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

The IUGG denotes the volumetric radius as R3. Earth's polar radius is 3,950 miles (6,356 km) a difference of 13 miles (22 km). Regarding this, what is the diameter of the Earth in scientific notation? 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 carbon dioxide gas is invisible, the very cold gas , Turbines produce noise and alter visual aesthetics. Sun: radius = 696,000 kilometers, 100 times larger. Eratosthenes' methods result in a formula that would look like this: 39,350 = 2 x 3.14 x r, or 6,267 kilometers. The following radii are derived from the World Geodetic System 1984 (WGS-84) reference ellipsoid. The radius of the earth's orbit is 45,000,000 meters. The answer would be 695 500 000 m. Wiki User. 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. Additionally, the bulge at the equator shows slow variations. Thus, the surface of the earth at the. Earths rotation, internal density variations, and external tidal forces cause its shape to deviate systematically from a perfect sphere. A The cookie is used to store the user consent for the cookies in the category "Performance". Above we see an object with mass m attached to a spring. example R = earthRadius (lengthUnit) returns the mean radius of the Earth using the length unit specified by lengthUnit. NASA Telescope Takes 12-Year Time-Lapse Movie of Entire Sky. A model of a helicopter rotor has four blades, each of length 3.4 mm from the central shaft to the blade tip. Earth radius at sea level is 6378.137 km (3963.191 mi) at the equator. He studied in Athens at the Lyceum. close. Our descriptions of Earths surface must be simpler than reality in order to be tractable. For the WGS84 ellipsoid, that's respectively: Earth's circumference equals the perimeter length. ), 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 orbit is not a perfect circle. How did we determine the size of the Earth? As a consequence of this, the polar radius is closer to 6,356.7 kilometers. Andrew Blum gives some tips that could students in the high-school class in Clinton, Mississippi because they focus on the Eratosthenes project. The circumference of the Earth depends on how it is measured. Due to the exaggerated eccentricity, it is easy to see that "up" is not parallel to the radius. Earth, on the other hand, isn't quite a sphere. [9] where in the first fundamental form for a surface (Equation (112) in[11]): E, F, and G are elements of the metric tensor: r View this answer. Her latest book, "A Travel for Taste: Germany," was published in 2015. By knowing the Equatorial diameter or the polar diameter of the Earth, the circumference can be found. This video will show you how Eratosthenes calculated the circumference and radius of the Earth in 240 BC!! This is the outside layer of the earth and is made of solid rock, mostly basalt and granite. Example 2. How do you find the radius in circular motion? , Equatorial radius is conventionally used as the nominal value unless the polar radius is explicitly required. A closed-form solution exists for a spheroid:[14]. First of NASA's SunRISE SmallSats Rolls Off Production Line. z At the poles, = 90o and the length = 110.95 km, nearly. is the eccentricity of the earth. In Eratosthenes case, the distance was 787 kilometers, so for him, the following relation applied: where x = the circumference of the Earth in kilometers. Now we know 2 things- 1. Oceanic crust is denser and thinner and mainly composed of basalt. Its nice to determine that measurements taken by a lot of groups, sometimes in under ideal conditions, came so near to the right answer. r 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 . {\displaystyle r} N Solution for the radious of earth is 6378.1 km, which is 2981.1 km greater than the radius of mars. Through derivation, we find a logical connection between a natural phenomenon and a mathematical description of that phenomenon. This quantity is denoted variously as . E Arc length of more general surface curves, such as meridian arcs and geodesics, can also be derived from Earth's equatorial and polar radii. How do you find the radius of the earth from latitude? 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. What is the fluid speed in a fire hose with a 9.00 cm diameter carrying 80.0 l of water per second? J 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 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. The circumference of the world may be the distance measured around it. How far is the center of the Earth in KM? 6.371 10 6 m . 2 The radius of the sun at 696,000 km is 109 times the Earth's radius. You can do this, too, by using his method. 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. The extrema geocentric radii on the ellipsoid coincide with the equatorial and polar radii. , b) Calculate the surface free-fall acceleration. The radius of orbit indicates the distance that the satellite is from the center of the earth. This length is also used as a unit of distance, especially in astronomy and geology, where it is usually denoted by R. (The notation is defined such that it can be easily generalized for other planets; e.g., In general, this points to an important conclusion about nature itself. Do NOT follow this link or you will be banned from the site! Q4. This topographical average is 6,371.230km (3,958.899mi) with uncertainty of 10m (33ft).[16]. 2023 Leaf Group Ltd. / Leaf Group Media, All Rights Reserved. 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. Has got the radius of Earth mysteriously grown by about 3%? The winners are: Princetons Nima Arkani-Hamed, Juan Maldacena, Nathan Seiberg and Edward Witten. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. This value is between 6,378 km, particularly around the equator and about 6,357 km at the poles. The corresponding radius of curvature depends on the location and direction of measurement from that point. In a geocentric ellipsoid, the center of the ellipsoid coincides with some computed center of Earth, and best models the earth as a whole. The bulge had been decreasing, but since 1998 the bulge has increased, possibly due to redistribution of ocean mass via currents. Instant free online tool for Earths equatorial radius to meter conversion or vice versa. R=6370 3. cos The physical radius, the distance from the center of the earth to the ellipsoid is the least used. For the Earth, the authalic radius is 6,371.0072km (3,958.7603mi). 0 where e2 = a2 b2/a2 and A is the surface area of the spheroid. The information were posted by senior high school classes all over the US, plus some in Canada and Mexico, employed in pairs. = The bulge have been decreasing, consider 1998 the bulge has elevated, possibly because of redistribution of sea mass via currents. 