what is the radius of the earth in meters

Ans. It is 6356.752 km (3949.903 mi) at the poles and 6371.001 km (3958.756 mi) on average. 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). The geoid height can change abruptly due to earthquakes (such as the Sumatra-Andaman earthquake) or reduction in ice masses (such as Greenland).[5]. As the parallels run east and west, places having the same latitude will be due east or due west of each other. What is the radius of the earth in meters? - Answers A: . Last edited on 10 February 2023, at 21:43, International Union of Geodesy and Geophysics, IAU 2006 General Assembly: Result of the IAU Resolution votes, Satellites Reveal A Mystery Of Large Change In Earth's Gravity Field, NASA's Grace Finds Greenland Melting Faster, 'Sees' Sumatra Quake, "Discover-TheWorld.com Guam POINTS OF INTEREST Don't Miss Mariana Trench", "Mean radius, mass, and inertia for reference Earth models", https://en.wikipedia.org/w/index.php?title=Earth_radius&oldid=1138658294, WGS-84 ellipsoid, polar radius of curvature (, WGS-84 ellipsoid, Mean radius of semi-axes (, WGS-84 ellipsoid, Radius of Sphere of Equal Area (, WGS-84 ellipsoid, Radius of Sphere of Equal Volume (, meridional radius of curvature at the equator, This page was last edited on 10 February 2023, at 21:43. where e2 = a2 b2/a2 and A is the surface area of the spheroid. How to Calculate the Circumference of the Earth? N How many miles is a meter in scientific notation? View this answer. 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. Responsibility disclaimer and privacy policy | About Us | Terms & Conditions | Site Map, Scientific discoveries from around the world. On solving the circumference of the earth we get 39,350 kilometres. e [24] Claudius Ptolemy around 150AD gave empirical evidence supporting a spherical Earth,[25] but he accepted the lesser value attributed to Posidonius. Instant free online tool for Earths equatorial radius to meter conversion or vice versa. Earth's surface area is an estimated 510 km2, and about 29% of the area is land while the other 71% consists of water. = [2] {\displaystyle w^{2}=\lambda ,}. {\displaystyle r} You also have the option to opt-out of these cookies. A closed-form solution exists for a spheroid:[14]. where in the first fundamental form for a surface (Equation (112) in[11]): E, F, and G are elements of the metric tensor: r (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? By clicking Accept, you consent to the use of ALL the cookies. However, other factors such as the rotation of the Earth also contribute to the net acceleration. When we rearrange the equation and plug all the numbers in, we find that the mass of the Earth is 5.96 1024 kg. 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). The equatorial radius is most commonly used to calculate the volume of Earth, so as not to leave out any territory. This is the outside layer of the earth and is made of solid rock, mostly basalt and granite. Radius of sun is 695 500 km, so in meters you multiply by 1000. In Eratosthenes case, the distance was 787 kilometers, so for him, the following relation applied: where x = the circumference of the Earth in kilometers. 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. w Since pi is an infinite number, the calculations in Step 6 will be more accurate. As a consequence of this, the polar radius is closer to 6,356.7 kilometers. [2] All three values are about 6,371 kilometres (3,959mi). According to NASA's Goddard Space Flight Center, Earth's radius at the equator is 3,963 miles (6,378 kilometers). How to Find the Radius of the Earth | Sciencing Circumference of the Earth in Meters to the plane tangent at What is the number in scientific notation? 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. The radius of Earth is 6370000 m. Express this measurement in km in scientific notation with the correct number of significant digits. Escape velocity = = 22.4 km/sec. All other parallels of latitude are small circles, each having a radius smaller than that of the earth, i.e. 371 106 m), the bottom unit of length within the Worldwide System of Units (SI). Record the measurements. Its measured round the Equator and round the rods that provide different values. Your email address will not be published. Earth, the third planet from the sun, is one of the most unique celestial bodies in our solar system. Tack one end of a piece of string to the top of the stick. Another global radius is the Earth's rectifying radius, giving a sphere with circumference equal to the perimeter of the ellipse described by any polar cross section of the ellipsoid. 