Copyright 2022 - Science-Atlas.com. 2013-09-16 00:47:38. Earth Radius by Latitude Calculator Calculates radius and diameter of the Earth for a given latitude. So escape velocity = . One can only adopt an idealized model. The mathematical expressions above apply over the surface of the ellipsoid. ), 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. 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. N = Note that the dimensions of h, R and d must be . {\displaystyle n={\frac {N}{|N|}}} the center.of the Earth. 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):. [2], For Earth, the volumetric radius equals 6,371.0008km (3,958.7564mi).[13]. [9] About Earth radiusThe Earth radius, or even the radius of the world, may be the distance from the middle of our planet towards the surface. Point on the ellipsoid surface can be defined by the parametric curve equation. 2019 11:40, yfnal3x. [d] It is also common to refer to any mean radius of a spherical model as "the radius of the earth". "The Earth's mass is about 5.98 10 24 kg". a) Calculate the average density of the white dwarf. 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. 4.23 x 10 7 m - 6.37 x 10 6 m . 1 This topographical average is 6,371.230km (3,958.899mi) with uncertainty of 10m (33ft).[16]. [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. 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. r = 39350/ 6.28 = 6267 kilometer. , What is the formula to find radius of Earth? How many meters is the earth? is the eccentricity of the earth. In summary, local variations in terrain prevent defining a single "precise" radius. r View this answer. 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. This section describes the common ways. What is the Radius of the Earth? N High School Students Measure New Value for Earths Radius to Celebrate World Physics Year. The first published reference to the Earths size appeared around 350BC, when Aristotle reported in his book On the Heavens(18) that mathematicians had guessed the circumference of the Earth to be 400,000 stadia. 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). The radius of the sun at 696,000 km is 109 times the Earth's radius. 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. The corresponding radius of curvature depends on the location and direction of measurement from that point. [1]:4 p 2. It is possible to combine the principal radii of curvature above in a non-directional manner. However, for purposes of uniformity and use in geophysics and astronomy, the nominal earth radius is used, which is about 6, 371 km. Use a scientific calculator. 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 following radii are derived from the World Geodetic System 1984 (WGS-84) reference ellipsoid. The meridional mean is well approximated by the semicubic mean of the two axes,[citation needed]. Let us calculate area of earth using this formula area=4x22/76370= 5.110 4. 06. Regardless of the model, any radius falls between the polar minimum of about 6,357km and the equatorial maximum of about 6,378km (3,950 to 3,963mi). In his writing, Alexander covers a wide range of topics, from cutting-edge medical research and technology to environmental science and space exploration. This video explains how humans managed to measure the circumference of the earth long long ago using simple math, reasoning and assumptions. J ) is the distance from the center of Earth to a point on or near its surface. Through derivation, we find a logical connection between a natural phenomenon and a mathematical description of that phenomenon. Added 2022-02-06 15:04:59 subject Physics by rsa072001. 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. This cookie is set by GDPR Cookie Consent plugin. Surface Gravity Metric: 9.80665 m/s 2 English: 32.041 ft/s 2 Escape Velocity Metric: 40,284 km/h English: 25,031 mph Scientific Notation: 1.119 x 10 4 m/s Sidereal Rotation Period 0.99726968 Earth Days 23.934 Hours Surface Temperature Metric: -88/58 (min/max) C English: -126/136 (min/max) F Scientific Notation: 185/331 (min/max) K We must convert the radius into centimeters: R Moon = 1738 km X (1000m / km) X (100cm / m) = 1.738 X 10 8 cm. The radius of a parallel of latitude is given by The circumference of the Earth depends on how it is measured. Escape velocity = = 22.4 km/sec. For Eratosthenes, at midday on the summer solstice where the suns angle was directly overhead, the angle was zero. Venus is covered by a thick, rapidly spinning atmosphere, creating a scorched world with temperatures hot enough to melt lead and a surface pressure 90 times that of Earth. (a) Local topography increases the variance, resulting in a surface of profound complexity. A: . What is the radius of Earth in meters? Similarly very small numbers are written using negative exponents, e. The very first printed mention of Earths size made an appearance around 350BC, when Aristotle reported in the book Around the Heavens(18) that mathematicians had suspected the circumference of the world to become 400,000 stadia. That's between 28 and 29 Earths. Tack one end of a piece of string to the top of the stick. Your partner should measure at the same time, regardless of time difference. That's almost 32 Earths. The average radius of the earth is 6.38x106 meters. This value is between 6,378 km, particularly around the equator and about 6,357 km at the poles. Aristotle (384-322 BC) was among the first to recognize the fact of our planet being a round sphere. The distance to the centre of the Earth has been taken as the volumetric mean radius of the Earth: 6,371km. Created by Sal Khan and Monterey Institute for Technology and Education. 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. {\displaystyle p=N\cos(\varphi )} . Therefore, the difference was 7.2 degrees. In general, this points to an important conclusion about nature itself. 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. Have your partner do the same in her location. This answer is: radius of earth in meters scientific notation, Convert Earths Equatorial Radius to Meter, What Is Radius Of Gyration In Civil Engineering, High Definition 3D Printer Prints 5 Meters per Second, Most Precise Measurement Ever from the Radius of the Planet Outdoors Our Solar System, Scientists Uncover How Quickly-Flying Bats Can Achieve Great Heights well over 1,600 Meters, What Is The Ploidy Of This Cell Model Mastering Biology, Do The Laws Of Thermodynamics Apply In Space, How To Change Google Earth Language To English, Worlds greatest-dwelling squid spotted 20,000 ft underneath the ocean, Hatches Open! So if you measure at 11:00am in New York, they should measure at 9:00am in Colorado because of the time difference. Facts about the earth Since the earth is a sphere, we can measure its diameter and radius. [13], The authalic radius This cookie is set by GDPR Cookie Consent plugin. What is the number in scientific notation? These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. 