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

What is the Radius and Diameter of a Circle? Note that this arc is along a great circle. Also a photographer, she records adventures by camera, combining photos with journals in her blogs. 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". How do you express the earths diameter in scientific notation? Hence the required distance is. (The notation is defined such that it can be easily generalized for other planets; e.g., 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 far is the center of the Earth in KM? Earth radius at sea level is 6378.137 km (3963.191 mi) at the equator. B Radius of sun is 695 500 km, so in meters you multiply by 1000. | . Hence, we create models to approximate characteristics of Earths surface, generally relying on the simplest model that suits the need. R A The cookie is used to store the user consent for the cookies in the category "Analytics". 6,371,000 metersThe value, symbolized rearth, is equal to approximately 6,371,000 meters (6.371 x 106 m). 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 cookie is used to store the user consent for the cookies in the category "Other. A How much is a trillion in scientific notation? The orbit of Earth ranges from 1.47 to 1.52 x 10 11 meters from the Sun. Therefore, the distance you use in the equation is the distance between the two orbiting bodies. The cookies is used to store the user consent for the cookies in the category "Necessary". det , over the surface of the ellipsoid. r = 39350/ 6.28 = 6267 kilometer. 1o = 180 radian. Find the level of Earth in cubic meters. First week only $6.99! A) 4.5 x 10-7 B) 4.5 x 107 C) 45 x 10-6 D) 45 x 106 The one exception: The flattening in the original definition of WGS84 was a calculated value, based on the Earths second dynamic form factor as determined from satellite orbits ($\bar C_{2,0}$ in WGS84, $J_2$ in GRS80). Multiplyin. 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). This answer is: However, Earth is not quite a sphere. The planet's rotation causes it to bulge at the equator. 71% of Earths surface is water. Compute the radius of the Earth using the formula C (circumference) = 2 x pi x r (radius). arrow_forward. Through derivation, we find a logical connection between a natural phenomenon and a mathematical description of that phenomenon. Today we know our planet's circumference is roughly 40,000 kilometers (24,850 miles). Eratosthenes was born around 276 B.C., which is now Shahhat, Libya. 64miles, whereas, whether it ismeasured round the rods, it isapproximately 24,806 miles. You can do this, too, by using his method. 1999. K What is the permiter of the Earth? , Does Wittenberg have a strong Pre-Health professions program? Earth's polar radius is 3,950 miles (6,356 km) a difference of 13 miles (22 km). to the plane tangent at 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 . ] The radius is more like 6,371 kilometers at the north and south poles. r The reason for keeping those older values was GPS. 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. Responsibility disclaimer and privacy policy | About Us | Terms & Conditions | Site Map, Scientific discoveries from around the world. Let us calculate area of earth using this formula area=4x22/76370= 5.110 4. Q4. Earth's diameter is simply twice Earth's radius; for example, equatorial diameter (2a) and polar diameter (2b). T For Eratosthenes, the arc was 7.2 degrees. 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. How cold is it on moon? Using the following data: the volume of a sphere = (4/3) (pi)R 3 Radius of the earth= 6.3106 m. Mass of earth= 5.9742 10 24 kilograms. How to Calculate the Circumference of the Earth? Similarly very small numbers are written using negative exponents, e. The very first printed mention of Earths size made an appearance around 350BC, when Aristotle reported in the book Around the Heavens(18) that mathematicians had suspected the circumference of the world to become 400,000 stadia. So, radius of nth orbit is rn=rn2, as Z=1 for H atom. = Its better to have a reference ellipsoid that is constant over time than it is to have an ever improving best fit ellipsoid. How do you find the radius of the earth from latitude? Its mean density is 1410 kg/m 3 or 0.255 times the mean density of Earth. This quantity is denoted variously as . Earth is the third planet from the sun. What is the radius of the earth? A closed-form solution exists for a spheroid:[14]. The Earth's azimuthal radius of curvature, along an Earth normal section at an azimuth (measured clockwise from north) and at latitude , is derived from Euler's curvature formula as follows:[12]:97. View a sample solution. Let the mass of the earth be M and radius of the earth be R, The distance of the body from the center of the earth will also be equal to the radius R of the earth. By knowing the Equatorial diameter or the polar diameter of the Earth, the circumference can be found. 