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. Video advice: How We Calculated the Radius of Earth. The bulge have been decreasing, consider 1998 the bulge has elevated, possibly because of redistribution of sea mass via currents. The structure of the Earths upper mantle can be derived from seismic waves. [clarification needed]. Measure Earth's Circumference with a Shadow - Scientific American The WGS84 reference ellipsoid is now just that, a reference ellipsoid (that is, its the ellipsoid used as a reference by GPS and related systems). Q4. to the plane tangent at Area of sphere= 4pier 2. Necessary cookies are absolutely essential for the website to function properly. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. 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). A meter is a meter, no matter what your zoom level is. Solar System Homework #1 Answers - austincc.edu Have your partner do the same in her location at the exact same time. This length is also used as a unit of distance, especially in astronomy and geology, where it is usually denoted by R. b) Calculate the surface free-fall acceleration. How to Calculate the Force of Gravity on the Earth's Surface - dummies The mass of the sun is $329,320$ times that of the earth and | Quizlet 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. He also shares personal stories and insights from his own journey as a scientist and researcher. Learn what is circumference of a sphere, how to calculate the circumference of the Earth with the help of solved examples. Solving for x reveals the circumference to be. By knowing the Equatorial diameter or the polar diameter of the Earth, the circumference can be found. What is the formula of radius of nucleus? 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. The radius of the earth is 6371 km. The cases below considers Earth's topography, above or below a reference ellipsoid. 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. 7564mi). As such, they are topographical geocentric distances, Rt, which depends not only on latitude. More than 2,000 years ago Eratosthenes compared the position of the Suns rays in two locations to calculate the spherical size of the Earth with reasonable accuracy. When it's closest, the Moon is 225,623 miles away. What is the radius of the earth in physics? [Updated!] (C = 2r) With this information, Eratosthenes inferred that the Earths radius was 6366 km. for an oblate spheroid, the curvatures are. Radius of the earth in meters - AssignmentGeek 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. 191 mi) at the equator. , {\displaystyle K=\kappa _{1}\,\kappa _{2}={\frac {\det \,B}{\det \,A}}} Go farther. Added 2022-02-06 15:04:59 subject Physics by rsa072001. 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". Overview | Asteroids - NASA Solar System Exploration a) Calculate the average density of the white dwarf. In a geocentric ellipsoid, the center of the ellipsoid coincides with some computed center of Earth, and best models the earth as a whole. Estimates of the accuracy of Eratosthenes's measurement range from 0.5% to 17%. So, for him the following relationship between objects will apply: 7.2 / 360 = 787 / x. These cookies will be stored in your browser only with your consent. Analytical cookies are used to understand how visitors interact with the website. This cookie is set by GDPR Cookie Consent plugin. New Arrivals Expand Space Stations Crew to 6. ) is the distance from the center of Earth to a point on or near its surface. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". [9] Aristotle (384-322 BC) was among the first to recognize the fact of our planet being a round sphere. . The radius of orbit indicates the distance that the satellite is from the center of the earth. While carbon dioxide gas is invisible, the very cold gas , Turbines produce noise and alter visual aesthetics. How do you use the Pythagorean Theorem to find the radius of the earth? It is the only planet in our solar system that sustains life and it is the planet that we can call our own. to have an oblate spheroid, the curvatures are. ] | Circumference of Earth is the length or the distance around the Earth. Solved: The Size of the Earth The radius of the Earth is appro - Chegg Since Earth is roughly spherical, calculating its volume is relatively simple. University of Texas: Eratosthenese Finds Diameter of Earth, Partner in a distant location on about the same longitude or in the same time zone. In 1993 the WGS84 governing committee voted, with one exception, to retain the 1984 defining values, despite improvements to those defining values. 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. 