what is the radius of the earth in meters

What is velocity of bullet in the barrel? 903 mi) at the poles and 6371. 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 Our descriptions of Earths surface must be simpler than reality in order to be tractable. Above we see an object with mass m attached to a spring. What is the biggest problem with wind turbines? 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). 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. What is the scientific name for Earth? (clarification needed). r Its mean density is 1410 kg/m 3 or 0.255 times the mean density of Earth. 0008km (3,958. These cookies ensure basic functionalities and security features of the website, anonymously. N We know that the acceleration due to gravity is equal to 9.8 m/s2, the Gravitational constant (G) is 6.673 1011 Nm2/kg2, the radius of the Earth is 6.37 106 m, and mass cancels out. a) The diameter of the earth is approximately 1.276 1 0 7 1.276 \times 10^7 1.276107 m in scientific notation. We also use third-party cookies that help us analyze and understand how you use this website. Earth radius at sea level is 6378.137 km (3963.191 mi) at the equator. A How much is a trillion in scientific notation? According to Newtons second law of motion, the acceleration of an object equals the net force acting on it divided by its mass, or a = F m . This video will show you how Eratosthenes calculated the circumference and radius of the Earth in 240 BC!! Learn what is circumference of a sphere, how to calculate the circumference of the Earth with the help of solved examples. Its the only planet with life. = The bulge have been decreasing, consider 1998 the bulge has elevated, possibly because of redistribution of sea mass via currents. The planet's rotation causes it to bulge at the equator. Eastwest directions can be misleading. The circumference of the Earth depends on how it is measured. This cookie is set by GDPR Cookie Consent plugin. The radius of the Earth, re, is about 6.38 10 6 meters, and the mass of the Earth is 5.98 10 24 kilograms. Our Planet radius is really a unit of distance utilized in astronomy and geology. This table summarizes the accepted values of the Earth's radius. 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. {\displaystyle {\mathcal {R}}_{\mathrm {pE} }^{\mathrm {N} }} Facts about the earth Since the earth is a sphere, we can measure its diameter and radius. The corresponding radius of curvature depends on the location and direction of measurement from that point. N . The distance to the centre of the Earth has been taken as the volumetric mean radius of the Earth: 6,371km. In general, this points to an important conclusion about nature itself. Ocean Worlds Resources. Yes! In astronomy, the International Astronomical Union denotes the nominal equatorial Earth radius as There are two principal radii of curvature: along the meridional and prime-vertical normal sections. 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. Today we know our planet's circumference is roughly 40,000 kilometers (24,850 miles). Literature guides . find the radius of mars. Aristotle (384-322 BC) was among the first to recognize the fact of our planet being a round sphere. It is possible to combine the principal radii of curvature above in a non-directional manner. Scholars have interpreted Aristotle's figure to be anywhere from highly accurate[20] to almost double the true value. arrow_forward. Video advice: What is EARTH RADIUS? Given you're looking for a simple formula, this is probably the simplest way to do it, assuming that the Earth is a sphere with a circumference of 40075 km. Record the distance between your location and your partners location. => When indoor location is available, the accuracy range can be as small as 5 meters. What are the formula in calculating the earth? The geocentric radius is the distance from the Earth's center to a point on the spheroid surface at geodetic latitude : where a and b are, respectively, the equatorial radius and the polar radius. Required fields are marked *. [21] The first known scientific measurement and calculation of the circumference of the Earth was performed by Eratosthenes in about 240BC. to have an oblate spheroid, the curvatures are. Find the volume of Earth in cubic meters. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. [ is the unit normal to the surface at The WGS84 ellipsoid can be used worldwide (such as the ridiculously over-precise flattening value). Earths rotation, internal density variations, and external tidal forces cause its shape to deviate systematically from a perfect sphere. The magnitude of the gravitational force between earth and an object is given by the formula. The other two are the radii of curvature. , For Earth, the volumetric radius equals 6,371. 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. The orbit of Earth ranges from 1.47 to 1.52 x 10 11 meters from the Sun. Reviving Erastosthenes, 2022-year-old experiment using the angle of the sun to measure the radius of the Earth. (b) Repeat part (a) with the sun in place 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. The cookie is used to store the user consent for the cookies in the category "Other. , Therefore, the difference was 7.2 degrees. In 200 B.C. r . 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 Earth radius at sea level is 6378. mpanderla95. T he circumference of the Earth (around the equator) is approximately 24,887 miles. 1 Earth Radius by Latitude Calculator Calculates radius and diameter of the Earth for a given latitude. The standard English name of the planet, including in science, is Earth. Earth's rotation, internal density variations, and external tidal forces cause its shape to deviate systematically from a perfect sphere. The Earths circumference is approximately 40,000,000 meters. \text{Circumference} = 39,350 \text{\ kilometers}. b : the third and usually largest vein of an insect's wing. 2 7564mi). Each of the models in common use involve some notion of the geometric radius. View this answer. How far is the center of the Earth in KM? {\displaystyle e} {\displaystyle r=[r^{1},r^{2},r^{3}]^{T}=[x,y,z]^{T}} K The radius of a parallel of latitude is given by Earth radius conversions Convert Earth radius to other length and distance measurement units using a free online calculator for length/distance unit conversions. Solving for x reveals the circumference to be. Escape velocity = = 22.4 km/sec. This cookie is set by GDPR Cookie Consent plugin. Your partner should measure at the same time, regardless of time difference. 