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

The other two are the radii of curvature. Enchanted Learning. A cylinder has a radius of 8 meters. R 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. A Just how much is really a trillion in scientific notation? Radius refers to a line that connects to the centre point of a circle to any point on its outside layer. Length in km of 1 of latitude = always 111.32 km Length in km of 1 of longitude = 40075 km * cos ( latitude ) / 360 Share Follow edited Jul 21, 2022 at 14:03 answered Sep 16, 2016 at 21:29 For example, if you stand at a point on the earth and move around the earth in a straight path, and reach the same point again, then the distance covered by you is the circumference of the earth. [21] The first known scientific measurement and calculation of the circumference of the Earth was performed by Eratosthenes in about 240BC. These cookies will be stored in your browser only with your consent. The mathematical expressions above apply over the top of ellipsoid. 1. Earths Equatorial Radius to Meter Conversion TableEarths Equatorial RadiusMeter (m)0. To determine the diameter of the earth in metres first multiply the original value by 2. Measuring the Circumference of the Earth. Initially, the idea of a reference ellipsoid was an ellipsoid that best approximated mean ocean level. At the equator, = 0 and this arc length = 111.32 km, nearly. Well, the Moon is not always the same distance away from Earth. Semi-minor axis b = 6356752.3142 meters. is normal to the surface at The extrema geocentric radii on the ellipsoid coincide with the equatorial and polar radii. Asked By: Lena Frontelo | Last Updated: 18th May, 2020, Earth is the third planet from the sun. 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). Above we see an object with mass m attached to a spring. [Mass of the earth is 6 x 1024 kg and radius of the earth is 6.4 x 106 m]. This section describes the common ways. [2], For Earth, the volumetric radius equals 6,371.0008km (3,958.7564mi).[13]. 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. This cookie is set by GDPR Cookie Consent plugin. Record the distance between your location and your partners location. Subtract the angle measurements to determine the difference in the angle of shadows between the two locations. 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. (b) Repeat part (a) with the sun in place of the earth. A globally-average value is usually considered to be 6,371 kilometres (3,959mi) with a 0.3% variability (10 km) for the following reasons. For Eratosthenes, the arc was 7.2 degrees. 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. det Earth's polar radius is 3,950 miles (6,356 km) a difference of 13 miles (22 km). The magnitude of the gravitational force between earth and an object is given by the formula. 6.371 10 6 m . state. At the equator, the radius of Earth is 3963 miles (Diameter = 7926 miles). What is the number in scientific notation? The radius of the sun at 696,000 km is 109 times the Earth's radius. The equatorial radius is most commonly used to calculate the volume of Earth, so as not to leave out any territory. 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. [1]:4 , 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. Arc length of more general surface curves, such as meridian arcs and geodesics, can also be derived from Earth's equatorial and polar radii. The following radii are derived from the World Geodetic System 1984 (WGS-84) reference ellipsoid. Additionally, the radius can be estimated from the curvature of the Earth at a point. {\displaystyle e} The cookies is used to store the user consent for the cookies in the category "Necessary". r = m v 2 F c . Tack one end of a piece of string to the top of the stick. Step 2 of 5. 257. to have an oblate spheroid, the curvatures are. Like a torus, the curvature at a point will be greatest (tightest) in one direction (northsouth on Earth) and smallest (flattest) perpendicularly (eastwest). Keplers Third law can be used to determine the orbital radius of the planet if the mass of the orbiting star is known (R3=T2Mstar/Msun, the radius is in AU and the period is in earth years). While specific values differ, the concepts in this article generalize to any major planet. How to Calculate the Circumference of the Earth? The radius of the earth's orbit is 45,000,000 meters. 5.98 10 24 kg. However, Earth is not quite a sphere. Now we know 2 things- 1. Place the loose end of the string at the end of the cast shadow and hold it taut. 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). Do NOT follow this link or you will be banned from the site! for an oblate spheroid, the curvatures are. r . In simple words, radius refers to that line, which originates from any point of the circle and touches the centre point the circle. It is with the values I gave you. The IUGG denotes the authalic radius as R2. The distance between Syene and Alexandria is 787 kilometers. 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 R=6370 3. 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. At what distance above the surface of earth, the gravitational force will be reduced by 10%, if the radius of earth is 6370 Km. At room temperature, it will go from a solid to a gas directly. e Convert the Earth-Sun distance of 93,000,000 miles into. Measured around the poles, the circumference is 40,007.863 km (24,859.734 mi). d The winners are: Princetons Nima Arkani-Hamed, Juan Maldacena, Nathan Seiberg and Edward Witten. All Right Reserved. The Earths equatorial radius to meter (m) conversion table and conversion steps are also listed. Have your partner do the same in her location. These cookies ensure basic functionalities and security features of the website, anonymously. 