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

earthRadius While carbon dioxide gas is invisible, the very cold gas , Turbines produce noise and alter visual aesthetics. Sometimes more are aboard the station during a crew handover. But opting out of some of these cookies may affect your browsing experience. The value of standard gravity corresponds to the gravity on Earth at a radius of 6,375.4 kilometres (3,961.5 mi). Earths Equatorial Radius to Meter Conversion TableEarths Equatorial RadiusMeter (m)0. Its measured round the Equator and round the rods that provide different values. 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). 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. George has always been passionate about physics and its ability to explain the fundamental workings of the universe. = What is the radius of Earth in exponential form? Earth's rocky mantle and metallic core make it the densest planet, at 5.513 grams per cubic centimeter. r Enchanted Learning. Now, lets plug in some numbers. All other parallels of latitude are small circles, each having a radius smaller than that of the earth, i.e. (clarification needed). Examples collapse all Earth Radius in Meters View the mean radius of the Earth using the default units, meters. This quantity is denoted variously as . Around 100BC, Posidonius of Apamea recomputed Earth's radius, and found it to be close to that by Eratosthenes,[23] but later Strabo incorrectly attributed him a value about 3/4 of the actual size. The various radii derived here use the notation and dimensions noted above for the Earth as derived from the WGS-84 ellipsoid;[6] namely. 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. Earth Radius by Latitude Calculator Calculates radius and diameter of the Earth for a given latitude. Ocean Worlds Resources. r = m v 2 F c . Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. This is the radius that Eratosthenes measured in his arc measurement. This calculated value became a defining value in 1993. (clarification needed). A: . g = GM/r2, Where M is the mass of the Earth, r the radius of the Earth (or distance between the center of the Earth and you, standing on its surface), and G is the gravitational constant. 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 ). Since pi is an infinite number, the calculations in Step 6 will be more accurate. + Advertisement. Earth's polar radius is 3950 miles (Diameter = 7900 miles). These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. b : the third and usually largest vein of an insects wing. How do you find the acceleration of a system? He observed lunar eclipses and noticed that only a round sphere could imply a circular shadow. (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? In 1993 the WGS84 governing committee voted, with one exception, to retain the 1984 defining values, despite improvements to those defining values. Your email address will not be published. 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. You also have the option to opt-out of these cookies. Where R is the radius of the Earth. which differs from the exact result by less than 1m (4105in); the mean of the two axes. The physical radius, the distance from the center of the earth to the ellipsoid is the least used. 5.98 10 24 kg. In Eratosthenes case, the distance was 787 kilometers, so for him, the following relation applied: where x = the circumference of the Earth in kilometers. are tangents to the surface. How far is the center of the Earth in KM? At the equator, = 0 and this arc length = 111.32 km, nearly. A How do you express the earths diameter in scientific notation? Reviving Erastosthenes, 2022-year-old experiment using the angle of the sun to measure the radius of the Earth. 0008km (3,958. By knowing the Equatorial diameter or the polar diameter of the Earth, the circumference can be found. By 1490, Christopher Colombus believed that traveling 3,000 miles west from the west coast of the Iberian peninsula would let him reach the eastern coasts of Asia. Of course, no one is claiming the size of Earth has actually changed. Answer (1 of 3): First of all let us consider the shape of the earth to be a sphere. Since Earth is roughly spherical, calculating its volume is relatively simple. Eastwest directions can be misleading. a) Calculate the average density of the white dwarf. 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. 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 The cookie is used to store the user consent for the cookies in the category "Performance". Most experts think planet Earth can support about 10 billion people, and that when our population reaches that number, it will start to decline. Circumference of Earth is the length or the distance around the Earth. What is the radius of the earth? Compute the radius of the Earth using the formula C (circumference) = 2 x pi x r (radius). Also see the Table of Physical Units and Constants. What is the real radius of the earth? is the unit normal to the surface at We invite readers to visit us daily, explore topics of interest, and gain new perspectives along the way. .