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

f Also a photographer, she records adventures by camera, combining photos with journals in her blogs. Through derivation, we find a logical connection between a natural phenomenon and a mathematical description of that phenomenon. What is the fluid speed in a fire hose with a 9.00 cm diameter carrying 80.0 l of water per second? b) Calculate the surface free-fall acceleration. [6] It is an idealized surface, and the Earth measurements used to calculate it have an uncertainty of 2m in both the equatorial and polar dimensions. Earth's polar radius is 3,950 miles (6,356 km) a difference of 13 miles (22 km). {\displaystyle {\mathcal {R}}_{\mathrm {pJ} }^{\mathrm {N} }} F As such, they are topographical geocentric distances, Rt, which depends not only on latitude. Could E.T. Have your partner do the same in her location at the exact same time. Then convert km - m. 1 km = 1000 m. 12 756 km = ? 1 The distance between Syene and Alexandria is 787 kilometers. 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. Asked By: Lena Frontelo | Last Updated: 18th May, 2020, Earth is the third planet from the sun. Please enter the latitude in decimal degrees, here you can convert coordinates. There are two types of crust; oceanic and continental. University of Texas: Eratosthenese Finds Diameter of Earth, Partner in a distant location on about the same longitude or in the same time zone. J Hence the required distance is. which differs from the exact result by less than 1m (4105in); the mean of the two axes. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. 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. This cookie is set by GDPR Cookie Consent plugin. , In particular, the Earth's meridional radius of curvature (in the northsouth direction) at is: where 756 mi) on average. Enchanted Learning. 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. 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. A {\displaystyle {\frac {\partial r}{\partial \varphi }}} Karren Doll Tolliver holds a Bachelor of English from Mississippi University for Women and a CELTA teaching certificate from Akcent Language School in Prague. NASA Telescope Takes 12-Year Time-Lapse Movie of Entire Sky. Earth radius is the distance from Earth's center to its surface, about 6,371 km (3,959 mi). Aristotle (384-322 BC) was among the first to recognize the fact of our planet being a round sphere. The cases below considers Earth's topography, above or below a reference ellipsoid. Thus, the surface of the earth at the. 2 r The circumference of the world may be the distance measured around it. What is the mass of this planet in terms of Earth's mass? But opting out of some of these cookies may affect your browsing experience. Eratosthenes methods result in a formula that would look like this: 39,350 = 2 x 3.14 x r, or 6,267 kilometers. When it is measured around the equator, it is40,075 km (approximately, 24,901 miles), whereas, if it measured from the north pole to the south pole it is40,008 km (approximately, 24,860 miles). Our descriptions of Earths surface must be simpler than reality in order to be tractable. 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 . Derived quantities: diameter, circumference, arc-length, area, volume, There is no single center to the geoid; it varies according to local. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. 0 Due to the exaggerated eccentricity, it is easy to see that "up" is not parallel to the radius. He also shares personal stories and insights from his own journey as a scientist and researcher. Earth radius at sea level is 6378.137 km (3963.191 mi) at the equator. Its "up" direction there is shown with a black segment: it is, by definition, perpendicular to the ellipse at that point. The red dot at the lower left corner is its center. Area of sphere= 4pier 2. 7564mi). High School Students Measure New Value for Earths Radius to Celebrate World Physics Year. Earths Equatorial Radius to Meter Conversion TableEarths Equatorial RadiusMeter (m)0. Mass (10 24 kg) 5.9722 Volume (10 10 km 3) 108.321 Equatorial radius (km) 6378.137 Polar radius (km) 6356.752 Volumetric mean radius (km) 6371.000 Core radius (km) 3485 Ellipticity (Flattening) 0.003353 Mean density (kg/m 3) 5513 Surface gravity (m/s 2) 9.798 Surface acceleration (m/s 2) 9.780 Escape velocity (km/s) 11.186 GM (x 10 6 km 3 /s 2) What physical measurement / elevation is used to define Earths radius? The distance to the centre of the Earth has been taken as the volumetric mean radius of the Earth: 6,371km. 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. Solving for x reveals the circumference to be. , Eastwest directions can be misleading. The Bohr model of the atom predicted the radius of the lowest-energy electron orbit. The mathematical expressions above apply over the surface of the ellipsoid. 1 R When he's not busy exploring the mysteries of the universe, George enjoys hiking and spending time with his family. Scholars have interpreted Aristotle's figure to be anywhere from highly accurate[20] to almost double the true value. Well, the Moon is not always the same distance away from Earth. By clicking Accept, you consent to the use of ALL the cookies. Like a torus, the curvature at a point will be greatest (tightest) in one direction (northsouth on Earth) and smallest (flattest) perpendicularly (eastwest). . = We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. [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. They are vertices of the ellipse and also coincide with minimum and maximum radius of curvature. The extrema geocentric radii on the ellipsoid coincide with the equatorial and polar radii. We also use third-party cookies that help us analyze and understand how you use this website. ( Note that the dimensions of h, R and d must be . 