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

r {\displaystyle e} The equatorial radius is most commonly used to calculate the volume of Earth, so as not to leave out any territory. 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 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. 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 the earth from the circumference? {\displaystyle {\mathcal {R}}_{\mathrm {eE} }^{\mathrm {N} }} So escape velocity = . Note that this arc is along a great circle. , 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). Here x is the circumference of the earth. T he circumference of the Earth (around the equator) is approximately 24,887 miles. Responsibility disclaimer and privacy policy | About Us | Terms & Conditions | Site Map, Scientific discoveries from around the world. What is radius of Earth in gravitation Class 9? [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. This is the radius that Eratosthenes measured in his arc measurement. When it's closest, the Moon is 225,623 miles away. R Earth's polar radius is 3950 miles (Diameter = 7900 miles). He observed lunar eclipses and noticed that only a round sphere could imply a circular shadow. The geoid height can change abruptly due to earthquakes (such as the Sumatra-Andaman earthquake) or reduction in ice masses (such as Greenland).[5]. Instant free online tool for Earths equatorial radius to meter conversion or vice versa. Reviving Erastosthenes, 2022-year-old experiment using the angle of the sun to measure the radius of the Earth. {\displaystyle r=[r^{1},r^{2},r^{3}]^{T}=[x,y,z]^{T}} The Earths circumference is approximately 40,000,000 meters. The various radii derived here use the notation and dimensions noted above for the Earth as derived from the WGS-84 ellipsoid;[6] namely. 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. The Earth's polar radius of curvature (either meridional or prime-vertical) is: The principal curvatures are the roots of Equation (125) in:[11]. Have your partner do the same in her location at the exact same time. The first and second radii of curvature correspond, respectively, to the Earth's meridional and prime-vertical radii of curvature. 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. The geoid height variation is under 110m (360ft) on Earth. (e) For that Earth 1/q 289, that is near to the measured inverse flattening 1/f 298. Sun: radius = 696,000 kilometers, 100 times larger. for the nominal polar Jupiter radius. In astronomy, the International Astronomical Union denotes the nominal equatorial Earth radius as The dashed line designates the radius to one point on the surface. However, Earth is not quite a sphere. [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. 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. This website uses cookies to improve your experience while you navigate through the website. 2 Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. F E stands for the radius of the Earth. We also use third-party cookies that help us analyze and understand how you use this website. It does not store any personal data. Required fields are marked *. The mathematical expressions above apply over the surface of the ellipsoid. Mass of planet M = 8 x mass of earth = 8 x 6 x 10 24 kg. The bulge had been decreasing, but since 1998 the bulge has increased, possibly due to redistribution of ocean mass via currents. This astronomical observation was confirmed by general observations made at sea. Thus, the radius of the earth in meters in scientific notation is 6.371106m. By clicking Accept, you consent to the use of ALL the cookies. Geometrically, the second fundamental form gives the distance from Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. , EARTH RADIUS meaning & explanation. Because these measurements are not done with more sensitive equipment, the radius calculation will be only approximate. . Find the level of Earth in cubic meters. The radius of the earth's orbit is 45,000,000 meters. You also have the option to opt-out of these cookies. If we were to plot this it would show (setting, G = M = m = R = 1, and including force direction): A simple spring oscillator To understand what this means we'll look at a simple spring oscillator. The accelerationwhich is gained by an object because of gravitational forceis called its acceleration due to gravity. Solution for the radious of earth is 6378.1 km, which is 2981.1 km greater than the radius of mars. Since Earth is roughly spherical, calculating its volume is relatively simple. To determine the diameter of the earth in metres first multiply the original value by 2. B In particular, the Earth's meridional radius of curvature (in the northsouth direction) at is: where 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 Estimates of the accuracy of Eratosthenes's measurement range from 0.5% to 17%. George has always been passionate about physics and its ability to explain the fundamental workings of the universe. 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). 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. Eratosthenes methods result in a formula that would look like this: 39,350 = 2 x 3.14 x r, or 6,267 kilometers. Physics, 22. the center.of the Earth. The answer would be 695 500 000 m. Wiki User. N So, its circumference varies depending on how you calculate it. What is the real radius of the earth? , For Earth, the volumetric radius equals 6,371. This video will show you how Eratosthenes calculated the circumference and radius of the Earth in 240 BC!! 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. The following radii are derived from the World Geodetic System 1984 (WGS-84) reference ellipsoid. The earth rotates once every 23 hours, 56 minutes and 4.09053 seconds, called the sidereal period, and its circumference is roughly 40,075 kilometers. It is a physical constant which represents the most probable distance between the electron and the nucleus in a hydrogen atom in its ground state. This is the outside layer of the earth and is made of solid rock, mostly basalt and granite. Record the distance between your location and your partners location. [Mass of the earth is 6 x 1024 kg and radius of the earth is 6.4 x 106 m]. Technology similar to the instruments that are used to survey Earth can also be found all across the solar system. 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. also corresponds to the radius of (global) mean curvature, obtained by averaging the Gaussian curvature, The height above sea level of the location is added. K 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). [ One can only adopt an idealized model. A) 4.5 x 10-7 B) 4.5 x 107 C) 45 x 10-6 D) 45 x 106 Around 1690, Isaac Newton and Christiaan Huygens argued that Earth was closer to an oblate spheroid than to a sphere. At the poles, = 90o and the length = 110.95 km, nearly. . R Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. That's almost 32 Earths. Then convert km - m. 1 km = 1000 m. 12 756 km = ? [21] The first known scientific measurement and calculation of the circumference of the Earth was performed by Eratosthenes in about 240BC. 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. Well, the Moon is not always the same distance away from Earth. Scholars have interpreted Aristotle's figure to be anywhere from highly accurate[20] to almost double the true value.