what is the radius of the earth in meters

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. University of Texas: Eratosthenese Finds Diameter of Earth, Partner in a distant location on about the same longitude or in the same time zone. Sun: radius = 696,000 kilometers, > 100 occasions bigger. {\displaystyle w^{2}=\lambda ,}. 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 for an oblate spheroid, the curvatures are. 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. 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 standard English name of the planet, including in science, is Earth. 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. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. The earth is made up of three different layers: the crust, the mantle and the core. The equatorial radius is most commonly used to calculate the volume of Earth, so as not to leave out any territory. The adolescent protagonists of the sequence, Enrique and Rosa, are Arturos son and , The payout that goes with the Nobel Prize is worth $1.2 million, and its often split two or three ways. As an example, we will use Eratosthenes situation. 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. Solving for x reveals the circumference to be. When the Moon is the farthest away, it's 252,088 miles away. 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. , Your email address will not be published. This answer is: 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. Now, lets plug in some numbers. 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. Has got the radius of Earth mysteriously grown by about 3%? Q4. In simple words, radius refers to that line, which originates from any point of the circle and touches the centre point the circle. {\displaystyle {\frac {\partial r}{\partial \varphi }}} All Right Reserved. What are the formula in calculating the earth? Also a photographer, she records adventures by camera, combining photos with journals in her blogs. 7564mi). Where K is the Gaussian curvature, The polar circumference equals Cp=4mp, four times the quarter meridian mp=aE(e), where the polar radius b enters via the eccentricity, e=(1b2/a2)0.5; see Ellipse#Circumference for details. For information on the Earth, see the Earth Fact Sheet. This is the outside layer of the earth and is made of solid rock, mostly basalt and granite. The average light travel time to the earth is 8.3 minutes. For Eratosthenes, the arc was 7.2 degrees. This website uses cookies to improve your experience while you navigate through the website. 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. 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). Measurement of Earths circumference has been important to navigation since ancient times. => When indoor location is available, the accuracy range can be as small as 5 meters. In 1993 the WGS84 governing committee voted, with one exception, to retain the 1984 defining values, despite improvements to those defining values. ] 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. 2023 Leaf Group Ltd. / Leaf Group Media, All Rights Reserved. Eratosthenes was born around 276 B.C., which is now Shahhat, Libya. However, Earth is not quite a sphere. [21] The first known scientific measurement and calculation of the circumference of the Earth was performed by Eratosthenes in about 240BC. 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). 01 Earths equatorial radius63781. Where R is the radius of the Earth. Answer (1 of 3): First of all let us consider the shape of the earth to be a sphere. It is the only planet in our solar system that sustains life and it is the planet that we can call our own. 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. It is possible to combine the principal radii of curvature above in a non-directional manner. Make sure both sticks are perpendicular to the Earth and that the same length of stick protrudes from the ground. Point on the ellipsoid surface can be defined by the parametric curve equation. 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. What is the number in scientific notation? 137 km (3963. Around 1690, Isaac Newton and Christiaan Huygens argued that Earth was closer to an oblate spheroid than to a sphere. The size of a frictional force is given by F, start subscript, f, end subscript, is less than or equal to, mu, R,FfR where R is the magnitude of the normal reaction force between the two surfaces and is the coefficient of friction between the two surfaces. The dashed line designates the radius to one point on the surface. 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. | {\displaystyle e} 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. The value for the equatorial radius is defined to the nearest 0.1m in WGS-84. 