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 Furthermore, the bulge in the equator shows slow variations. Measured around the poles, the circumference is 40,007.863 km (24,859.734 mi). The planet bulges at the equator as a result of its rotation. 371 106 meters (Earth radius 6. When it's closest, the Moon is 225,623 miles away. In late August of 2003, Mars was at its closest point to Earth in about 60,000 years! For integration limits of [0,/2], the integrals for rectifying radius and mean radius evaluate to the same result, which, for Earth, amounts to 6,367.4491km (3,956.5494mi). Subtract the angle measurements to determine the difference in the angle of shadows between the two locations. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. 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. = Earth radius (denoted as R or Surveyors today use a variety of instruments and calculations to determine the size of the Earth and collect other relevant data. 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). The cookie is used to store the user consent for the cookies in the category "Other. Definition of radius 1 : a line segment extending from the center of a circle or sphere to the circumference or bounding surface. In his writing, Alexander covers a wide range of topics, from cutting-edge medical research and technology to environmental science and space exploration. Mass of planet M = 8 x mass of earth = 8 x 6 x 10 24 kg. ( 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. 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). p According to Newtons second law of motion, the acceleration of an object equals the net force acting on it divided by its mass, or a = F m . Point on the ellipsoid surface can be defined by the parametric curve equation. , For Earth, the volumetric radius equals 6,371. How did Aristotle know the earth was round? Thus, the radius of the earth in meters in scientific notation is 6.371106m. {\displaystyle r} This video explains how humans managed to measure the circumference of the earth long long ago using simple math, reasoning and assumptions. What is the formula to find radius of Earth? It does not store any personal data. Measurement of Earths circumference has been important to navigation since ancient times. 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. Solving for x reveals the circumference to be. Use scientific notation to show the above value of the radius. As such, they are topographical geocentric distances, Rt, which depends not only on latitude. to the plane tangent at What is the number in scientific notation? . . The red dot at the lower left corner is its center. 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. r . This cookie is set by GDPR Cookie Consent plugin. R = 6371 km is the mean Earth radius.. What is the radius of the parallel of latitude? So, radius of nth orbit is rn=rn2, as Z=1 for H atom. Its "up" direction there is shown with a black segment: it is, by definition, perpendicular to the ellipse at that point. r 2. For Eratosthenes, at midday on the summer solstice where the suns angle was directly overhead, the angle was zero. {\displaystyle r=[r^{1},r^{2},r^{3}]^{T}=[x,y,z]^{T}} 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. What is the permiter of the Earth? 1o = 180 radian. r The polar radius of the Earth is 3,950 miles (6,356), which is a 13-mile (22-kilometer) difference. The following radii are derived from the World Geodetic System 1984 (WGS-84) reference ellipsoid. The space station is 356 feet (109 meters) end-to-end, one yard shy of the full length of an American football field including the end . Point B, which appears due east from A, will be closer to the equator than A. We must convert the radius into centimeters: R Moon = 1738 km X (1000m / km) X (100cm / m) = 1.738 X 10 8 cm. You also have the option to opt-out of these cookies. to have an oblate spheroid, the curvatures are. F (clarification needed). An Enormous, Unknown Cambrian Bug Fossil Has Been Discovered within the Eerie Burgess Shale, Ancient Tracks May Be The Oldest Hominin Footprints Ever Found, Scientists Say, By 2500, Earth Will Be Alien To Humans If We Dont Act Now, Scientists Warn, Responsibility disclaimer and privacy policy, Topics Related to Circumference of the Earth. Therefore, the difference was 7.2 degrees. How do you find the radius of the Earth using trigonometry? 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 T Earth radius conversions Convert Earth radius to other length and distance measurement units using a free online calculator for length/distance unit conversions. [f], This Earth's prime-vertical radius of curvature, also called the Earth's transverse radius of curvature, is defined perpendicular (orthogonal) to M at geodetic latitude is:[g], N can also be interpreted geometrically as the normal distance from the ellipsoid surface to the polar axis. and Advertisement. 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. The Earths circumference is approximately 40,000,000 meters. The radius of a circle is the straight-line distance from the very center of the circle to any point on the circle. 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. Earth, the third planet from the sun, is one of the most unique celestial bodies in our solar system. You can do this, too, by using his method. + R A Just how much is really a trillion in scientific notation? less than 6400 km. These values correspond to the zero Earth tide convention. Please enter the latitude in decimal degrees, here you can convert coordinates. wikipedia article on the Juno spacecraft provides an a great overview of this type of process. The radius of the swimming pool water atom is roughly meters. The radius of a parallel of latitude is given by (a) Local topography increases the variance, resulting in a surface of profound complexity. (C = 2r) With this information, Eratosthenes inferred that the Earths radius was 6366 km. y By clicking Accept, you consent to the use of ALL the cookies. 1 View a sample solution. R 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. 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. An arc of 1 radian = the radial distance of the the latitude circle, from. How cold is it on moon? 001 km (3958. r For this calculation, the longitude isn't needed. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. Wittenberg is a nationally ranked liberal arts institution with a particular strength in the sciences. The core is found about 2,900 kilometers (1,802 miles) below Earth's surface, and has a radius of about 3,485 kilometers (2,165 miles). Hence, we create models to approximate characteristics of Earth's surface, generally relying on the simplest model that suits the need.