2 This video will show you how Eratosthenes calculated the circumference and radius of the Earth in 240 BC!! We know that the acceleration due to gravity is equal to 9.8 m/s2, the Gravitational constant (G) is 6.673 1011 Nm2/kg2, the radius of the Earth is 6.37 106 m, and mass cancels out. Use the protractor to measure the angle where the string meets the stick at the top. Earth, on the other hand, isn't quite a sphere. {\displaystyle K} For best results, the minimum radius of the geofence should be set between 100 - 150 meters. Also see the Table of Physical Units and Constants. x The radius of the sun at 696,000 km is 109 times the Earth's radius. Using the parameters from WGS84 ellipsoid of revolution, a = 6,378.137 km and b = 6,356.7523142km, V = 1.083211012km3 (2.59881011cumi). radius of earth in meters scientific notation, Convert Earths Equatorial Radius to Meter, What Is Radius Of Gyration In Civil Engineering, High Definition 3D Printer Prints 5 Meters per Second, Most Precise Measurement Ever from the Radius of the Planet Outdoors Our Solar System, Scientists Uncover How Quickly-Flying Bats Can Achieve Great Heights well over 1,600 Meters, What Is The Ploidy Of This Cell Model Mastering Biology, Do The Laws Of Thermodynamics Apply In Space, How To Change Google Earth Language To English, Worlds greatest-dwelling squid spotted 20,000 ft underneath the ocean, Hatches Open! As such, they are topographical geocentric distances, Rt, which depends not only on latitude. The distance between locations are also part of the total circumference of the Earth. (e) For that Earth 1/q 289, that is near to the measured inverse flattening 1/f 298. , which is defined to be 6,378.1km (3,963.2mi). These cookies will be stored in your browser only with your consent. This cookie is set by GDPR Cookie Consent plugin. The equatorial radius of Earth is actually 6,378.1 kilometers. As , EL NORTE is a melodrama divided into three acts. The value of the radius is completely dependent upon the latitude in the case of an ellipsoid model, and nearly so on the geoid. Necessary cookies are absolutely essential for the website to function properly. Examples collapse all Earth Radius in Meters View the mean radius of the Earth using the default units, 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 . NASA Telescope Takes 12-Year Time-Lapse Movie of Entire Sky. The circumference of the Earth can be calculated using the formula, Circumference = 2 R or D, where R is the radius of Earth and D is the diameter. Its SIunit is m/s2. 2a : the bone on the thumb side of the human forearm also : a corresponding part of vertebrates above fishes. E [2] = 6,356.8km (3,949.9mi). Record the distance between your location and your partners location. The radius of a circle is the straight-line distance from the very center of the circle to any point on the circle. An arc of 1 radian = the radial distance of the the latitude circle, from. [2] All three values are about 6,371 kilometres (3,959mi). Furthermore, the bulge in the equator shows slow variations. These cookies track visitors across websites and collect information to provide customized ads. What is the radius of Earth in exponential form? [Mass of the earth is 6 x 1024 kg and radius of the earth is 6.4 x 106 m]. {\displaystyle w^{2}=\lambda ,}. But opting out of some of these cookies may affect your browsing experience. ) The corresponding radius of curvature depends on the location and direction of measurement from that point. Video advice: How We Calculated the Radius of Earth. Advertisement. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. R 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. The answer would be 695 500 000 m. Wiki User. 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. The radius of the swimming pool water atom is roughly meters. R = 6371 km is the mean Earth radius.. The accelerationwhich is gained by an object because of gravitational forceis called its acceleration due to gravity. E . That's almost 32 Earths. However, Earth is not quite a sphere. 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. That's between 28 and 29 Earths. The structure of the Earths upper mantle can be derived from seismic waves. Regarding this, what is the diameter of the Earth in scientific notation? The typical radius of the world is roughly 6. r Radius refers to a line that connects to the centre point of a circle to any point on its outside layer. Of course, no one is claiming the size of Earth has actually changed. [clarification needed]. r What is the radius of the parallel of latitude? 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). Part 4: Computation . The cases below considers Earth's topography, above or below a reference ellipsoid. 2a : the bone on the thumb side of the human forearm also : a corresponding part of vertebrates above fishes. Its volume is 803.84 cubic meters. nasa.gov. [e] For the Earth .mw-parser-output .sfrac{white-space:nowrap}.mw-parser-output .sfrac.tion,.mw-parser-output .sfrac .tion{display:inline-block;vertical-align:-0.5em;font-size:85%;text-align:center}.mw-parser-output .sfrac .num,.mw-parser-output .sfrac .den{display:block;line-height:1em;margin:0 0.1em}.mw-parser-output .sfrac .den{border-top:1px solid}.mw-parser-output .sr-only{border:0;clip:rect(0,0,0,0);height:1px;margin:-1px;overflow:hidden;padding:0;position:absolute;width:1px}1/q 289, which is close to the measured inverse flattening 1/f 298.257. The radius of a parallel of latitude is given by 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 planet's rotation causes it to bulge at the equator. (C = 2r) With this information, Eratosthenes inferred that the Earths radius was 6366 km. Does Bohrs model explain radius of an orbit? The Earth. 752 km (3949. This is the radius that Eratosthenes measured in his arc measurement. Earth's volume, or that of the reference ellipsoid, is V = 4/3a2b. + Where K is the Gaussian curvature, Example 2. The circumference of the Earth is the length or distance measured around it. Thus, the surface of the earth at the. Testing, Testing: Space-Bound US-European Water Mission Passes Finals. 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. 