what is the radius of the earth in meters

The radius of the earth is 6371 km. 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. ), 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. Andrew Blum gives some tips that could students in the high-school class in Clinton, Mississippi because they focus on the Eratosthenes project. This video will show you how Eratosthenes calculated the circumference and radius of the Earth in 240 BC!! = So, radius of nth orbit is rn=rn2, as Z=1 for H atom. Let us calculate area of earth using this formula area=4x22/76370= 5.110 4. The radius of the sun at 696,000 km is 109 times the Earth's radius. Rotation of a planet causes it to approximate an oblate ellipsoid/spheroid with a bulge at the equator and flattening at the North and South Poles, so that the equatorial radius a is larger than the polar radius b by approximately aq. 1 . 371 106 meters (Earth radius 6. 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. To determine the diameter of the earth in metres first multiply the original value by 2. {\displaystyle r} Each of the models in common use involve some notion of the geometric radius. The distance between locations are also part of the total circumference of the Earth. 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. 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. which differs from the exact result by less than 1m (4105in); the mean of the two axes. Have your partner do the same in her location. The value of the radius is completely dependent upon the latitude in the case of an ellipsoid model, and nearly so on the geoid. 2. [27] However, the 1492 enactment of that voyage brought his fleet to the Americas. Eratosthenes estimated Earth's circumference at about 46,250 kilometers (28,735 miles). Example 2. Does Bohrs model explain radius of an orbit? This section describes the common ways. A nominal Earth radius is sometimes used as a unit of measurement in astronomy and geophysics, which is recommended by the International Astronomical Union to be the equatorial value.[1]. 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. The distance to the centre of the Earth has been taken as the volumetric mean radius of the Earth: 6,371km. See the formula used in an example where we are given the diameter of the sphere. NASA Telescope Takes 12-Year Time-Lapse Movie of Entire Sky. nasa.gov. Compute the circumference of the Earth using the distance and angle measurements you have. The red dot at the lower left corner is its center. [ A) 4.5 x 10-7 B) 4.5 x 107 C) 45 x 10-6 D) 45 x 106 When he's not busy exploring the mysteries of the universe, George enjoys hiking and spending time with his family. 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 meridional mean is well approximated by the semicubic mean of the two axes,[citation needed]. Our descriptions of Earth's surface must be simpler than reality in order to be tractable. The planet's rotation causes it to bulge at the equator. How do you find the radius with mass and gravity? The radius of a circle is the straight-line distance from the very center of the circle to any point on the circle. Earth, as we know now, is an oblate spheroid, as shown in the above figure. Earth's surface area is an estimated 510 km2, and about 29% of the area is land while the other 71% consists of water. Its surface gravity is 274 m/s 2 or 28.0 times that of the Earth. The circumference of the world measured round the Equatoris approximtely 24,887. is the eccentricity of the earth. They are vertices of the ellipse and also coincide with minimum and maximum radius of curvature. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. After many, many years, you will have some intuition for the physics you studied. Physics, 22. 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. for the nominal polar Jupiter radius. The first and second radii of curvature correspond, respectively, to the Earth's meridional and prime-vertical radii of curvature. 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. How do you find the radius of a planet in physics? Video advice: What is EARTH RADIUS? The radius of a parallel of latitude is given by What is the mass of this planet in terms of Earth's mass? Video advice: How We Calculated the Radius of Earth. to the plane tangent at What is the Radius and Diameter of a Circle? The earth is made up of three different layers: the crust, the mantle and the core. The radius of orbit indicates the distance that the satellite is from the center of the earth. Ans. He studied in Athens at the Lyceum. Putting in the numbers, you have Dividing both sides by m1 gives you the acceleration due to gravity: Newton's law of gravitation gives you the acceleration due to gravity near the surface of the Earth: 9.8 meters/second 2. 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. E This website uses cookies to improve your experience while you navigate through the website. This answer is: Copyright 2022 - Science-Atlas.com. With R=6370 3. A partial surface of an ellipsoid gets fitted to the region, in which case the center and orientation of the ellipsoid generally do not coincide with the earth's center of mass or axis of rotation. The radius of the Earth is 6371 km. r = m v 2 F c . Therefore, if the earth is taken to be a two dimensional object, its perimeter would be equal to the. Each pair measured the position from the sun, in the same manner the Greek philosopher Eratosthenes exceeded 2000 years back in Alexandria, Egyptby evaluating the size of an item to the size of its shadow, measured at local noon. 371 106 m), the bottom unit of length within the Worldwide System of Units (SI). Earth radius at sea level is 6378. For Earth, the arithmetic mean radius is 6,371.0088km (3,958.7613mi). Thus, the radius of the earth in meters in scientific notation is 6.371106m. The WGS84 ellipsoid can be used worldwide (such as the ridiculously over-precise flattening value). where e2 = a2 b2/a2 and A is the surface area of the spheroid. According to NASA's Goddard Space Flight Center, Earth's radius at the equator is 3,963 miles (6,378 kilometers). 