149597870700 meters nearly This is 10-sd (significant digits) approximation. So if you measure at 11:00am in New York, they should measure at 9:00am in Colorado because of the time difference. The formula for the volume of a sphere is V = 4/3 r. Unless you know indoor location is available inside the geofence, assume that Wi-Fi . Our descriptions of Earth's surface must be simpler than reality in order to be tractable. Please enter the latitude in decimal degrees, here you can convert coordinates. This section describes the common ways. Surface Gravity Metric: 9.80665 m/s 2 English: 32.041 ft/s 2 Escape Velocity Metric: 40,284 km/h English: 25,031 mph Scientific Notation: 1.119 x 10 4 m/s Sidereal Rotation Period 0.99726968 Earth Days 23.934 Hours Surface Temperature Metric: -88/58 (min/max) C English: -126/136 (min/max) F Scientific Notation: 185/331 (min/max) K When identifying the position of an observable location, the use of more precise values for WGS-84 radii may not yield a corresponding improvement in accuracy. Also a photographer, she records adventures by camera, combining photos with journals in her blogs. r The equatorial radius of Earth is actually 6,378.1 kilometers. {\displaystyle F=f=0} 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 physical radius, the distance from the center of the earth to the ellipsoid is the least used. 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 [d] It is also common to refer to any mean radius of a spherical model as "the radius of the earth". Earth's volume is estimated at 1 trillion cubic kilometers. 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. 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. How does the mass of earth be calculated? - Ox Science [13], The authalic radius Chapter P, Problem 13E is solved. What is the permiter of the Earth? This cookie is set by GDPR Cookie Consent plugin. This is the radius that Eratosthenes measured in his arc measurement. N 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. One reason that our program is so strong is that our . Most experts think planet Earth can support about 10 billion people, and that when our population reaches that number, it will start to decline. Using the parameters from WGS84 ellipsoid of revolution, a = 6,378.137 km and b = 6,356.7523142km, V = 1.083211012km3 (2.59881011cumi). How do you express the earths diameter in scientific notation? = Use the protractor to measure the angle where the string meets the stick at the top. 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). a) The radius of the earth is 4000 miles. How Big Is Planet Earth? - WorldAtlas 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". R Because these measurements are not done with more sensitive equipment, the radius calculation will be only approximate. When he's not busy exploring the mysteries of the universe, George enjoys hiking and spending time with his family. [Mass of the earth is 6 x 1024 kg and radius of the earth is 6.4 x 106 m]. 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. This is roughly 6,371 kilometers (km) or 3,960 statute miles. {\displaystyle n={\frac {N}{|N|}}} 1999. 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. So escape velocity of the planet will be 22.4 km/sec The radius of a parallel of latitude is given by The cookie is used to store the user consent for the cookies in the category "Other. What Is The Radius Of Earth In Meters | Science - Science-Atlas.com Now we know 2 things- 1. 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. You can do this, too, by using his method. 1. 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. Thus, the radius of the earth in meters in scientific notation is 6.371106m. The value for the polar radius in this section has been rounded to the nearest 0.1m, which is expected to be adequate for most uses. How do you find the radius of a planet in physics? What is radius of Earth in gravitation Class 9? International Space Station Facts and Figures | NASA This calculated value became a defining value in 1993. What is the radius of Earth in gravitation? He studied in Athens at the Lyceum. Wittenberg is a nationally ranked liberal arts institution with a particular strength in the sciences. 2 The planet's rotation causes it to bulge at the equator. p 5.98 10 24 kg. , George has always been passionate about physics and its ability to explain the fundamental workings of the universe. How do you find the radius of the Earth using trigonometry? The equatorial circumference is simply the circle perimeter: Ce=2a, in terms of the equatorial radius, a. The topographical mean geocentric distance averages elevations everywhere, resulting in a value 230m larger than the IUGG mean radius, the authalic radius, or the volumetric radius. [27] However, the 1492 enactment of that voyage brought his fleet to the Americas. J It is 6356. Since the estimate by Eratosthenes, many models have been created.