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) The planet bulges at the equator as a result of its rotation. The other two are the radii of curvature. Since Earth is roughly spherical, calculating its volume is relatively simple. Above we see an object with mass m attached to a spring. Therefore, if the earth is taken to be a two dimensional object, its perimeter would be equal to the. close. In 1993 the WGS84 governing committee voted, with one exception, to retain the 1984 defining values, despite improvements to those defining values. 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. Geometrically, the second fundamental form gives the distance from The standard English name of the planet, including in science, is Earth. {\displaystyle {\frac {\partial r}{\partial \varphi }}} It does not store any personal data. In this state, it would have approximately the same mass as it has now, but its radius would be equal to the radius of the Earth. 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. 2 {\displaystyle w^{1}=\varphi } Place the loose end of the string at the end of the cast shadow and hold it taut. Measurement of Earths circumference has been important to navigation since ancient times. Now, lets plug in some numbers. 06. where. This table summarizes the accepted values of the Earth's radius. 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. Learn what is circumference of a sphere, how to calculate the circumference of the Earth with the help of solved examples. This length is also used as a unit of distance, especially in astronomy and geology, where it is usually denoted by R. The cookie is used to store the user consent for the cookies in the category "Performance". You have to use the distance from the center of the Earth, not the distance above Earth's surface, as the radius. An Enormous, Unknown Cambrian Bug Fossil Has Been Discovered within the Eerie Burgess Shale, Ancient Tracks May Be The Oldest Hominin Footprints Ever Found, Scientists Say, By 2500, Earth Will Be Alien To Humans If We Dont Act Now, Scientists Warn, Responsibility disclaimer and privacy policy, Topics Related to Circumference of the Earth. to the plane tangent at What is the number in scientific notation? 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. F It is the smallest planet in the Solar System, with an equatorial radius of 2,439.7 km. r . West can be exchanged for east in this discussion. {\displaystyle {\mathcal {R}}_{\mathrm {pJ} }^{\mathrm {N} }} {\displaystyle R_{2}} This cookie is set by GDPR Cookie Consent plugin. As a consequence of this, the polar radius is closer to 6,356.7 kilometers. 0 The first published reference to the Earths size appeared around 350BC, when Aristotle reported in his book On the Heavens(18) that mathematicians had guessed the circumference of the Earth to be 400,000 stadia. also corresponds to the radius of (global) mean curvature, obtained by averaging the Gaussian curvature, The Earths circumference is approximately 40,000,000 meters. University of Texas: Eratosthenese Finds Diameter of Earth, Partner in a distant location on about the same longitude or in the same time zone. [ Earth radius is the distance from Earth's center to its surface, about 6,371 km (3,959 mi). 1. = You must measure the angle of shadows in the two locations at the exact same time on the exact same day or the calculations will be erroneous. {\displaystyle p=N\cos(\varphi )} Earth, as we know now, is an oblate spheroid, as shown in the above figure. N (b) Repeat part (a) with the sun in place of the earth. 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. Ocean Worlds Resources. The dashed line designates the radius to one point on the surface. z Step 3 of 5. {\displaystyle n={\frac {N}{|N|}}} [d] It is also common to refer to any mean radius of a spherical model as "the radius of the earth". Facts about the earth Since the earth is a sphere, we can measure its diameter and radius. 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. The first and second radii of curvature correspond, respectively, to the Earth's meridional and prime-vertical radii of curvature. N 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 formula for the volume of a sphere is V = 4/3 r. The cookie is used to store the user consent for the cookies in the category "Performance". Also, explore tools to convert Earths equatorial radius or meter to other length units or learn more about length conversions. 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). Other ways to define and measure the Earth radius involve the radius of curvature. F Technology similar to the instruments that are used to survey Earth can also be found all across the solar system. Its measured round the Equator and round the rods that provide different values. 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. Mathematically, Earth is a spheroid. Find the volume of Earth in cubic meters. [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. , where in the first fundamental form for a surface (Equation (112) in[11]): E, F, and G are elements of the metric tensor: r The radius of the Earth is 6371 km. Semi-minor axis b = 6356752.3142 meters. Our descriptions of Earths surface must be simpler than reality in order to be tractable. The IUGG denotes the volumetric radius as R3. Your email address will not be published. 149597870700 meters nearly This is 10-sd (significant digits) approximation. Each of the models in common use involve some notion of the geometric radius. This cookie is set by GDPR Cookie Consent plugin. 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.) Unless you know indoor location is available inside the geofence, assume that Wi-Fi . 