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

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. 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. N w He received his Ph.D. in physics from the University of California, Berkeley, where he conducted research on particle physics and cosmology. This is roughly 6,371 kilometers (km) or 3,960 statute miles. University of Texas: Eratosthenese Finds Diameter of Earth, Partner in a distant location on about the same longitude or in the same time zone. Could E.T. 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. In scientific notation, the radius of the earth in meters is equal to 6.37106 meters or approximately 6.4106 meters, and 6378100 or approximately 6370000 in standard form. Earth, on the other hand, isn't quite a sphere. The planet bulges at the equator as a result of its rotation. 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. 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. r [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. b : the third and usually largest vein of an insect's wing. In late August of 2003, Mars was at its closest point to Earth in about 60,000 years! Semi-minor axis b = 6356752.3142 meters. Instant free online tool for Earths equatorial radius to meter conversion or vice versa. It is a common misconception that Terra is the internationally-recognized scientific name of the planet, but in reality Earth does not have an official international name. 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 mpanderla95. = PDF Radius of the Earth - Radii Used in Geodesy - Naval Postgraduate School NASA Telescope Takes 12-Year Time-Lapse Movie of Entire Sky. Acceleration due to gravity - Simple English Wikipedia, the free You also have the option to opt-out of these cookies. Its better to have a reference ellipsoid that is constant over time than it is to have an ever improving best fit ellipsoid. In simple words, radius refers to that line, which originates from any point of the circle and touches the centre point the circle. Geometrically, the second fundamental form gives the distance from [2] All three values are about 6,371 kilometres (3,959mi). These cookies ensure basic functionalities and security features of the website, anonymously. The polar radius of the Earth is 3,950 miles (6,356), which is a 13-mile (22-kilometer) difference. It is known that the equatorial radius of the earth is R=6371km R = 6371 k m so, convert the unit of radius using the conversion factor. 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). The radius of the Earth is 6371 km. which differs from the exact result by less than 1m (4105in); the mean of the two axes. What is the radius of Earth in exponential form? . 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. 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. If no sub- or superscripts appear on this page - for example, if the "Mass" is given in units of "(1024 kg)" - you may want to check the notes on the sub- and superscripts. You have to use the distance from the center of the Earth, not the distance above Earth's surface, as the radius. [clarification needed]. h is the transmitting antenna height above the ground,. How to Find the Radius of the Earth? | An Overview - Toppr-guides But opting out of some of these cookies may affect your browsing experience. What is the real radius of the earth? - TeachersCollegesj 149597870700 meters nearly This is 10-sd (significant digits) approximation. in the second fundamental form for a surface (Equation (123) in[11]): e, f, and g are elements of the shape tensor: n = What is the mean radius of the earth is 6370 km. (a) What is - Quora = {\displaystyle {\frac {\partial r}{\partial \varphi }}} If one point had appeared due east of the other, one finds the approximate curvature in the eastwest direction. 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. {\displaystyle r} Since the estimate by Eratosthenes, many models have been created. It has an average density of 5.5 g/cm3. Have your partner do the same in her location. EARTH RADIUS meaning & explanation. Mathematically, Earth is a spheroid. Solution Verified The first and second radii of curvature correspond, respectively, to the Earth's meridional and prime-vertical radii of curvature. Thus, the radius of the earth in meters in scientific notation is 6.371106m. 06. Skip to main content. Sometimes more are aboard the station during a crew handover. Earths circumference is the distance around Earth. Definitions and Formulas. By the Numbers | Earth - NASA Solar System Exploration 2a : the bone on the thumb side of the human forearm also : a corresponding part of vertebrates above fishes. {\displaystyle {\mathcal {R}}_{\mathrm {pJ} }^{\mathrm {N} }} Created by Sal Khan and Monterey Institute for Technology and Education. The first, titled Arturo Xuncax, is set in an Indian village in Guatemala. Record the measurements. [13], The authalic radius 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. Regarding this, what is the diameter of the Earth in scientific notation? A cylinder has a radius of 8 meters. 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 . Note that the dimensions of h, R and d must be . He studied in Athens at the Lyceum. 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. These values correspond to the zero Earth tide convention. 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. 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 did we determine the size of the Earth? Mass (10 24 kg) 5.9722 Volume (10 10 km 3) 108.321 Equatorial radius (km) 6378.137 Polar radius (km) 6356.752 Volumetric mean radius (km) 6371.000 Core radius (km) 3485 Ellipticity (Flattening) 0.003353 Mean density (kg/m 3) 5513 Surface gravity (m/s 2) 9.798 Surface acceleration (m/s 2) 9.780 Escape velocity (km/s) 11.186 GM (x 10 6 km 3 /s 2) The value for the polar radius in this section has been rounded to the nearest 0.1m, which is expected to be adequate for most uses. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. This astronomical observation was confirmed by general observations made at sea. 1999. The height above sea level of the location is added. Q4. Gravity of Earth - Units of Measurement Wiki | Fandom However, Earth is not quite a sphere. [29] To settle the matter, the French Geodesic Mission (17351739) measured one degree of latitude at two locations, one near the Arctic Circle and the other near the equator. 