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

How many meters is the earth? The various radii derived here use the notation and dimensions noted above for the Earth as derived from the WGS-84 ellipsoid;[6] namely. Definition of radius 1 : a line segment extending from the center of a circle or sphere to the circumference or bounding surface. are tangents to the surface. Estimates of the accuracy of Eratosthenes's measurement range from 0.5% to 17%. The space station is 356 feet (109 meters) end-to-end, one yard shy of the full length of an American football field including the end . K Required fields are marked *. Now, lets plug in some numbers. = 6,356.8km (3,949.9mi). Aristotle (384-322 BC) was among the first to recognize the fact of our planet being a round sphere. c) Calculate the gravitational potential energy associated with a 4.93-kg object at the This implies that for a given mass and velocity, a large centripetal force causes a small radius of curvaturethat is, a tight curve, as in (Figure). Since pi is an infinite number, the calculations in Step 6 will be more accurate. Earth's volume is estimated at 1 trillion cubic kilometers. mpanderla95. Scholars have interpreted Aristotle's figure to be anywhere from highly accurate[20] to almost double the true value. [d] It is also common to refer to any mean radius of a spherical model as "the radius of the earth". This cookie is set by GDPR Cookie Consent plugin. As a consequence of this, the polar radius is closer to 6,356.7 kilometers. The magnitude of the gravitational force between earth and an object is given by the formula. The planet's rotation causes it to bulge at the equator. Ocean Worlds Resources. 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! cos Surveyors today use a variety of instruments and calculations to determine the size of the Earth and collect other relevant data. How far (in meter) does it travel in the first 3 seconds? Sun: radius = 696,000 kilometers, 100 times larger. Eratosthenes methods result in a formula that would look like this: 39,350 = 2 x 3.14 x r, or 6,267 kilometers. R=6370 3. where. Responsibility disclaimer and privacy policy | About Us | Terms & Conditions | Site Map, Scientific discoveries from around the world. Earth radius at sea level is 6378. N {\displaystyle p=N\cos(\varphi )} Furthermore, the bulge in the equator shows slow variations. Therefore, the distance you use in the equation is the distance between the two orbiting bodies. 137 km (3963. 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. [clarification needed]. 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. Earth radius to Meters Conversion - Length Measurement | TrustConverter There are two principal radii of curvature: along the meridional and prime-vertical normal sections. This is the outside layer of the earth and is made of solid rock, mostly basalt and granite. How to Find the Radius of the Earth | Sciencing Your email address will not be published. What is the radius of the Moon around the Earth? {\displaystyle e} The Earth is slightly oblate, so its radius in the plane of the equator is a little larger than its radius along the rotational axis. 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. is the eccentricity of the earth. Performance cookies are used to understand and analyze the key performance indexes of the website which helps in delivering a better user experience for the visitors. Reviving Erastosthenes, 2022-year-old experiment using the angle of the sun to measure the radius of the Earth. You also have the option to opt-out of these cookies. In 200 B.C. The typical radius of the world is roughly 6. Where R is the radius of the Earth. Using the following data: the volume of a sphere = (4/3) (pi)R 3 Radius of the earth= 6.3106 m. Mass of earth= 5.9742 10 24 kilograms. [22] For both Aristotle and Eratosthenes, uncertainty in the accuracy of their estimates is due to modern uncertainty over which stadion length they meant. A consequence is that a distance to the true horizon at the equator is slightly shorter in the northsouth direction than in the eastwest direction. 2 7564mi). An arc of 1 radian = the radial distance of the the latitude circle, from. Semi-minor axis b = 6356752.3142 meters. det where e2 = a2 b2/a2 and A is the surface area of the spheroid. These values correspond to the zero Earth tide convention. He received his Ph.D. in physics from the University of California, Berkeley, where he conducted research on particle physics and cosmology. Earths rotation, internal density variations, and external tidal forces cause its shape to deviate systematically from a perfect sphere. Gravitational attraction from the Moon or Sun can cause the Earth's surface at a given point to vary by tenths of a meter over a nearly 12-hour period (see Earth tide). Measured around the poles, the circumference is 40,007.863 km (24,859.734 mi). The radius R of a nucleus of mass number A can be estimated by the formula R = (1.3 1015)A 1/3 m. 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. , Does Wittenberg have a strong Pre-Health professions program? , Additionally, the radius can be estimated from the curvature of the Earth at a point. What is the Circumference of the Earth? Calculation, Examples Compute the circumference of the Earth using the distance and angle measurements you have. The bulge have been decreasing, consider 1998 the bulge has elevated, possibly because of redistribution of sea mass via currents. 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. By knowing the Equatorial diameter or the polar diameter of the Earth, the circumference can be found. Earth's polar radius is 3950 miles (Diameter = 7900 miles). Solving for x reveals the circumference to be. When we rearrange the equation and plug all the numbers in, we find that the mass of the Earth is 5.96 1024 kg. Created by Sal Khan and Monterey Institute for Technology and Education. N At what distance above the surface of earth, the gravitational force will be reduced by 10%, if the radius of earth is 6370 Km. At the equator, = 0 and this arc length = 111.32 km, nearly. The typical Earth radius (RE) can also be comparable to about 6,371 kilometers (km) (an SI unit of length), or 3,440 maritime miles (nmi) (a maritime unit of length), or roughly 3,959 miles (mi) or 20,902,231 ft (foot), that are US customary / Imperial units of length. [Mass of the earth is 6 x 1024 kg and radius of the earth is 6.4 x 106 m]. The first person to determine the size of Earth was Eratosthenes of Cyrene, who produced a surprisingly good measurement using a simple scheme that combined geometrical calculations with physical observations. Note that the dimensions of h, R and d must be . What is the Radius and Diameter of a Circle? Our descriptions of Earths surface must be simpler than reality in order to be tractable. 