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. mpanderla95. One reason that our program is so strong is that our . [22] For both Aristotle and Eratosthenes, uncertainty in the accuracy of their estimates is due to modern uncertainty over which stadion length they meant. 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. to have an oblate spheroid, the curvatures are. Therefore, the difference was 7.2 degrees. Since pi is an infinite number, the calculations in Step 6 will be more accurate. 2 [13], The authalic radius Its better to have a reference ellipsoid that is constant over time than it is to have an ever improving best fit ellipsoid. What is the radius of Earth in meters? While carbon dioxide gas is invisible, the very cold gas , Turbines produce noise and alter visual aesthetics. {\displaystyle K=\kappa _{1}\,\kappa _{2}={\frac {\det \,B}{\det \,A}}} How do you find the radius of the Earth using trigonometry? Given local and transient influences on surface height, the values defined below are based on a "general purpose" model, refined as globally precisely as possible within 5m (16ft) of reference ellipsoid height, and to within 100m (330ft) of mean sea level (neglecting geoid height). After many, many years, you will have some intuition for the physics you studied. Use scientific notation to show the above value of the radius. 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. where may be the angular frequency, G may be the gravitational constant, and M may be the mass from the planet. ) Record the distance between your location and your partners location. [27] However, the 1492 enactment of that voyage brought his fleet to the Americas. Earth radius (denoted as R or The circumference of the world measured round the Equatoris approximtely 24,887. 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. How do you express the earths diameter in scientific notation? Your partner should measure at the same time, regardless of time difference. This difference is the geoid height, positive above or outside the ellipsoid, negative below or inside. Earth's rotation, internal density variations, and external tidal forces cause its shape to deviate systematically from a perfect sphere. nasa.gov. Equatorial radius is conventionally used as the nominal value unless the polar radius is explicitly required. 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. For best results, the minimum radius of the geofence should be set between 100 - 150 meters. (C = 2r) With this information, Eratosthenes inferred that the Earths radius was 6366 km. What is velocity of bullet in the barrel? Definition of radius 1 : a line segment extending from the center of a circle or sphere to the circumference or bounding surface. 371 106 meters (Earth radius 6. w 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. How do we measure the diameter of the Earth? Though he did not have instant communications as we do now, he was able to determine the angle of the suns rays in Alexandria at the same time, which was about 7.2 degrees. That's almost 32 Earths. It was there that he first had the idea to create a resource for physics enthusiasts of all levels to learn about and discuss the latest developments in the field. a) The diameter of the earth is approximately 1.276 1 0 7 1.276 \times 10^7 1.276107 m in scientific notation. 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. A meter is a meter, no matter what your zoom level is. Additionally, the radius can be estimated from the curvature of the Earth at a point. Explore Asteroids In Depth Key Science Targets There are two types of crust; oceanic and continental. = What is the permiter of the Earth? p , Skip to main content. The mathematical expressions above apply over the surface of the ellipsoid. state. Calculating Earths Volume Averaging these two numbers yields a mean radius of 6,371.0 kilometers (3,958.7 miles), which in turn yields an approximate value for the volume of the Earth of 1.08 quadrillion cubic kilometers (259 trillion cubic miles). is the eccentricity of the earth. 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. How do you find the radius of a planet in physics? For Earth, the arithmetic mean radius is 6,371.0088km (3,958.7613mi). The Earth's polar radius of curvature (either meridional or prime-vertical) is: The principal curvatures are the roots of Equation (125) in:[11]. You need to ask yourself questions and then do problems to answer those questions. Copyright 2022 - Science-Atlas.com. What is the Radius and Diameter of a Circle? According to NASA's Goddard Space Flight Center, Earth's radius at the equator is 3,963 miles (6,378 kilometers). Each pair measured the position from the sun, in the same manner the Greek philosopher Eratosthenes exceeded 2000 years back in Alexandria, Egyptby evaluating the size of an item to the size of its shadow, measured at local noon. , How did we determine the size of the Earth? These cookies will be stored in your browser only with your consent. 