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). At the poles, = 90o and the length = 110.95 km, nearly. There are two principal radii of curvature: along the meridional and prime-vertical normal sections. r Instant free online tool for Earths equatorial radius to meter conversion or vice versa. As the parallels run east and west, places having the same latitude will be due east or due west of each other. How do you express the earths diameter in scientific notation? It is 6356. In Eratosthenes case, the distance was 787 kilometers, so for him, the following relation applied: where x = the circumference of the Earth in kilometers. The equation for Keplers Third Law is P = a, so the period of a planets orbit (P) squared is equal to the size semi-major axis of the orbit (a) cubed when it is expressed in astronomical units. How do you find the radius of the earth from the circumference? How far (in meter) does it travel in the first 3 seconds? [13], The authalic radius 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. What is the real radius of the earth? the center.of the Earth. 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. Its mean density is 1410 kg/m 3 or 0.255 times the mean density of Earth. Other ways to define and measure the Earth radius involve the radius of curvature. 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. Explore Asteroids In Depth Key Science Targets {\displaystyle r+dr} The orbit is not a perfect circle. 2a : the bone on the thumb side of the human forearm also : a corresponding part of vertebrates above fishes. mpanderla95. .[10]. E 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. Example 2. 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. 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. 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. Since pi is an infinite number, the calculations in Step 6 will be more accurate. . which differs from the exact result by less than 1m (4105in); the mean of the two axes. , which is defined to be 6,378.1km (3,963.2mi). = 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. Make sure both sticks are perpendicular to the earth and that the same length of stick protrudes from the ground. The planet bulges at the equator as a result of its rotation. 6 m0. It is possible to combine the principal radii of curvature above in a non-directional manner. Thus, the radius of the earth in meters in scientific notation is 6.371106m. 01 Earths equatorial radius63781. r [a] Local topography increases the variance, resulting in a surface of profound complexity. [27] However, the 1492 enactment of that voyage brought his fleet to the Americas. When identifying the position of an observable location, the use of more precise values for WGS-84 radii may not yield a corresponding improvement in accuracy. Solution Verified {\displaystyle {\mathcal {R}}_{\mathrm {pJ} }^{\mathrm {N} }} Has got the radius of Earth mysteriously grown by about 3%? 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). Area of sphere= 4pier 2. Because these measurements are not done with more sensitive equipment, the radius calculation will be only approximate. EARTH RADIUS meaning & explanation. ) This value is between 6,378 km, particularly around the equator and about 6,357 km at the poles. 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). You have to use the distance from the center of the Earth, not the distance above Earth's surface, as the radius. In a geocentric ellipsoid, the center of the ellipsoid coincides with some computed center of Earth, and best models the earth as a whole. Answer: Starter The radius of the moon is 1,737,000 meters. Science atlas, our goal is to spark the curiosity that exists in all of us. Earth radius at sea level is 6378.137 km (3963.191 mi) at the equator. 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. The first and second radii of curvature correspond, respectively, to the Earth's meridional and prime-vertical radii of curvature. ), 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. Q4. What is radius of Earth in gravitation Class 9? for an oblate spheroid, the curvatures are. {\displaystyle K} How do you find the radius of a gravitational field? 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):. Necessary cookies are absolutely essential for the website to function properly. 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 physical measurement / elevation is used to define Earths radius? , [24] Claudius Ptolemy around 150AD gave empirical evidence supporting a spherical Earth,[25] but he accepted the lesser value attributed to Posidonius. In summary, local variations in terrain prevent defining a single "precise" radius. What is the Radius of the Earth? Aristotle (384-322 BC) was among the first to recognize the fact of our planet being a round sphere. How do you find the radius of the Earth using trigonometry? 3 What is the Radius and Diameter of a Circle? 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. Now, lets plug in some numbers. nasa.gov. to the plane tangent at What is the number in scientific notation? Physics, 22.06.2022 11:40, yfnal3x. . 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. 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. This cookie is set by GDPR Cookie Consent plugin. y Does Bohrs model explain radius of an orbit? is the eccentricity of the earth. Earth radius at sea level is 6378. The radius of a parallel of latitude is given by m. Eratosthenes was born around 276 B.C., which is now Shahhat, Libya. 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. 2013-09-16 00:47:38. The geoid height variation is under 110m (360ft) on Earth. 1o = 180 radian. [7] Additional discrepancies caused by topographical variation at specific locations can be significant. = This video explains how humans managed to measure the circumference of the earth long long ago using simple math, reasoning and assumptions.