[10]. What is the number in scientific notation? Where K is the Gaussian curvature, Derivation means the action of obtaining something from a source or origin. 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. {\displaystyle r} The Earth's mean radius of curvature at latitude is:[12]:97. A rough, general figure for the Earths mean orbital speed is 30 kilometers per second (km/s), or 18 miles per second (mi/s). This implies that for a given mass and velocity, a large centripetal force causes a small radius of curvaturethat is, a tight curve, as in (Figure). If you wish to convert a small difference of latitude or longitude into the linear distance on the surface of the earth, then the spherical earth equation would be, = = dE R cos d dN R d , What does EARTH RADIUS mean? {\displaystyle w^{2}=\lambda ,}. [Mass of the earth is 6 x 1024 kg and radius of the earth is 6.4 x 106 m]. 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. , What is the fluid speed in a fire hose with a 9.00 cm diameter carrying 80.0 l of water per second? Note that the dimensions of h, R and d must be . Our descriptions of Earths surface must be simpler than reality in order to be tractable. [7] Additional discrepancies caused by topographical variation at specific locations can be significant. 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. [a] Local topography increases the variance, resulting in a surface of profound complexity. . It does not store any personal data. 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. The cookie is used to store the user consent for the cookies in the category "Performance". Video advice: What is EARTH RADIUS? The planet bulges at the equator as a result of its rotation. His highly influential work, the Almagest,[26] left no doubt among medieval scholars that Earth is spherical, but they were wrong about its size. = 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. You need to ask yourself questions and then do problems to answer those questions. The geoid height variation is under 110m (360ft) on Earth. Likewise for surface area, either based on a map projection or a geodesic polygon. Here x is the circumference of the earth. How do you find the radius with mass and gravity? nasa.gov. For Eratosthenes, at midday on the summer solstice where the suns angle was directly overhead, the angle was zero. New Arrivals Expand Space Stations Crew to 6. For this calculation, the longitude isn't needed. Earths rotation, internal density variations, and external tidal forces cause its shape to deviate systematically from a perfect sphere. Also, explore tools to convert Earths equatorial radius or meter to other length units or learn more about length conversions. The nominal radius serves as a unit of length for astronomy. When he's not busy exploring the mysteries of the universe, George enjoys hiking and spending time with his family. 752 km (3949. The equatorial circumference is simply the circle perimeter: Ce=2a, in terms of the equatorial radius, a. F It is the smallest planet in the Solar System, with an equatorial radius of 2,439.7 km. How do you find the radius in circular motion? 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. mpanderla95. Definition of radius 1 : a line segment extending from the center of a circle or sphere to the circumference or bounding surface. R A consequence is that a distance to the true horizon at the equator is slightly shorter in the northsouth direction than in the eastwest direction. [clarification needed]. Based on data taken by 183 high-school classes taking part in a global Year of Physics project, Appraise the Earth with Shadows, the radius of Earth is 6563 km, when compared to recognized value for that mean radius of 6371 km. 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. R = earthRadius returns the scalar value 6,371,000, the mean radius of the Earth in meters. When we rearrange the equation and plug all the numbers in, we find that the mass of the Earth is 5.96 1024 kg. 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]. Asked By: Lena Frontelo | Last Updated: 18th May, 2020, Earth is the third planet from the sun. Find the level of Earth in cubic meters. 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 . It has an average density of 5.5 g/cm3. 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. Earth radius (denoted as R or 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. 6.371 10 6 m . What is the mass of this planet in terms of Earth's mass? Analytical cookies are used to understand how visitors interact with the website. 