6378 X 2 = 12 756 km. Thus, the surface of the earth at the. Advertisement. Now, lets plug in some numbers. arrow_forward. Thus the curvature found this way is smaller than the curvature of a circle of constant latitude, except at the equator. Eratosthenes was born around 276 B.C., which is now Shahhat, Libya. Hence 1km=10001000m=10m 6. Make sure both sticks are perpendicular to the Earth and that the same length of stick protrudes from the ground. In 1993 the WGS84 governing committee voted, with one exception, to retain the 1984 defining values, despite improvements to those defining values. The radius of earth, is the distance from the centre of the Earth to a point on or near its surface, and it ranges from nearly 6,378 km to nearly 6,357 km, dhanyaranjan Published On January 28th, 2022 Table of Contents Radius of Earth in Physics The symbol R? Though he did not have instant communications as we do now, he was able to determine the angle of the suns rays in Alexandria at the same time, which was about 7.2 degrees. . Do NOT follow this link or you will be banned from the site! It has a diameter of 12,756.3 km (Scientific notation: 1.2756 x 10e4) and a radius of 56,378.15 km (Scientific notation: 5.6378 x 10e4 km.) The physical radius, the distance from the center of the earth to the ellipsoid is the least used. [a] Local topography increases the variance, resulting in a surface of profound complexity. Have your partner do the same in her location at the exact same time. The other two are the radii of curvature. Earth's rocky mantle and metallic core make it the densest planet, at 5.513 grams per cubic centimeter. Examples collapse all Earth Radius in Meters View the mean radius of the Earth using the default units, meters. Note that this arc is along a great circle. Above we see an object with mass m attached to a spring. The typical radius of the world is roughly 6. Regarding this, what is the diameter of the Earth in scientific notation? Solving for x reveals the circumference to be. 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). b : the third and usually largest vein of an insect's wing. Measured around the Equator, it is 40,075.017 km (24,901.461 mi). y Measured around the poles, the circumference is 40,007.863 km (24,859.734 mi). R = 6,356.8km (3,949.9mi). The geoid height can change abruptly due to earthquakes (such as the Sumatra-Andaman earthquake) or reduction in ice masses (such as Greenland).[5]. 257. Earths Equatorial Radius to Meter Conversion TableEarths Equatorial RadiusMeter (m)0. The polar circumference equals Cp=4mp, four times the quarter meridian mp=aE(e), where the polar radius b enters via the eccentricity, e=(1b2/a2)0.5; see Ellipse#Circumference for details. How many meters is the earth? Karren Doll Tolliver holds a Bachelor of English from Mississippi University for Women and a CELTA teaching certificate from Akcent Language School in Prague. 4.23 x 10 7 m - 6.37 x 10 6 m . [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. Measurement of Earths circumference has been important to navigation since ancient times. The cookies is used to store the user consent for the cookies in the category "Necessary". How do you use the Pythagorean Theorem to find the radius of the earth? 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. The radius of the swimming pool water atom is roughly meters. Our goal is to make science relevant and fun for everyone. At the equator, = 0 and this arc length = 111.32 km, nearly. Thus, the surface of the earth at the equator moves at a speed of 460 meters per secondor roughly 1,000 miles per hour. So, its circumference varies depending on how you calculate it. 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. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. also corresponds to the radius of (global) mean curvature, obtained by averaging the Gaussian curvature, 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. 903 mi) at the poles and 6371. 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. = The cases below considers Earth's topography, above or below a reference ellipsoid. What you need is to convert a meter into degrees since long/lat is a polar coordinate system.With the circumference of Earth being 40,075 km, you get 0.00000898315 deg/m which you need to multiply with the size of the object (1 m) to get the degrees which you have to add to your coordinate to get a point which intersects with the radius of . In 200 B.C. How far (in meter) does it travel in the first 3 seconds? The accelerationwhich is gained by an object because of gravitational forceis called its acceleration due to gravity. 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. Furthermore, the bulge in the equator shows slow variations. 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. The total mass of all the asteroids combined is less than that of Earth's Moon. 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 . Your email address will not be published. How did Aristotle know the earth was round? One reason that our program is so strong is that our . As such, they are topographical geocentric distances, Rt, which depends not only on latitude. So escape velocity = . Oceanic crust is denser and thinner and mainly composed of basalt. Likewise for surface area, either based on a map projection or a geodesic polygon. Exercises. The planet's rotation causes it to bulge at the equator. But opting out of some of these cookies may affect your browsing experience. The cookie is used to store the user consent for the cookies in the category "Other. The following is a partial list of models of Earth's surface, ordered from exact to more approximate: In the case of the geoid and ellipsoids, the fixed distance from any point on the model to the specified center is called "a radius of the Earth" or "the radius of the Earth at that point". Definition of radius 1 : a line segment extending from the center of a circle or sphere to the circumference or bounding surface. Like a torus, the curvature at a point will be greatest (tightest) in one direction (northsouth on Earth) and smallest (flattest) perpendicularly (eastwest). 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

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