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. , 1. That's between 28 and 29 Earths. {\displaystyle F=f=0} All other parallels of latitude are small circles, each having a radius smaller than that of the earth, i.e. Make sure both sticks are perpendicular to the earth and that the same length of stick protrudes from the ground. where in the first fundamental form for a surface (Equation (112) in[11]): E, F, and G are elements of the metric tensor: r Measured around the Equator, it is 40,075.017 km (24,901.461 mi). , Ans. Answer (1 of 3): First of all let us consider the shape of the earth to be a sphere. {\displaystyle R_{2}} {\displaystyle w^{1}=\varphi } 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. 64miles, whereas, whether it ismeasured round the rods, it isapproximately 24,806 miles. Therefore, the difference was 7.2 degrees. 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. By knowing the Equatorial diameter or the polar diameter of the Earth, the circumference can be found. 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. Because of the Earths rapid rotation, it stretches out the planet; this results in the South pole and North pole actually being slight closer than locations opposite on the equator because the shape of the Earth is not a spheroid (not a perfect sphere). However, around 1730, Jacques Cassini argued for a prolate spheroid instead, due to different interpretations of the Newtonian mechanics involved. The radius of the earth's orbit is 45,000,000 meters. What is the [e] For the Earth .mw-parser-output .sfrac{white-space:nowrap}.mw-parser-output .sfrac.tion,.mw-parser-output .sfrac .tion{display:inline-block;vertical-align:-0.5em;font-size:85%;text-align:center}.mw-parser-output .sfrac .num,.mw-parser-output .sfrac .den{display:block;line-height:1em;margin:0 0.1em}.mw-parser-output .sfrac .den{border-top:1px solid}.mw-parser-output .sr-only{border:0;clip:rect(0,0,0,0);height:1px;margin:-1px;overflow:hidden;padding:0;position:absolute;width:1px}1/q 289, which is close to the measured inverse flattening 1/f 298.257. We also use third-party cookies that help us analyze and understand how you use this website. R Enchanted Learning. r e Your partner should measure at the same time, regardless of time difference. Strictly speaking, spheres are the only solids to have radii, but broader uses of the term radius are common in many fields, including those dealing with models of Earth. Since pi is an infinite number, the calculations in Step 6 will be more accurate. ( The formula for the volume of a sphere is V = 4/3 r. Therefore, if the earth is taken to be a two dimensional object, its perimeter would be equal to the. Earth's surface area is an estimated 510 km2, and about 29% of the area is land while the other 71% consists of water. What is the Radius and Diameter of a Circle? The circumference of the Earth depends on how it is measured. While carbon dioxide gas is invisible, the very cold gas , Turbines produce noise and alter visual aesthetics. {\displaystyle {\mathcal {R}}_{\mathrm {pE} }^{\mathrm {N} }} Thus, the surface of the earth at the. 0 Initially, the idea of a reference ellipsoid was an ellipsoid that best approximated mean ocean level. Other ways to define and measure the Earth radius involve the radius of curvature. Has got the radius of Earth mysteriously grown by about 3%? The adolescent protagonists of the sequence, Enrique and Rosa, are Arturos son and , The payout that goes with the Nobel Prize is worth $1.2 million, and its often split two or three ways. Around 100BC, Posidonius of Apamea recomputed Earth's radius, and found it to be close to that by Eratosthenes,[23] but later Strabo incorrectly attributed him a value about 3/4 of the actual size. This idea predates satellite-based geodesy by centuries. R = earthRadius returns the scalar value 6,371,000, the mean radius of the Earth in meters. The one exception: The flattening in the original definition of WGS84 was a calculated value, based on the Earths second dynamic form factor as determined from satellite orbits ($\bar C_{2,0}$ in WGS84, $J_2$ in GRS80). Mathematics of Satellite Motion - The Physics Classroom 2. Thus, the surface of the earth at the equator moves at a speed of 460 meters per secondor roughly 1,000 miles per hour. Tack one end of a piece of string to the top of the stick. is normal to the surface at 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. 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. Earth's rocky mantle and metallic core make it the densest planet, at 5.513 grams per cubic centimeter. Definition of radius 1 : a line segment extending from the center of a circle or sphere to the circumference or bounding surface. As such, they are topographical geocentric distances, Rt, which depends not only on latitude. How to convert radius in metres to pixels in mapbox leaflet? The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". 257. m. What is the radius of Earth in meters? | Homework.Study.com The radius is more like 6,371 kilometers at the north and south poles. This quantity is denoted variously as . At the poles, = 90o and the length = 110.95 km, nearly. Additionally, the bulge at the equator shows slow variations. This answer is: 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. Earth Radius by Latitude Calculator - Rechneronline - Ntzliche Rechner These cookies ensure basic functionalities and security features of the website, anonymously. How far (in meter) does it travel in the first 3 seconds? [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. B The WGS84 ellipsoid can be used worldwide (such as the ridiculously over-precise flattening value). What is the radius of the sun in meters? - Answers Solve the following problems. If mass of a planet is eight times the By clicking Accept, you consent to the use of ALL the cookies. The Earths circumference is approximately 40,000,000 meters. The cookie is used to store the user consent for the cookies in the category "Analytics". 