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. In 1993 the WGS84 governing committee voted, with one exception, to retain the 1984 defining values, despite improvements to those defining values. 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. [13], Earth's authalic radius (meaning "equal area") is the radius of a hypothetical perfect sphere that has the same surface area as the reference ellipsoid. The polar circumference equals Cp=4mp, four times the quarter meridian mp=aE(e), where the polar radius b enters via the eccentricity, e=(1b2/a2)0.5; see Ellipse#Circumference for details. Your email address will not be published. The first published reference to the Earth's size appeared around 350BC, when Aristotle reported in his book On the Heavens[19] that mathematicians had guessed the circumference of the Earth to be 400,000 stadia. What is the radius of the earth? Q. Note that this arc is along a great circle. {\displaystyle {\mathcal {R}}_{\mathrm {pE} }^{\mathrm {N} }} The radius is more like 6,371 kilometers at the north and south poles. r The cookie is used to store the user consent for the cookies in the category "Other. The following radii are derived from the World Geodetic System 1984 (WGS-84) reference ellipsoid. to have an oblate spheroid, the curvatures are. w This is the outside layer of the earth and is made of solid rock, mostly basalt and granite. ] K Equatorial radius a (called semi-major axis), and polar radius b (called semi-minor axis); a and eccentricity e; a and flattening f. WGS 84 defines ellipsoid parameters as: Semi-major axis a = 6378137.0 meters. 2 The Earth's Gaussian radius of curvature at latitude is:[12]. arrow_forward. You have to find the circumference. The radius of Earth is 6370000 m. Express this measurement in km in scientific notation with the correct number of significant digits. h is the transmitting antenna height above the ground,. Wittenberg is a nationally ranked liberal arts institution with a particular strength in the sciences. The earth is made up of three different layers: the crust, the mantle and the core. Start your trial now! This idea predates satellite-based geodesy by centuries. The circumference of the world measured round the Equatoris approximtely 24,887. Find the level of Earth in cubic meters. How do you use the Pythagorean Theorem to find the radius of the earth? At the equator, the radius of Earth is 3963 miles (Diameter = 7926 miles). How do you find the radius of the Earth using trigonometry? (C = 2r) With this information, Eratosthenes inferred that the Earths radius was 6366 km. 6.371 10 6 m . Tack one end of a piece of string to the top of the stick. The standard English name of the planet, including in science, is Earth. The value of standard gravity corresponds to the gravity on Earth at a radius of 6,375.4 kilometres (3,961.5 mi). 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. Where K is the Gaussian curvature, e Rather, elevation above or below sea level is useful. E Multiplyin. 903 mi) at the poles and 6371. , For Earth, the volumetric radius equals 6,371. where may be the angular frequency, G may be the gravitational constant, and M may be the mass from the planet. The typical radius of the world is roughly 6. The bulge have been decreasing, consider 1998 the bulge has elevated, possibly because of redistribution of sea mass via currents. Equatorial radius is conventionally used as the nominal value unless the polar radius is explicitly required. The IUGG denotes the volumetric radius as R3. How to Calculate the Circumference of the Earth? [clarification needed]. 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. . N However, other factors such as the rotation of the Earth also contribute to the net acceleration. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. This astronomical observation was confirmed by general observations made at sea. , Its the only planet with life. [7] Additional discrepancies caused by topographical variation at specific locations can be significant. Strictly speaking, spheres are the only solids to have radii, but broader uses of the term radius are common in many fields, including those dealing with models of Earth. A model of a helicopter rotor has four blades, each of length 3.4 mm from the central shaft to the blade tip. You need to solve physics problems. nasa.gov. R The planet's rotation causes it to bulge at the equator. 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. As a consequence of this, the polar radius is closer to 6,356.7 kilometers. The physical radius, the distance from the center of the earth to the ellipsoid is the least used. What is the radius of Earth in meters? Added 2022-02-06 15:04:59 subject Physics by rsa072001. The total mass of all the asteroids combined is less than that of Earth's Moon. What is the real radius of 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. Radius of sun is 695 500 km, so in meters you multiply by 1000. 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. Solving for x reveals the circumference to be. (b) Repeat part (a) with the sun in place of the earth. 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.) 371 106 m), the bottom unit of length within the Worldwide System of Units (SI). In a geocentric ellipsoid, the center of the ellipsoid coincides with some computed center of Earth, and best models the earth as a whole. Mathematically, Earth is a spheroid. Compute the circumference of the Earth using the distance and angle measurements you have. 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. This requires an elliptic integral to find, given the polar and equatorial radii: The rectifying radius is equivalent to the meridional mean, which is defined as the average value of M:[14]. Who first calculated the radius of the earth?