what is the radius of the earth in meters
what is the radius of the earth in meters
What is the radius 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. (b) Repeat part (a) with the sun in place of the earth. arrow_forward. 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). When the Moon is the farthest away, it's 252,088 miles away. (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? 2a : the bone on the thumb side of the human forearm also : a corresponding part of vertebrates above fishes. f [9] ) is the distance from the center of Earth to a point on or near its surface. The average radius of the earth is 6.38x106 meters. Added 2022-02-06 15:04:59 subject Physics by rsa072001. N How do you find the radius with mass and gravity? This length is also used as a unit of distance, especially in astronomy and geology, where it is usually denoted by R. {\displaystyle F=f=0} When considering the Earth's real surface, on the other hand, it is uncommon to refer to a "radius", since there is generally no practical need. 2 E = Solving for x reveals the circumference to be. This video will show you how Eratosthenes calculated the circumference and radius of the Earth in 240 BC!! Around 1690, Isaac Newton and Christiaan Huygens argued that Earth was closer to an oblate spheroid than to a sphere. What does EARTH RADIUS mean? What is the Radius and Diameter of a Circle? How do you express the earths diameter in scientific notation? What is the fluid speed in a fire hose with a 9.00 cm diameter carrying 80.0 l of water per second? For best results, the minimum radius of the geofence should be set between 100 - 150 meters. Earths circumference is the distance around Earth. A meter is a meter, no matter what your zoom level is. Historically, these models were based on regional topography, giving the best reference ellipsoid for the area under survey. Each of the models in common use involve some notion of the geometric radius. 1. Therefore, the distance you use in the equation is the distance between the two orbiting bodies. , For Earth, the volumetric radius equals 6,371. z Because these measurements are not done with more sensitive equipment, the radius calculation will be only approximate. Point B, which appears due east from A, will be closer to the equator than A. 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. With Ans. Step 3 of 5. Yes! = 6,356.8km (3,949.9mi). 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. Ans. (clarification needed). The radius is more like 6,371 kilometers at the north and south poles. At the equator, = 0 and this arc length = 111.32 km, nearly. A The radius of the earth is the straight distance from the earth's center to a point on its surface. Refer to the WGS-84 ellipsoid if a more precise value for its polar radius is needed. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. Approximating the figure of Earth by an Earth spheroid, the radius ranges from a maximum of nearly 6,378km (3,963mi) (equatorial radius, denoted a) to a minimum of nearly 6,357km (3,950mi) (polar radius, denoted b). How far (in meter) does it travel in the first 3 seconds? Solution for the radious of earth is 6378.1 km, which is 2981.1 km greater than the radius of mars. Well, the Moon is not always the same distance away from Earth. b : the third and usually largest vein of an insects wing. 2a : the bone on the thumb side of the human forearm also : a corresponding part of vertebrates above fishes. This website uses cookies to improve your experience while you navigate through the website. Also, explore tools to convert Earths equatorial radius or meter to other length units or learn more about length conversions. r to the plane tangent at What is the number in scientific notation? The cookies is used to store the user consent for the cookies in the category "Necessary". Rather, elevation above or below sea level is useful. which differs from the exact result by less than 1m (4105in); the mean of the two axes. However, other factors such as the rotation of the Earth also contribute to the net acceleration. = This topographical average is 6,371.230km (3,958.899mi) with uncertainty of 10m (33ft).[16]. 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. You need to solve physics problems. in the second fundamental form for a surface (Equation (123) in[11]): e, f, and g are elements of the shape tensor: n The first, titled Arturo Xuncax, is set in an Indian village in Guatemala. 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. Because the Earth isnt perfectly spherical but instead an oblate spheroid, our planet radius is larger in the equator than in the rods. {\displaystyle K} Earth radius Conversion conversion table Earth radius to Meters Conversion Table Meters [ m ] 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 physical measurement / elevation is used to define Earths radius? Use the protractor to measure the angle where the string meets the stick at the top. This equation for acceleration can , Dry ice is the name for carbon dioxide in its solid state. N 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]. These cookies ensure basic functionalities and security features of the website, anonymously. Start your trial now! How do you solve for radius and diameter? det 137 km (3963. Eratosthenes methods result in a formula that would look like this: 39,350 = 2 x 3.14 x r, or 6,267 kilometers. Thus, the radius of the earth in meters in scientific notation is 6.371106m. [ The polar radius of the Earth is 3,950 miles (6,356), which is a 13-mile (22-kilometer) difference. is normal to the surface at This astronomical observation was confirmed by general observations made at sea. Go farther. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. r The geoid height can change abruptly due to earthquakes (such as the Sumatra-Andaman earthquake) or reduction in ice masses (such as Greenland).[5]. arrow_forward. r The distance to the centre of the Earth has been taken as the volumetric mean radius of the Earth: 6,371km. Its mean density is 1410 kg/m 3 or 0.255 times the mean density of Earth. For Eratosthenes, the arc was 7.2 degrees. . Although the precise strength of Earth's gravity varies depending on location, the nominal "average" value at the Earth's surface, known as standard gravity is, by definition, 9.80665 m/s 2 (32.1737 ft/s 2 ). The planet's rotation causes it to bulge at the equator. state. You can do this, too, by using his method. 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. The radius of orbit indicates the distance that the satellite is from the center of the earth. 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). As an example, we will use Eratosthenes measurements. R 5.98 10 24 kg. is the unit normal to the surface at The geoid height variation is under 110m (360ft) on Earth. Who first calculated the radius of the earth? It is with the values I gave you. The mathematical expressions above apply over the surface of the ellipsoid. The other two are the radii of curvature. R = 6371 km is the mean Earth radius.. 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 . This section describes the common ways. Regarding this, what is the diameter of the Earth in scientific notation? nasa.gov. 149597870700 meters nearly This is 10-sd (significant digits) approximation. 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. One can only adopt an idealized model. George has always been passionate about physics and its ability to explain the fundamental workings of the universe. 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). Measure the angle of the shadow of your meter stick when the sun is overhead and the shadow is smallest, often known as local noon (when the sun is exactly north-south in the sky at its highest point). Its measured round the Equator and round the rods that provide different values. 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. [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. Mass of planet M = 8 x mass of earth = 8 x 6 x 10 24 kg. 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. How do you find the radius of the Earth using trigonometry? = How do you find the acceleration of a system? Earth's volume, or that of the reference ellipsoid, is V = 4/3a2b. 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.
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