersThe value, symbolized rearth, is equal to approximately 6,371,000 meters (6.371 x 106 m). What is the radius of Earth in meters? p Likewise for surface area, either based on a map projection or a geodesic polygon. 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 following radii are derived from the World Geodetic System 1984 (WGS-84) reference ellipsoid. F It is the smallest planet in the Solar System, with an equatorial radius of 2,439.7 km. {\displaystyle {\mathcal {R}}_{\mathrm {pE} }^{\mathrm {N} }} 3 Hence the required distance is. In his writing, Alexander covers a wide range of topics, from cutting-edge medical research and technology to environmental science and space exploration. The equatorial circumference is simply the circle perimeter: Ce=2a, in terms of the equatorial radius, a. In simple words, radius refers to that line, which originates from any point of the circle and touches the centre point the circle. How many miles is a meter in scientific notation? 2a : the bone on the thumb side of the human forearm also : a corresponding part of vertebrates above fishes. Arc length of more general surface curves, such as meridian arcs and geodesics, can also be derived from Earth's equatorial and polar radii. = Added 2022-02-06 15:04:59 subject Physics by rsa072001. Now we know 1km=1000m 5. Earth radius Conversion conversion table Earth radius to Meters Conversion Table Meters [ m ] The radius of the earth is 6371 km. {\displaystyle n={\frac {N}{|N|}}} "The Earth's mass is about 5.98 10 24 kg". In summary, local variations in terrain prevent defining a single "precise" radius. 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). For Eratosthenes, at midday on the summer solstice where the suns angle was directly overhead, the angle was zero. Step 2 of 5. 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. Derivation means the action of obtaining something from a source or origin. The radius of a chlorine atom is approximately meters. Find the volume of Earth in cubic meters. 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. earthRadius The bulge have been decreasing, consider 1998 the bulge has elevated, possibly because of redistribution of sea mass via currents. You also have the option to opt-out of these cookies. The radius of the Earth, re, is about 6.38 10 6 meters, and the mass of the Earth is 5.98 10 24 kilograms. The cookies is used to store the user consent for the cookies in the category "Necessary". . The radius of the earth's orbit is 45,000,000 meters. It is 6356.752 km (3949.903 mi) at the poles and 6371.001 km (3958.756 mi) on average. You need to ask yourself questions and then do problems to answer those questions. 1 This equation for acceleration can , Dry ice is the name for carbon dioxide in its solid state. 1o = 180 radian. 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. The radius of orbit indicates the distance that the satellite is from the center of the earth. 2013-09-16 00:47:38. This quantity is denoted variously as . 06. [27] However, the 1492 enactment of that voyage brought his fleet to the Americas. Answer (1 of 3): First of all let us consider the shape of the earth to be a sphere. This cookie is set by GDPR Cookie Consent plugin. Skip to main content. 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 You also have the option to opt-out of these cookies. r Its nice to determine that measurements taken by a lot of groups, sometimes in under ideal conditions, came so near to the right answer. nasa.gov. How do you find the radius in circular motion? The formula for the volume of a sphere is V = 4/3 r. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. (a) Local topography increases the variance, resulting in a surface of profound complexity. The polar radius of the Earth is 3,950 miles (6,356), which is a 13-mile (22-kilometer) difference. The radius of a circle is the straight-line distance from the very center of the circle to any point on the circle. At room temperature, it will go from a solid to a gas directly. The diameter is the distance from side to side, if you. 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 circumference of the Earth is the length or distance measured around it. also corresponds to the radius of (global) mean curvature, obtained by averaging the Gaussian curvature, This cookie is set by GDPR Cookie Consent plugin. Thus, the surface of the earth at the. Whether you need help solving quadratic equations, inspiration for the upcoming science fair or the latest update on a major storm, Sciencing is here to help. , Other ways to define and measure the Earth radius involve the radius of curvature. a) The radius of the earth is 4000 miles. Explanation: The Earth's radius (r) is 6371 km or 3959 miles, based on numbers from Wikipedia, which gives a circumference (c) of c = 2 * * r = 40 030 km We wish to find the height (h) which is the drop in curvature over the distance (d) Using the circumference we find that 1 kilometer has the angle 360 / 40 030 km = 0.009. Use a scientific calculator. (8,849 meters), but it is not the highest point on Earth that is, the place most distant from the . [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. Measuring the Circumference of the Earth. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. A Rather, elevation above or below sea level is useful. This length is also used as a unit of distance, especially in astronomy and geology, where it is usually denoted by R. b : the third and usually largest vein of an insect's wing. The extrema geocentric radii on the ellipsoid coincide with the equatorial and polar radii. 2. Its better to have a reference ellipsoid that is constant over time than it is to have an ever improving best fit ellipsoid. Furthermore, the bulge in the equator shows slow variations. A consequence is that a distance to the true horizon at the equator is slightly shorter in the northsouth direction than in the eastwest direction. Learn what is circumference of a sphere, how to calculate the circumference of the Earth with the help of solved examples. This is roughly 6,371 kilometers (km) or 3,960 statute miles. The radius of the sun at 696,000 km is 109 times the Earth's radius. The distance to the centre of the Earth has been taken as the volumetric mean radius of the Earth: 6,371km. Measurement of Earths circumference has been important to navigation since ancient times. Born and raised in the city of London, Alexander Johnson studied biology and chemistry in college and went on to earn a PhD in biochemistry. Write it in scientific notation. {\displaystyle r} The actual radius of the earth is 6,378.1 kilometers at the equator, but the radius varies because the earth is a somewhat flattened sphere. 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). The winners are: Princetons Nima Arkani-Hamed, Juan Maldacena, Nathan Seiberg and Edward Witten. On solving the circumference of the earth we get 39,350 kilometres. w And we end up with 12.6 meters per second , Firearm muzzle velocities range from approximately 120 m/s (390 ft/s) to 370 m/s (1,200 ft/s) in black powder muskets, to more than 1,200 m/s (3,900 ft/s) in modern rifles with high-velocity cartridges such as the , Summary. It has a diameter of 12,756.3 km (Scientific notation: 1.2756 x 10e4) and a radius of 56,378.15 km (Scientific notation: 5.6378 x 10e4 km.) Note that the dimensions of h, R and d must be . But opting out of some of these cookies may affect your browsing experience. How do you find the radius of a gravitational field? By knowing the Equatorial diameter or the polar diameter of the Earth, the circumference can be found. These cookies track visitors across websites and collect information to provide customized ads. For the WGS84 ellipsoid, that's respectively: Earth's circumference equals the perimeter length. 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. , and because 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. A closed-form solution exists for a spheroid:[14]. This is the radius that Eratosthenes measured in his arc measurement. [6] It is an idealized surface, and the Earth measurements used to calculate it have an uncertainty of 2m in both the equatorial and polar dimensions. Scholars have interpreted Aristotle's figure to be anywhere from highly accurate[20] to almost double the true value. For Eratosthenes, the arc was 7.2 degrees. 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. Find the level of Earth in cubic meters. As such, they are topographical geocentric distances, Rt, which depends not only on latitude. Have your partner do the same in her location. p One can only adopt an idealized model. Drive one of the meter sticks into the ground in your location in a sunny spot. r which differs from the exact result by less than 1m (4105in); the mean of the two axes. {\displaystyle w^{2}=\lambda ,}. Solving for x reveals the circumference to be. 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. Point B, which appears due east from A, will be closer to the equator than A. In late August of 2003, Mars was at its closest point to Earth in about 60,000 years! This video explains how humans managed to measure the circumference of the earth long long ago using simple math, reasoning and assumptions. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. 2 You have to find the circumference. N Here x is the circumference of the earth. For Earth, the arithmetic mean radius is 6,371.0088km (3,958.7613mi). to have an oblate spheroid, the curvatures are. It does not store any personal data.

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