0008km (3,958. Its mean density is 1410 kg/m 3 or 0.255 times the mean density of Earth. What is the radius of Earth in exponential form? Circumference of the Earth in Meters This cookie is set by GDPR Cookie Consent plugin. For integration limits of [0,/2], the integrals for rectifying radius and mean radius evaluate to the same result, which, for Earth, amounts to 6,367.4491km (3,956.5494mi). ] But opting out of some of these cookies may affect your browsing experience. K N Measure the angle of the shadow of your meter stick when the sun is overhead and the shadow is smallest, often known as local noon (when the sun is exactly north-south in the sky at its highest point). The Earth can be modeled as a sphere in many ways. Hence, we create models to approximate characteristics of Earths surface, generally relying on the simplest model that suits the need. N 2 degrees. It is 6356. The current best estimate for the mass of the Earth is M = 5.97221024 kg, with a standard uncertainty of 61020 kg (relative uncertainty 104). 6,371 kmEarth / RadiusAccording 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. Measured around the poles, the circumference is 40,007.863 km (24,859.734 mi). Approximating the figure of Earth by an Earth spheroid, the radius ranges from a maximum of nearly 6,378km (3,963mi) (equatorial radius, denoted a) to a minimum of nearly 6,357km (3,950mi) (polar radius, denoted b). Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. To determine the diameter of the earth in metres first multiply the original value by 2. Since the estimate by Eratosthenes, many models have been created. In 200 B.C. So escape velocity = . [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. You can do this, too, by using his method. earthRadius Let us calculate area of earth using this formula area=4x22/76370= 5.110 4. Technology similar to the instruments that are used to survey Earth can also be found all across the solar system. T Solution for the radious of earth is 6378.1 km, which is 2981.1 km greater than the radius of mars. This cookie is set by GDPR Cookie Consent plugin. What is the formula to find radius of Earth? Compute the radius of the Earth using the formula C (circumference) = 2 x pi x r (radius). , and because Earths circumference is the distance around Earth. Video advice: How We Calculated the Radius of Earth. Sun: radius = 696,000 kilometers, 100 times larger. Karren Doll Tolliver holds a Bachelor of English from Mississippi University for Women and a CELTA teaching certificate from Akcent Language School in Prague. cos Therefore, if the earth is taken to be a two dimensional object, its perimeter would be equal to the. nasa.gov. And we divide that by Pi times 9.00 centimeters written as meters so centi is prefix meaning ten times minus two and we square that diameter. "The Earth's mass is about 5.98 10 24 kg". A: . 1. 2a : the bone on the thumb side of the human forearm also : a corresponding part of vertebrates above fishes. Refer to the WGS-84 ellipsoid if a more precise value for its polar radius is needed. E However, other factors such as the rotation of the Earth also contribute to the net acceleration. z Arc length of more general surface curves, such as meridian arcs and geodesics, can also be derived from Earth's equatorial and polar radii. 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. EARTH RADIUS meaning & explanation. Eratosthenes, the ancient Greek scholar is called the father of geography. The cookies is used to store the user consent for the cookies in the category "Necessary". example R = earthRadius (lengthUnit) returns the mean radius of the Earth using the length unit specified by lengthUnit. f [Mass of the earth is 6 x 1024 kg and radius of the earth is 6.4 x 106 m]. When it is measured around the equator, it is40,075 km (approximately, 24,901 miles), whereas, if it measured from the north pole to the south pole it is40,008 km (approximately, 24,860 miles). We also use third-party cookies that help us analyze and understand how you use this website. 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. Hence 1km=10001000m=10m 6. Facts about the earth Since the earth is a sphere, we can measure its diameter and radius. {\displaystyle R_{2}} [ How many meters is the earth? Earths radius is usually given as 6378137 meters (equatorial radius), its flattening is defined as 1/298.257223 (WGS84), and thus its polar radius is calculated as 6356752 meters.However, the av. nasa.gov. 0 4.23 x 10 7 m - 6.37 x 10 6 m . Definition of radius 1 : a line segment extending from the center of a circle or sphere to the circumference or bounding surface. stands for the radius of the Earth. arrow_forward. {\displaystyle {\mathcal {R}}_{\mathrm {pJ} }^{\mathrm {N} }}

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