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

A Just how much is really a trillion in scientific notation? Physics, 22.06.2022 11:40, yfnal3x. The corresponding radius of curvature depends on the location and direction of measurement from that point. [2] Unless you know indoor location is available inside the geofence, assume that Wi-Fi . Its nice to determine that measurements taken by a lot of groups, sometimes in under ideal conditions, came so near to the right answer. 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. At the poles, = 90o and the length = 110.95 km, nearly. Note that this arc is along a great circle. The cookies is used to store the user consent for the cookies in the category "Necessary". N For the Earth, the authalic radius is 6,371.0072km (3,958.7603mi). {\displaystyle w^{1}=\varphi } A rough, general figure for the Earths mean orbital speed is 30 kilometers per second (km/s), or 18 miles per second (mi/s). r Measured around the Equator, it is 40,075.017 km (24,901.461 mi). 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). which differs from the exact result by less than 1m (4105in); the mean of the two axes. Solution Verified 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. 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. 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. 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. Since pi is an infinite number, the calculations in Step 6 will be more accurate. Responsibility disclaimer and privacy policy | About Us | Terms & Conditions | Site Map, Scientific discoveries from around the world. N 7564mi). Eastwest directions can be misleading. N We also use third-party cookies that help us analyze and understand how you use this website. Step 3 of 5. What does EARTH RADIUS mean? ) is the distance from the center of Earth to a point on or near its surface. Created by Sal Khan and Monterey Institute for Technology and Education. So, its circumference varies depending on how you calculate it. How do you find the radius of the earth from the circumference? Could E.T. Karren Doll Tolliver holds a Bachelor of English from Mississippi University for Women and a CELTA teaching certificate from Akcent Language School in Prague. The radius of Earth is 6370000 m. Express this measurement in km in scientific notation with the correct number of significant digits. close. 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. 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. We also use third-party cookies that help us analyze and understand how you use this website. The Earth's polar radius of curvature (either meridional or prime-vertical) is: The principal curvatures are the roots of Equation (125) in:[11]. All other parallels of latitude are small circles, each having a radius smaller than that of the earth, i.e. The formula for the volume of a sphere is V = 4/3 r. Use a scientific calculator. 6 m0. The radius of a parallel of latitude is given by The bulge have been decreasing, consider 1998 the bulge has elevated, possibly because of redistribution of sea mass via currents. 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. = {\displaystyle r} What is velocity of bullet in the barrel? While specific values differ, the concepts in this article generalize to any major planet. E Ans. , and because Initially, the idea of a reference ellipsoid was an ellipsoid that best approximated mean ocean level. As a consequence of this, the polar radius is closer to 6,356.7 kilometers. cos It is possible to combine the principal radii of curvature above in a non-directional manner. This is roughly 6,371 kilometers (km) or 3,960 statute miles. e His highly influential work, the Almagest,[26] left no doubt among medieval scholars that Earth is spherical, but they were wrong about its size. Place the loose end of the string at the end of the cast shadow and hold it taut. 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. Both of these values are very close to the accepted modern values for the Earths circumference and radius, 40,070 km and 6378 km respectively, which have since been measured by orbiting spacecraft. What is the real radius of the earth? What is the mass of this planet in terms of Earth's mass? Examples collapse all Earth Radius in Meters View the mean radius of the Earth using the default units, meters. A cylinder has a radius of 8 meters. 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. Instant free online tool for Earths equatorial radius to meter conversion or vice versa. The radius of the Earth is 6371 km. This video will show you how Eratosthenes calculated the circumference and radius of the Earth in 240 BC!! 1 Comment document.getElementById("comment").setAttribute( "id", "a9a1dd2ca0d2b09469aaaff6808fc4c3" );document.getElementById("ae49f29f56").setAttribute( "id", "comment" ); Save my name, email, and website in this browser for the next time I comment. These cookies track visitors across websites and collect information to provide customized ads. This topographical average is 6,371.230km (3,958.899mi) with uncertainty of 10m (33ft).[16]. Added 2022-02-06 15:04:59 subject Physics by rsa072001. N This website uses cookies to improve your experience while you navigate through the website. Measurement of Earths circumference has been important to navigation since ancient times. Radius refers to a line that connects to the centre point of a circle to any point on its outside layer. Step 2 of 5. m. [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. Geodetic ellipsoids are better suited to regional idiosyncrasies of the geoid. 71% of Earths surface is water. Eratosthenes estimated Earth's circumference at about 46,250 kilometers (28,735 miles). Also see the Table of Physical Units and Constants. b : the third and usually largest vein of an insects wing. For Eratosthenes, the arc was 7.2 degrees. 756 mi) on average. What physical measurement / elevation is used to define Earths radius? y The magnitude of the gravitational force between earth and an object is given by the formula. 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. The reason for keeping those older values was GPS. R In a geocentric ellipsoid, the center of the ellipsoid coincides with some computed center of Earth, and best models the earth as a whole. {\displaystyle K} The radius of a circle is the straight-line distance from the very center of the circle to any point on the circle. Solution for the radious of earth is 6378.1 km, which is 2981.1 km greater than the radius of mars. p Earths radius is usually given as 6378137 meters (equatorial radius), its flattening is defined as 1/298.257223 (WGS84), and thus its polar radius is calculated as 6356752 meters.However, the av. Physics, 22. What is the radius of Earth in meters? 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. [a] Local topography increases the variance, resulting in a surface of profound complexity. 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. Eratosthenes methods result in a formula that would look like this: 39,350 = 2 x 3.14 x r, or 6,267 kilometers. Earths Equatorial Radius to Meter Conversion Table, How to Convert Earths Equatorial Radius to Meter, Convert Earths Equatorial Radius to Other Length Units. Eratosthenes was born around 276 B.C., which is now Shahhat, Libya. You also have the option to opt-out of these cookies. Thus, the surface of the earth at the equator moves at a speed of 460 meters per secondor roughly 1,000 miles per hour. Earth's polar radius is 3950 miles (Diameter = 7900 miles). 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. This cookie is set by GDPR Cookie Consent plugin. How do you find the radius of a planet in physics? The Earth. 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. ( Image credit: Ayhan Altun) There are nearly 8 billion people (opens in new tab) living on Earth today, but our planet wasnt always so crowded. Surveyors today use a variety of instruments and calculations to determine the size of the Earth and collect other relevant data. It is 6356.752 km (3949.903 mi) at the poles and 6371.001 km (3958.756 mi) on average. The following radii are derived from the World Geodetic System 1984 (WGS-84) reference ellipsoid. After many, many years, you will have some intuition for the physics you studied. "The Earth's mass is about 5.98 10 24 kg". It was there that he first had the idea to create a resource for physics enthusiasts of all levels to learn about and discuss the latest developments in the field. Do NOT follow this link or you will be banned from the site! Earth radius at sea level is 6378.137 km (3963.191 mi) at the equator. p Science atlas, our goal is to spark the curiosity that exists in all of us. The radius of the earth is 6371 km. Venus is included with a thick, quickly spinning atmosphere, developing a scorched world with temperatures hot enough to melt lead along with a surface pressure 90 occasions those of Earth. 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.