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. r . Earth, the third planet from the sun, is one of the most unique celestial bodies in our solar system. This cookie is set by GDPR Cookie Consent plugin. Record the measurements. x The geocentric radius is the distance from the Earth's center to a point on the spheroid surface at geodetic latitude : where a and b are, respectively, the equatorial radius and the polar radius. (e) For that Earth 1/q 289, that is near to the measured inverse flattening 1/f 298. These values correspond to the zero Earth tide convention. The circumference of the world may be the distance measured around it. Earth radius at sea level is 6378.137 km (3963.191 mi) at the equator. The radius of the earth's orbit is 45,000,000 meters. 371 106 m), the bottom unit of length within the Worldwide System of Units (SI). The cookie is used to store the user consent for the cookies in the category "Analytics". For best results, the minimum radius of the geofence should be set between 100 - 150 meters. 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. What is the radius of Earth in meters? N Aristotle (384-322 BC) was among the first to recognize the fact of our planet being a round sphere. 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. It is a physical constant which represents the most probable distance between the electron and the nucleus in a hydrogen atom in its ground state. {\displaystyle R_{2}} [9] Earth radius at sea level is 6378. [2], For Earth, the volumetric radius equals 6,371.0008km (3,958.7564mi).[13]. A) 4.5 x 10-7 B) 4.5 x 107 C) 45 x 10-6 D) 45 x 106 What is the formula to find radius of Earth? 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. Wind farms have different impacts on the environment compared to conventional power plants, but similar concerns exist over both the noise produced by the turbine blades and the . Have your partner do the same in her location. 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 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. How cold is it on moon? Andrew Blum gives some tips that could students in the high-school class in Clinton, Mississippi because they focus on the Eratosthenes project. Yes! At Baltimore, = 39.48o and the length is 111.16 km, nearly. The radius of the swimming pool water atom is roughly meters. which is different from the precise result by under 1m (4105in) the mean of these two axes. As an example, we will use Eratosthenes measurements. Other ways to define and measure the Earth radius involve the radius of curvature. This table summarizes the accepted values of the Earth's radius. Let us calculate area of earth using this formula area=4x22/76370= 5.110 4. 06. 6 m0. 137 km (3963. 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. 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. The radius is more like 6,371 kilometers at the north and south poles. It does not store any personal data. 01 Earths equatorial radius63781. 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. You can do this, too, by using his method. Circumference of the Earth in Meters Then convert km - m. 1 km = 1000 m. 12 756 km = ? In 200 B.C. T Lunar night time is also about two weeks long, during which the moon's temperature plummets to -208 degrees F (-130 C, 140 K) according to NASA. nasa.gov. [24] Claudius Ptolemy around 150AD gave empirical evidence supporting a spherical Earth,[25] but he accepted the lesser value attributed to Posidonius. Necessary cookies are absolutely essential for the website to function properly. Hence the required distance is. One can only adopt an idealized model. The mathematical expressions above apply over the top of ellipsoid. Our Planet radius is really a unit of distance utilized in astronomy and geology. What is the biggest problem with wind turbines? , Explanation: The Earth's radius (r) is 6371 km or 3959 miles, based on numbers from Wikipedia, which gives a circumference (c) of c = 2 * * r = 40 030 km We wish to find the height (h) which is the drop in curvature over the distance (d) Using the circumference we find that 1 kilometer has the angle 360 / 40 030 km = 0.009. What is the radius of the parallel of latitude? How to Calculate the Circumference of the Earth? This difference is the geoid height, positive above or outside the ellipsoid, negative below or inside. 2 Because these measurements are not done with more sensitive equipment, the radius calculation will be only approximate. => When Wi-Fi is available location accuracy is usually between 20 - 50 meters. Since the earth's surface is 6.37 x 10 6 m from its center (that's the radius of the earth), the satellite must be a height of. (C = 2r) With this information, Eratosthenes inferred that the Earths radius was 6366 km. => When indoor location is available, the accuracy range can be as small as 5 meters. Earth radius Conversion conversion table Earth radius to Meters Conversion Table Meters [ m ] The circumference of the world measured round the Equatoris approximtely 24,887. state. The Earths circumference is approximately 40,000,000 meters. The acceleration due to gravity at the surface of Earthis represented by the letter g. Given local and