01 Earths equatorial radius63781. det An international crew of seven people live and work while traveling at a speed of five miles per second, orbiting Earth about every 90 minutes. 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. 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. 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. Surveyors today use a variety of instruments and calculations to determine the size of the Earth and collect other relevant data. 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. ( Eratosthenes estimated Earth's circumference at about 46,250 kilometers (28,735 miles). {\displaystyle F=f=0} 0 Its SIunit is m/s2. , Through derivation, we find a logical connection between a natural phenomenon and a mathematical description of that phenomenon. , 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". Thus, the surface of the earth at the equator moves at a speed of 460 meters per secondor roughly 1,000 miles per hour. Note that this arc is along a great circle. As satellite remote sensing and especially the Global Positioning System gained importance, true global models were developed which, while not as accurate for regional work, best approximate the Earth as a whole. Radius of sun is 695 500 km, so in meters you multiply by 1000. Let us calculate area of earth using this formula area=4x22/76370= 5.110 4. 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. Sun: radius = 696,000 kilometers, > 100 occasions bigger. 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. 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. This value is between 6,378 km, particularly around the equator and about 6,357 km at the poles. 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. Area of sphere= 4pier 2. On solving the circumference of the earth we get 39,350 kilometres. He received his Ph.D. in physics from the University of California, Berkeley, where he conducted research on particle physics and cosmology. w Historically, these models were based on regional topography, giving the best reference ellipsoid for the area under survey. The International Union of Geodesy and Geophysics (IUGG) provides three reference values: the mean radius (R1) of three radii measured at two equator points and a pole; the authalic radius, which is the radius of a sphere with the same surface area (R2); and the volumetric radius, which is the radius of a sphere having the same volume as the ellipsoid (R3). What is the radius of Earth in exponential form? , over the surface of the ellipsoid. Her latest book, "A Travel for Taste: Germany," was published in 2015. He was the first one to use the word geography and he also had a small-scale notion of the planet that helped him to determine the circumference of the earth. arrow_forward. [7] Additional discrepancies caused by topographical variation at specific locations can be significant. What is the formula of radius of nucleus? What does EARTH RADIUS mean? 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 total mass of all the asteroids combined is less than that of Earth's Moon. (a) Local topography increases the variance, resulting in a surface of profound complexity. 2 Has got the radius of Earth mysteriously grown by about 3%? The radius is more like 6,371 kilometers at the north and south poles. Its "up" direction there is shown with a black segment: it is, by definition, perpendicular to the ellipse at that point. Make sure both sticks are perpendicular to the earth and that the same length of stick protrudes from the ground. How far (in meter) does it travel in the first 3 seconds? The meridional mean is well approximated by the semicubic mean of the two axes,[citation needed]. Earth's surface area is an estimated 510 km2, and about 29% of the area is land while the other 71% consists of water. {\displaystyle R_{2}} When the Moon is the farthest away, it's 252,088 miles away. Its nice to determine that measurements taken by a lot of groups, sometimes in under ideal conditions, came so near to the right answer. 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. Convert the Earth-Sun distance of 93,000,000 miles into. Record the distance between your location and your partners location. about 6,367.445km (3,956.547mi), can also be used. However, other factors such as the rotation of the Earth also contribute to the net acceleration. Also a photographer, she records adventures by camera, combining photos with journals in her blogs. So, for him the following relationship between objects will apply: 7.2 / 360 = 787 / x. Now we know 1km=1000m 5. Do NOT follow this link or you will be banned from the site! 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. If one point had appeared due east of the other, one finds the approximate curvature in the eastwest direction. Eratosthenes' methods result in a formula that would look like this: 39,350 = 2 x 3.14 x r, or 6,267 kilometers. Initially, the idea of a reference ellipsoid was an ellipsoid that best approximated mean ocean level. 371 106 meters (Earth radius 6. Example 2. This cookie is set by GDPR Cookie Consent plugin. Earth's rocky mantle and metallic core make it the densest planet, at 5.513 grams per cubic centimeter. We must convert the radius into centimeters: R Moon = 1738 km X (1000m / km) X (100cm / m) = 1.738 X 10 8 cm. A few definitions yield values outside the range between polar radius and equatorial radius because they include local or geoidal topography or because they depend on abstract geometrical considerations. . 6 m0. Its better to have a reference ellipsoid that is constant over time than it is to have an ever improving best fit ellipsoid. 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). 