Necessary cookies are absolutely essential for the website to function properly. Could E.T. 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! The radius of the Earth is 6371 km. N and However, Earth is not quite a sphere. Example 2. r 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 Just how much is really a trillion in scientific notation? {\displaystyle {\frac {\partial r}{\partial \lambda }}} 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 7.2 degrees. The information were posted by senior high school classes all over the US, plus some in Canada and Mexico, employed in pairs. Step 2 of 5. The diameter is the distance from side to side, if you. What is the biggest problem with wind turbines? In astronomy, the International Astronomical Union denotes the nominal equatorial Earth radius as The equatorial circumference is simply the circle perimeter: Ce=2a, in terms of the equatorial radius, a. [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. 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. ), In geophysics, the International Union of Geodesy and Geophysics (IUGG) defines the Earth's arithmetic mean radius (denoted R1) to be[2], The factor of two accounts for the biaxial symmetry in Earth's spheroid, a specialization of triaxial ellipsoid. How do you find the radius of a planet in physics? r The equatorial radius is most commonly used to calculate the volume of Earth, so as not to leave out any territory. 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 . = c) Calculate the gravitational potential energy associated with a 4.93-kg object at the These values correspond to the zero Earth tide convention. = 6,356.8km (3,949.9mi). 06. 371 106 meters (Earth radius 6. He also shares personal stories and insights from his own journey as a scientist and researcher. The nominal radius serves as a unit of length for astronomy. 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). r = 39350/ 6.28 = 6267 kilometer. The various radii derived here use the notation and dimensions noted above for the Earth as derived from the WGS-84 ellipsoid;[6] namely. Now that the radius of orbit has been found, the height above the earth can be calculated. 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. Solution for the radious of earth is 6378.1 km, which is 2981.1 km greater than the radius of mars. 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. Through derivation, we find a logical connection between a natural phenomenon and a mathematical description of that phenomenon. 1 When it's closest, the Moon is 225,623 miles away. These cookies track visitors across websites and collect information to provide customized ads. The majority of the data posted was remarkably good, stated Jennifer Fischer, the APS project leader. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. [2] All three values are about 6,371 kilometres (3,959mi). For a perfect sphere without any mountains, the distance d from a transmitting antenna to the horizon or the line of sight, or radio horizon, can be calculated from the Pythagorean theorem (see the picture above):. 371 106 m), the bottom unit of length within the Worldwide System of Units (SI). This difference is the geoid height, positive above or outside the ellipsoid, negative below or inside. 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). This quantity is denoted variously as . The answer would be 695 500 000 m. Wiki User. This cookie is set by GDPR Cookie Consent plugin. That's between 28 and 29 Earths. 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. 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. 6.371 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. arrow_forward. Earths Equatorial Radius to Meter Conversion Table, How to Convert Earths Equatorial Radius to Meter, Convert Earths Equatorial Radius to Other Length Units. 2 state. The orbit of Earth ranges from 1.47 to 1.52 x 10 11 meters from the Sun. 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. What is the fluid speed in a fire hose with a 9.00 cm diameter carrying 80.0 l of water per second? Derived quantities: diameter, circumference, arc-length, area, volume, There is no single center to the geoid; it varies according to local. cos , A The radius of the earth is the straight distance from the earth's center to a point on its surface. E Note that this arc is along a great circle. (clarification needed). also corresponds to the radius of (global) mean curvature, obtained by averaging the Gaussian curvature, West can be exchanged for east in this discussion. Additionally, the bulge at the equator shows slow variations. 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. r = m v 2 F c . Sun: radius = 696,000 kilometers, > 100 occasions bigger. nasa.gov. The radius is more like 6,371 kilometers at the north and south poles. {\displaystyle r} [ After completing his doctoral studies, he decided to start "ScienceOxygen" as a way to share his passion for science with others and to provide an accessible and engaging resource for those interested in learning about the latest scientific discoveries. Andrew Blum gives some tips that could students in the high-school class in Clinton, Mississippi because they focus on the Eratosthenes project. T This cookie is set by GDPR Cookie Consent plugin. 001 km (3958. Go farther. It is with the values I gave you. 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 , Earth's volume, or that of the reference ellipsoid, is V = 4/3a2b. So, radius of nth orbit is rn=rn2, as Z=1 for H atom. 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). At the equator, = 0 and this arc length = 111.32 km, nearly. These cookies will be stored in your browser only with your consent. 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 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. For Earth, the arithmetic mean radius is 6,371.0088km (3,958.7613mi). 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). We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. {\displaystyle w^{2}=\lambda ,}. The radius of the earth's orbit is 45,000,000 meters. For the WGS84 ellipsoid, that's respectively: Earth's circumference equals the perimeter length. Using the parameters from WGS84 ellipsoid of revolution, a = 6,378.137 km and b = 6,356.7523142km, V = 1.083211012km3 (2.59881011cumi). So escape velocity of the planet will be 22.4 km/sec The physical radius, the distance from the center of the earth to the ellipsoid is the least used. are tangents to the surface. Hence, we create models to approximate characteristics of Earth's surface, generally relying on the simplest model that suits the need. The meridional mean is well approximated by the semicubic mean of the two axes,[citation needed]. w At the equator, the radius of Earth is 3963 miles (Diameter = 7926 miles). = 2 The bulge have been decreasing, consider 1998 the bulge has elevated, possibly because of redistribution of sea mass via currents. 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. Your partner should measure at the same time, regardless of time difference. K What physical measurement / elevation is used to define Earths radius? 1 {\displaystyle F=f=0} 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. 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). 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. = Have Bugged an area Rock to pay attention In on Earthlings? (C = 2r) With this information, Eratosthenes inferred that the Earths radius was 6366 km. y Earth, as we know now, is an oblate spheroid, as shown in the above figure. + It has an average density of 5.5 g/cm3. Nowadays there are better ellipsoids when it comes to supplying a much better fit to mean ocean level compared to WGS84 ellipsoid. The Earths equatorial radius to meter (m) conversion table and conversion steps are also listed. Earth's diameter is simply twice Earth's radius; for example, equatorial diameter (2a) and polar diameter (2b). Video advice: How Eratosthenes discovered the radius of the earth. , Does Wittenberg have a strong Pre-Health professions program? 2 degrees. Physics, 22. R [24] Claudius Ptolemy around 150AD gave empirical evidence supporting a spherical Earth,[25] but he accepted the lesser value attributed to Posidonius. The following radii are derived from the World Geodetic System 1984 (WGS-84) reference ellipsoid. Also a photographer, she records adventures by camera, combining photos with journals in her blogs. b) Calculate the surface free-fall acceleration. Answer (1 of 3): First of all let us consider the shape of the earth to be a sphere. You can do this, too, by using his method. is normal to the surface at The radius of the earth is 6371 km. 2 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. Chapter P, Problem 13E is solved. e 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.