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. nasa.gov. It is 6356. 1o = 180 radian. 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 extrema geocentric radii on the ellipsoid coincide with the equatorial and polar radii. Measuring the Circumference of the Earth. \text{Circumference} = 39,350 \text{\ kilometers}. Compute the circumference of the Earth using the distance and angle measurements you have. This cookie is set by GDPR Cookie Consent plugin. 2 The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". [1]:3 The nominal polar Earth radius is defined as Skip to main content. Earth is the third planet from the sun. Additionally, the bulge at the equator shows slow variations. What is the fluid speed in a fire hose with a 9.00 cm diameter carrying 80.0 l of water per second? You need to solve physics problems. These cookies ensure basic functionalities and security features of the website, anonymously. R By knowing the Equatorial diameter or the polar diameter of the Earth, the circumference can be found. The radius of a chlorine atom is approximately meters. The earth is made up of three different layers: the crust, the mantle and the core. Part 4: Computation . Solution for the radious of earth is 6378.1 km, which is 2981.1 km greater than the radius of mars. {\displaystyle {\mathcal {R}}_{\mathrm {eE} }^{\mathrm {N} }} New Arrivals Expand Space Stations Crew to 6. It does not store any personal data. Estimates of the accuracy of Eratosthenes's measurement range from 0.5% to 17%. What does EARTH RADIUS mean? Hence, we create models to approximate characteristics of Earths surface, generally relying on the simplest model that suits the need. Find the level of Earth in cubic meters. Drive one of the meter sticks into the ground in your location in a sunny spot. All Right Reserved. As a consequence of this, the polar radius is closer to 6,356.7 kilometers. Using the parameters from WGS84 ellipsoid of revolution, a = 6,378.137 km and b = 6356.7523142km, V = 1.083211012km3 (2.59881011cumi).[17]. [4], The variation in density and crustal thickness causes gravity to vary across the surface and in time, so that the mean sea level differs from the ellipsoid. F You also have the option to opt-out of these cookies. , Historically, these models were based on regional topography, giving the best reference ellipsoid for the area under survey. Hence the required distance is. Earth's rotation, internal density variations, and external tidal forces cause its shape to deviate systematically from a perfect sphere. Eratosthenes estimated Earth's circumference at about 46,250 kilometers (28,735 miles). 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. , over the surface of the ellipsoid. While carbon dioxide gas is invisible, the very cold gas , Turbines produce noise and alter visual aesthetics. stands for the radius of the Earth. , Does Wittenberg have a strong Pre-Health professions program? r . The other two are the radii of curvature. b) Calculate the surface free-fall acceleration. Earths circumference is the distance around Earth. How did we determine the size of the Earth? 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. The cookies is used to store the user consent for the cookies in the category "Necessary". det Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. 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. Necessary cookies are absolutely essential for the website to function properly. 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. A rough, general figure for the Earths mean orbital speed is 30 kilometers per second (km/s), or 18 miles per second (mi/s). E det {\displaystyle K=\kappa _{1}\,\kappa _{2}={\frac {\det \,B}{\det \,A}}} b : the third and usually largest vein of an insect's wing. Compute the radius of the Earth using the formula C (circumference) = 2 x pi x r (radius). At the equator, = 0 and this arc length = 111.32 km, nearly. [21] The first known scientific measurement and calculation of the circumference of the Earth was performed by Eratosthenes in about 240BC. 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 bulge had been decreasing, but since 1998 the bulge has increased, possibly due to redistribution of ocean mass via currents. Testing, Testing: Space-Bound US-European Water Mission Passes Finals. How do you find the radius with mass and gravity? [2] All three values are about 6,371 kilometres (3,959mi). Its better to have a reference ellipsoid that is constant over time than it is to have an ever improving best fit ellipsoid. West can be exchanged for east in this discussion. 149597870700 meters nearly This is 10-sd (significant digits) approximation. 2023 Leaf Group Ltd. / Leaf Group Media, All Rights Reserved. 1. 71% of Earths surface is water. = 6,356.8km (3,949.9mi). However, Earth is not quite a sphere. Well, the Moon is not always the same distance away from Earth. For the WGS84 ellipsoid, that's respectively: Earth's circumference equals the perimeter length. In late August of 2003, Mars was at its closest point to Earth in about 60,000 years! 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. Therefore, if the earth is taken to be a two dimensional object, its perimeter would be equal to the. Earths rotation, internal density variations, and external tidal forces cause its shape to deviate systematically from a perfect sphere. More than 2,000 years ago Eratosthenes compared the position of the Suns rays in two locations to calculate the spherical size of the Earth with reasonable accuracy. p This cookie is set by GDPR Cookie Consent plugin. [Mass of the earth is 6 x 1024 kg and radius of the earth is 6.4 x 106 m]. w Karren Doll Tolliver holds a Bachelor of English from Mississippi University for Women and a CELTA teaching certificate from Akcent Language School in Prague. What is the real radius of the earth? = 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 The orbit is not a perfect circle. Tack one end of a piece of string to the top of the stick. Eratosthenes was born around 276 B.C., which is now Shahhat, Libya.