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. Measure Earth's Circumference with a Shadow - Scientific American Earth radius at sea level is 6378.137 km (3963.191 mi) at the equator. How fast is the earth moving? - Scientific American There are two types of crust; oceanic and continental. \text {Circumference} = 39,350 \text {\ kilometers} Circumference = 39,350 kilometers. What is the radius of Earth in meters? Physics, 22.06.2022 11:40, yfnal3x. => When indoor location is available, the accuracy range can be as small as 5 meters. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. As the parallels run east and west, places having the same latitude will be due east or due west of each other. Step 2 of 5. Our descriptions of Earth's surface must be simpler than reality in order to be tractable. find the radius of mars. Circumference of the Earth in Meters Earth radius conversions Convert Earth radius to other length and distance measurement units using a free online calculator for length/distance unit conversions. + The following radii are derived from the World Geodetic System 1984 (WGS-84) reference ellipsoid. This table summarizes the accepted values of the Earth's radius. e (e) For that Earth 1/q 289, that is near to the measured inverse flattening 1/f 298. The geoid height variation is under 110m (360ft) on Earth. , g = GM/r2, Where M is the mass of the Earth, r the radius of the Earth (or distance between the center of the Earth and you, standing on its surface), and G is the gravitational constant. 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. The oblateness constant q is given by, where is the angular frequency, G is the gravitational constant, and M is the mass of the planet. In his writing, Alexander covers a wide range of topics, from cutting-edge medical research and technology to environmental science and space exploration. {\displaystyle {\frac {\partial r}{\partial \lambda }}} Earth's volume, or that of the reference ellipsoid, is V = 4/3a2b. The orbit of Earth ranges from 1.47 to 1.52 x 10 11 meters from the Sun. It is possible to combine the principal radii of curvature above in a non-directional manner. After many, many years, you will have some intuition for the physics you studied. Exercises. What is the radius of the earth equation? [Ultimate Guide!] , Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. 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. Measurement of Earths circumference has been important to navigation since ancient times. Your email address will not be published. The distance between Syene and Alexandria is 787 kilometers. {\displaystyle p=N\cos(\varphi )} A model of a helicopter rotor has four blades, each of length 3.4 mm from the central shaft to the blade tip. Hence, we create models to approximate characteristics of Earths surface, generally relying on the simplest model that suits the need. How do you find the radius of a planet in physics? The average radius of the earth is 6.38x106 meters. 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. T he circumference of the Earth (around the equator) is approximately 24,887 miles. Its the only planet with life. Unless you know indoor location is available inside the geofence, assume that Wi-Fi . {\displaystyle r+dr} How did Aristotle know the earth was round? Estimates of the accuracy of Eratosthenes's measurement range from 0.5% to 17%. ] However, Earth is not quite a sphere. (8,849 meters), but it is not the highest point on Earth that is, the place most distant from the . For the WGS84 ellipsoid, that's respectively: Earth's circumference equals the perimeter length. . The following radii are derived from the World Geodetic System 1984 (WGS-84) reference ellipsoid. Overview | Asteroids - NASA Solar System Exploration 371 106 m), the bottom unit of length within the Worldwide System of Units (SI). Most experts think planet Earth can support about 10 billion people, and that when our population reaches that number, it will start to decline. You can do this, too, by using his method. A closed-form solution exists for a spheroid:[14]. Necessary cookies are absolutely essential for the website to function properly. Scholars have interpreted Aristotle's figure to be anywhere from highly accurate[20] to almost double the true value. What is the radius of Moon? - Heimduo Through derivation, we find a logical connection between a natural phenomenon and a mathematical description of that phenomenon. Analytical cookies are used to understand how visitors interact with the website. So if you measure at 11:00am in New York, they should measure at 9:00am in Colorado because of the time difference. 1 Have Bugged an area Rock to pay attention In on Earthlings? What is the permiter of the Earth? arrow_forward. Q. Find the level of Earth in cubic meters. Its measured round the Equator and round the rods that provide different values. Required fields are marked *. cos What is the radius of the parallel of latitude? to the plane tangent at 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. 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. r = m v 2 F c . The Sun - HyperPhysics Concepts Because the Earth isnt perfectly spherical but instead an oblate spheroid, our planet radius is larger in the equator than in the rods. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. How do we measure the diameter of the Earth? r Moon Fact Sheet - NASA p The orbit is not a perfect circle. How to Calculate a Satellite's Speed around the Earth E = The mass of the sun is $329,320$ times that of the earth and | Quizlet What is radius of Earth in gravitation Class 9? Answer: Starter The radius of the moon is 1,737,000 meters. Earths Equatorial Radius to Meter Conversion Table, How to Convert Earths Equatorial Radius to Meter, Convert Earths Equatorial Radius to Other Length Units. Not all deformations originate within the Earth. He also shares personal stories and insights from his own journey as a scientist and researcher. In the third century B.C., Eratosthenes was able to mathematically calculate the earths diameter by comparing differences in the angle of the suns rays at two separate geographic points.
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