what is the radius of the earth in meters

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). Using the parameters from WGS84 ellipsoid of revolution, a = 6,378.137 km and b = 6356.7523142km, V = 1.083211012km3 (2.59881011cumi).[17]. 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 First of NASA's SunRISE SmallSats Rolls Off Production Line. The distance between locations are also part of the total circumference of the Earth. Created by Sal Khan and Monterey Institute for Technology and Education. = 2 degrees. What is the scientific name for Earth? 2013-09-16 00:47:38. 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. Earth, on the other hand, isn't quite a sphere. Earth's polar radius is 3950 miles (Diameter = 7900 miles). There are two principal radii of curvature: along the meridional and prime-vertical normal sections. 001 km (3958. Its better to have a reference ellipsoid that is constant over time than it is to have an ever improving best fit ellipsoid. [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. By knowing the Equatorial diameter or the polar diameter of the Earth, the circumference can be found. {\displaystyle R_{2}} Andrew Blum gives some tips that could students in the high-school class in Clinton, Mississippi because they focus on the Eratosthenes project. 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. A The nominal radius serves as a unit of length for astronomy. This length is also used as a unit of distance, especially in astronomy and geology, where it is usually denoted by R. N Drive one of the meter sticks into the ground in your location in a sunny spot. The typical radius of the world is roughly 6. Ocean Worlds Resources. 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. At Baltimore, = 39.48o and the length is 111.16 km, nearly. By clicking Accept, you consent to the use of ALL the cookies. which differs from the exact result by less than 1m (4105in); the mean of the two axes. The other two are the radii of curvature. and Your email address will not be published. How many meters is the earth? Explore Asteroids In Depth Key Science Targets At what distance above the surface of earth, the gravitational force will be reduced by 10%, if the radius of earth is 6370 Km. Measurement of Earths circumference has been important to navigation since ancient times. The structure of the Earths upper mantle can be derived from seismic waves. B The cookie is used to store the user consent for the cookies in the category "Performance". Technology similar to the instruments that are used to survey Earth can also be found all across the solar system. 2019 11:40, yfnal3x. In Eratosthenes case, the distance was 787 kilometers, so for him, the following relation applied: where x = the circumference of the Earth in kilometers. If one point had appeared due east of the other, one finds the approximate curvature in the eastwest direction. to the plane tangent at What is the number in scientific notation? 0008km (3,958. , Does Wittenberg have a strong Pre-Health professions program? Hence, we create models to approximate characteristics of Earths surface, generally relying on the simplest model that suits the need. , which is defined to be 6,378.1km (3,963.2mi). , 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). How cold is it on moon? The dashed line designates the radius to one point on the surface. 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. [a] Local topography increases the variance, resulting in a surface of profound complexity. At the poles, = 90o and the length = 110.95 km, nearly. Earth radius is the distance from Earth's center to its surface, about 6,371 km (3,959 mi). 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. 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). Other ways to define and measure the Earth radius involve the radius of curvature. What is the radius of the earth? 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". {\displaystyle r} wikipedia article on the Juno spacecraft provides an a great overview of this type of process. less than 6400 km. [13], Earth's authalic radius (meaning "equal area") is the radius of a hypothetical perfect sphere that has the same surface area as the reference ellipsoid. 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). The physical radius, the distance from the center of the earth to the ellipsoid is the least used. Hence 1km=10001000m=10m 6. [ In the third century B.C., Eratosthenes, a Greek mathematician, became the first person to mathematically calculate the diameter of the earth by comparing differences in the angle of the suns rays at two separate geographic points. How do you solve for radius and diameter? f New Arrivals Expand Space Stations Crew to 6. 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. Earth radius conversions Convert Earth radius to other length and distance measurement units using a free online calculator for length/distance unit conversions. Eratosthenes' methods result in a formula that would look like this: 39,350 = 2 x 3.14 x r, or 6,267 kilometers. For information on the Earth, see the Earth Fact Sheet. b : the third and usually largest vein of an insect's wing. Solving for x reveals the circumference to be. There are two types of crust; oceanic and continental. = Answer: Starter The radius of the moon is 1,737,000 meters. Like a torus, the curvature at a point will be greatest (tightest) in one direction (northsouth on Earth) and smallest (flattest) perpendicularly (eastwest). (clarification needed). c) Calculate the gravitational potential energy associated with a 4.93-kg object at the N Use a scientific calculator. It is with the values I gave you. 2 These cookies ensure basic functionalities and security features of the website, anonymously. R 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. N 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. = K This cookie is set by GDPR Cookie Consent plugin. As the parallels run east and west, places having the same latitude will be due east or due west of each other. In particular, the Earth's meridional radius of curvature (in the northsouth direction) at is: where These cookies track visitors across websites and collect information to provide customized ads. This value is between 6,378 km, particularly around the equator and about 6,357 km at the poles. Acceleration due to gravity is a vector, which means it has both a magnitudeand a direction. 1o = 180 radian. a) The radius of the earth is 4000 miles. {\displaystyle R_{E}} Examples collapse all Earth Radius in Meters View the mean radius of the Earth using the default units, meters. Does Bohrs model explain radius of an orbit? The tropical radius of the world (or semi-major axis) is all about 6,378 km (3,963 miles or 3,444 maritime miles), as the polar radius of the world (or semi-minor axis) is all about 6,357 km (3,950 miles or 3,432 maritime miles). Tack one end of a piece of string to the top of the stick. We also use third-party cookies that help us analyze and understand how you use this website. 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. Record the distance between your location and your partners location. A meter is a meter, no matter what your zoom level is. 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. 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 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. Thus the curvature found this way is smaller than the curvature of a circle of constant latitude, except at the equator. to have an oblate spheroid, the curvatures are. Have your partner do the same in her location at the exact same time. That's almost 32 Earths. [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. [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. The circumference of the Earth is the length or distance measured around it. 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. 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. 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. In general, this points to an important conclusion about nature itself. MITs Alan , In 2020, as a response to the disruption caused by COVID-19, the College Board modified the AP exams so they were shorter, administered online, covered less material, and had a different format than previous tests. Where K is the Gaussian curvature, As a consequence of this, the polar radius is closer to 6,356.7 kilometers. 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. Ans. This requires an elliptic integral to find, given the polar and equatorial radii: The rectifying radius is equivalent to the meridional mean, which is defined as the average value of M:[14].

Enos New Bedford, Articles W