transient influences on surface height, the values defined below are based on a "general purpose" model, refined as globally precisely as possible within 5m (16ft) of reference ellipsoid height, and to within 100m (330ft) of mean sea level (neglecting geoid height). Learn what is circumference of a sphere, how to calculate the circumference of the Earth with the help of solved examples. George Jackson is the founder and lead contributor of Physics Network, a popular blog dedicated to exploring the fascinating world of physics. Go farther. The following radii are derived from the World Geodetic System 1984 (WGS-84) reference ellipsoid. Necessary cookies are absolutely essential for the website to function properly. {\displaystyle {\mathcal {R}}_{\mathrm {eE} }^{\mathrm {N} }} Arc length of more general surface curves, such as meridian arcs and geodesics, can also be derived from Earth's equatorial and polar radii. Earth's rotation, internal density variations, and external tidal forces cause its shape to deviate systematically from a perfect sphere. The radius of a circle is the straight-line distance from the very center of the circle to any point on the circle. West can be exchanged for east in this discussion. How do you find the radius of the earth from the circumference? r Use the protractor to measure the angle where the string meets the stick at the top. How many meters is the earth? And we end up with 12.6 meters per second , Firearm muzzle velocities range from approximately 120 m/s (390 ft/s) to 370 m/s (1,200 ft/s) in black powder muskets, to more than 1,200 m/s (3,900 ft/s) in modern rifles with high-velocity cartridges such as the , Summary. Its mean density is 1410 kg/m 3 or 0.255 times the mean density of Earth. Science atlas, our goal is to spark the curiosity that exists in all of us. The structure of the Earths upper mantle can be derived from seismic waves. 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. In summary, local variations in terrain prevent defining a single "precise" radius. r In particular, the Earth's meridional radius of curvature (in the northsouth direction) at is: where However, other factors such as the rotation of the Earth also contribute to the net acceleration. where e2 = a2 b2/a2 and A is the surface area of the spheroid. These cookies track visitors across websites and collect information to provide customized ads. [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. p This was due to the coincidence that Mars and Earth lined up with the Sun when the Earth was close to its farthest point from . In late August of 2003, Mars was at its closest point to Earth in about 60,000 years! | How do you find the radius of the Earth using trigonometry? By knowing the Equatorial diameter or the polar diameter of the Earth, the circumference can be found. Therefore, if the earth is taken to be a two dimensional object, its perimeter would be equal to the. Step 3 of 5. 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). This cookie is set by GDPR Cookie Consent plugin. N You have to use the distance from the center of the Earth, not the distance above Earth's surface, as the radius. The magnitude of the gravitational force between earth and an object is given by the formula. Geometrically, the second fundamental form gives the distance from Drive one of the meter sticks into the ground in your location in a sunny spot. [1]:4 Exercises. When the Moon is the farthest away, it's 252,088 miles away. The planet's rotation causes it to bulge at the equator. The distance between Syene and Alexandria is 787 kilometers, Eratosthenes used the ancient Greek measurement of stadia, but his calculations use the proportionality of angles between two locations, so any system of measurement will work. 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. Example 2. [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. 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. 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. The majority of the data posted was remarkably good, stated Jennifer Fischer, the APS project leader. Required fields are marked *. Earth's polar radius is 3,950 miles (6,356 km) a difference of 13 miles (22 km). 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 total mass of all the asteroids combined is less than that of Earth's Moon. The typical radius of the world is roughly 6. The actual radius of the earth is 6,378.1 kilometers at the equator, but the radius varies because the earth is a somewhat flattened sphere. The winners are: Princetons Nima Arkani-Hamed, Juan Maldacena, Nathan Seiberg and Edward Witten. 6378 X 2 = 12 756 km. What is the radius of Earth in exponential form? How do we measure the diameter of the Earth? 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. This cookie is set by GDPR Cookie Consent plugin. After many, many years, you will have some intuition for the physics you studied. 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.