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. This video will show you how Eratosthenes calculated the circumference and radius of the Earth in 240 BC!! ] The cookie is used to store the user consent for the cookies in the category "Performance". 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 first and second radii of curvature correspond, respectively, to the Earth's meridional and prime-vertical radii of curvature. N K So escape velocity = . Eratosthenes' methods result in a formula that would look like this: 39,350 = 2 x 3.14 x r, or 6,267 kilometers. Point B, which appears due east from A, will be closer to the equator than A. With state. The height above sea level of the location is added. [2] All three values are about 6,371 kilometres (3,959mi). 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. The value for the equatorial radius is defined to the nearest 0.1m in WGS-84. Let us calculate area of earth using this formula area=4x22/76370= 5.110 4. Thus, the radius of the earth in meters in scientific notation is 6.371106m. In a geocentric ellipsoid, the center of the ellipsoid coincides with some computed center of Earth, and best models the earth as a whole. 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. Do NOT follow this link or you will be banned from the site! This calculated value became a defining value in 1993. Earth radius is the distance from Earth's center to its surface, about 6,371 km (3,959 mi). Facts about the earth Since the earth is a sphere, we can measure its diameter and radius. = [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. Drive one of the meter sticks into the ground in your location in a sunny spot. One can only adopt an idealized model. 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 cookie is set by GDPR Cookie Consent plugin. Go farther. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. The mathematical expressions above apply over the surface of the ellipsoid. 6,371,000 metersThe value, symbolized rearth, is equal to approximately 6,371,000 meters (6.371 x 106 m). = 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. So if you measure at 11:00am in New York, they should measure at 9:00am in Colorado because of the time difference. Answer (1 of 3): First of all let us consider the shape of the earth to be a sphere. How to Calculate the Force of Gravity on the Earth's Surface - dummies The model is rotated in a wind tunnel at a rotational speed of 500 rev/minrev/min. As the parallels run east and west, places having the same latitude will be due east or due west of each other. The cases below considers Earth's topography, above or below a reference ellipsoid. What Is The Circumference Of The Earth? - WorldAtlas Earth radius conversions Convert Earth radius to other length and distance measurement units using a free online calculator for length/distance unit conversions. The cookies is used to store the user consent for the cookies in the category "Necessary". 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). Using the mathematical formula for calculating the volume of a sphere, it has been estimated that the volume of Earth is roughly 259 billion cubic miles. What is the radius of Earth in meters? | Homework.Study.com a) Calculate the average density of the white dwarf. Radius of the earth in meters - AssignmentGeek , For Earth, the volumetric radius equals 6,371. The earth is made up of three different layers: the crust, the mantle and the core. An arc of 1 degree on earth's surface is equal to how many - Socratic When the Moon is the farthest away, it's 252,088 miles away. What is the radius of Moon? - Heimduo Earth's volume, or that of the reference ellipsoid, is V = 4/3a2b. What is the mean radius of the earth is 6370 km. (a) What is - Quora Earth radius (denoted as R or 5.98 10 24 kg. (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? What is the radius of the earth in meters? - Answers Solar System Homework #1 Answers - austincc.edu 001 km (3958. The first person to determine the size of Earth was Eratosthenes of Cyrene, who produced a surprisingly good measurement using a simple scheme that combined geometrical calculations with physical observations. The polar radius of the Earth is 3,950 miles (6,356), which is a 13-mile (22-kilometer) difference. 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. Radio Line of Sight Distance Calculator Electrical, RF and This astronomical observation was confirmed by general observations made at sea. The radius is more like 6,371 kilometers at the north and south poles. . Earth's surface area is an estimated 510 km2, and about 29% of the area is land while the other 71% consists of water. The Earths equatorial radius to meter (m) conversion table and conversion steps are also listed. nasa.gov. 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 The radius of the earth's orbit is 45,000,000 meters. What is the N Acceleration due to gravity - Simple English Wikipedia, the free How to Calculate the Circumference of the Earth? 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. In particular, the Earth's meridional radius of curvature (in the northsouth direction) at is: where Your email address will not be published. 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. 2 earthRadius {\displaystyle w^{2}=\lambda ,}. Record the distance between your location and your partners location. 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". r However, Earth is not quite a sphere. In his writing, Alexander covers a wide range of topics, from cutting-edge medical research and technology to environmental science and space exploration. Mass of the Earth - The Physics Factbook - hypertext-book [ r . r How do you compute the earth's radius at a given geodetic latitude?
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