371 106 meters (Earth radius 6. The space station is 356 feet (109 meters) end-to-end, one yard shy of the full length of an American football field including the end . This cookie is set by GDPR Cookie Consent plugin. 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. R Earth's rocky mantle and metallic core make it the densest planet, at 5.513 grams per cubic centimeter. The geoid height variation is under 110m (360ft) on Earth. Therefore, the difference was 7.2 degrees. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". 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. T he circumference of the Earth (around the equator) is approximately 24,887 miles. The winners are: Princetons Nima Arkani-Hamed, Juan Maldacena, Nathan Seiberg and Edward Witten. R The bulge had been decreasing, but since 1998 the bulge has increased, possibly due to redistribution of ocean mass via currents. What is radius of Earth in gravitation Class 9? This astronomical observation was confirmed by general observations made at sea. 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. nasa.gov. Hence 1km=10001000m=10m 6. Earth's polar radius is 3,950 miles (6,356 km) a difference of 13 miles (22 km). The first, titled Arturo Xuncax, is set in an Indian village in Guatemala. While specific values differ, the concepts in this article generalize to any major planet. One reason that our program is so strong is that our . to have an oblate spheroid, the curvatures are. Solution for the radious of earth is 6378.1 km, which is 2981.1 km greater than the radius of mars. So, for him the following relationship between objects will apply: 7.2 / 360 = 787 / x. 257. Could E.T. A: . What happens to the dry ice at room pressure and temperature? Point B, which appears due east from A, will be closer to the equator than A. As such, they are topographical geocentric distances, Rt, which depends not only on latitude. Who first calculated the radius of the earth? In simple words, radius refers to that line, which originates from any point of the circle and touches the centre point the circle. 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 , If one point had appeared due east of the other, one finds the approximate curvature in the eastwest direction. Nowadays there are better ellipsoids when it comes to supplying a much better fit to mean ocean level compared to WGS84 ellipsoid. You also have the option to opt-out of these cookies. However, other factors such as the rotation of the Earth also contribute to the net acceleration. , For Earth, the volumetric radius equals 6,371.0008km (3,958.7564mi). Acceleration due to gravity is a vector, which means it has both a magnitudeand a direction. . Reviving Erastosthenes, 2022-year-old experiment using the angle of the sun to measure the radius of the Earth. 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 EARTH RADIUS meaning & explanation. Now we know 2 things- 1. At the equator, the radius of Earth is 3963 miles (Diameter = 7926 miles). 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. 1 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. The circumference of the world may be the distance measured around it. What is the radius of Earth in exponential form? arrow_forward. . [7] Additional discrepancies caused by topographical variation at specific locations can be significant. Earth's rotation, internal density variations, and external tidal forces cause its shape to deviate systematically from a perfect sphere. 2013-09-16 00:47:38. earthRadius The model is rotated in a wind tunnel at a rotational speed of 500 rev/minrev/min. You can do this, too, by using his method. Now we know 1km=1000m 5. 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. Most experts think planet Earth can support about 10 billion people, and that when our population reaches that number, it will start to decline. Refer to the WGS-84 ellipsoid if a more precise value for its polar radius is needed. 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. The radius of Earth at the equator is 3,963 miles (6,378 kilometers), according to NASA's Goddard Space Flight Center in Greenbelt, Maryland. 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. Because these measurements are not done with more sensitive equipment, the radius calculation will be only approximate. 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. where e2 = a2 b2/a2 and A is the surface area of the spheroid. J Exponential or Scientific Notation: It is easier to write very large numbers such as 100,000,000 as 10 8 (1 followed by 8 0s). These cookies ensure basic functionalities and security features of the website, anonymously. Derived quantities: diameter, circumference, arc-length, area, volume, There is no single center to the geoid; it varies according to local. You also have the option to opt-out of these cookies. p . 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 following is a partial list of models of Earth's surface, ordered from exact to more approximate: In the case of the geoid and ellipsoids, the fixed distance from any point on the model to the specified center is called "a radius of the Earth" or "the radius of the Earth at that point". 1 (clarification needed). How do you find the radius of a gravitational field? [22] For both Aristotle and Eratosthenes, uncertainty in the accuracy of their estimates is due to modern uncertainty over which stadion length they meant. However, for purposes of uniformity and use in geophysics and astronomy, the nominal earth radius is used, which is about 6, 371 km.