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. Mathematically, Earth is a spheroid. Thus, the radius of the earth in meters in scientific notation is 6.371106m. (C = 2r) With this information, Eratosthenes inferred that the Earths radius was 6366 km. Obviously, nobody is claiming how big Earth has really altered. nasa.gov. The model is rotated in a wind tunnel at a rotational speed of 500 rev/minrev/min. A cylinder has a radius of 8 meters. K Since the locations are points on a circle that goes around the Earth, the distance between them can be expressed as an arc measurement on a 360-degree circle. Enchanted Learning. By clicking Accept, you consent to the use of ALL the cookies. Now we know 2 things- 1. What physical measurement / elevation is used to define Earths radius? So escape velocity = . However, Earth is not quite a sphere. 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 This idea predates satellite-based geodesy by centuries. As an example, we will use Eratosthenes measurements. While specific values differ, the concepts in this article generalize to any major planet. But opting out of some of these cookies may affect your browsing experience. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". The radius of the sun at 696,000 km is 109 times the Earth's radius. This calculated value became a defining value in 1993. Earth, on the other hand, isn't quite a sphere. Around 100BC, Posidonius of Apamea recomputed Earth's radius, and found it to be close to that by Eratosthenes,[23] but later Strabo incorrectly attributed him a value about 3/4 of the actual size. What is the formula to find radius of Earth? Eratosthenes was born around 276 B.C., which is now Shahhat, Libya. This answer is: z What is the number in scientific notation? {\displaystyle p=N\cos(\varphi )} Technology similar to the instruments that are used to survey Earth can also be found all across the solar system. What is the radius of the parallel of latitude? 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. Most experts think planet Earth can support about 10 billion people, and that when our population reaches that number, it will start to decline. m. 6.371 10 6 m . The physical radius, the distance from the center of the earth to the ellipsoid is the least used. The radius of the Earth is 6371 km. 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! Its surface gravity is 274 m/s 2 or 28.0 times that of the Earth. What is the radius of the earth? Earths Equatorial Radius to Meter Conversion TableEarths Equatorial RadiusMeter (m)0. Drive one of the meter sticks into the ground in your location in a sunny spot. The circumference of the world measured round the Equatoris approximtely 24,887. nasa.gov. T The red dot at the lower left corner is its center. You also have the option to opt-out of these cookies. 2. 001 km (3958. 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. Record the measurements. R=6370 3. | 1 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. [d] It is also common to refer to any mean radius of a spherical model as "the radius of the earth". = 6,356.8km (3,949.9mi). 756 mi) on average. The Earth's Gaussian radius of curvature at latitude is:[12]. Eratosthenes, the ancient Greek scholar is called the father of geography. N earthRadius There are two types of crust; oceanic and continental. 2019 11:40, yfnal3x. = The following radii are derived from the World Geodetic System 1984 (WGS-84) reference ellipsoid. In late August of 2003, Mars was at its closest point to Earth in about 60,000 years! B These cookies will be stored in your browser only with your consent. Definition of radius 1 : a line segment extending from the center of a circle or sphere to the circumference or bounding surface. January 2023: The Next Full Moon is the Wolf or Ice Moon. (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? The IUGG denotes the authalic radius as R2. The mathematical expressions above apply over the top of ellipsoid. Thus, the surface of the earth at the. and Earth, as we know now, is an oblate spheroid, as shown in the above figure. How do you find the radius of a planet in physics? The first published reference to the Earth's size appeared around 350BC, when Aristotle reported in his book On the Heavens[19] that mathematicians had guessed the circumference of the Earth to be 400,000 stadia. {\displaystyle K=\kappa _{1}\,\kappa _{2}={\frac {\det \,B}{\det \,A}}} 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):. First week only $6.99! After completing his degree, George worked as a postdoctoral researcher at CERN, the world's largest particle physics laboratory. is the eccentricity of the earth. Rather, elevation above or below sea level is useful. The recent Juno mission launched with the goal of examining Jupiters composition and underlying structure, the wikipedia article on the Juno spacecraft provides an a great overview of this type of process. Earth radius Conversion conversion table Earth radius to Meters Conversion Table Meters [ m ] are tangents to the surface. It is with the values I gave you. The information were posted by senior high school classes all over the US, plus some in Canada and Mexico, employed in pairs. "The Earth's mass is about 5.98 10 24 kg". University of Texas: Eratosthenese Finds Diameter of Earth, Partner in a distant location on about the same longitude or in the same time zone. His highly influential work, the Almagest,[26] left no doubt among medieval scholars that Earth is spherical, but they were wrong about its size. Measured around the poles, the circumference is 40,007.863 km (24,859.734 mi). = Circumference of the Earth in Meters The Magellan expedition (15191522), which was the first circumnavigation of the World, soundly demonstrated the sphericity of the Earth,[28] and affirmed the original measurement of 40,000km (25,000mi) by Eratosthenes. The mathematical expressions above apply over the surface of the ellipsoid. 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. x As a consequence of this, the polar radius is closer to 6,356.7 kilometers. So, its circumference varies depending on how you calculate it.

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