= N It is known that the equatorial radius of the earth is R=6371km R = 6371 k m so, convert the unit of radius using the conversion factor. On solving the circumference of the earth we get 39,350 kilometres. These values correspond to the zero Earth tide convention. All Right Reserved. 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. Please enter the latitude in decimal degrees, here you can convert coordinates. The radius of a circle is the straight-line distance from the very center of the circle to any point on the circle. Now we know 2 things- 1. What is the Radius and Diameter of a Circle? This cookie is set by GDPR Cookie Consent plugin. Regarding this, what is the diameter of the Earth in scientific notation? The cookies is used to store the user consent for the cookies in the category "Necessary". + What does EARTH RADIUS mean? The Earth's Gaussian radius of curvature at latitude is:[12]. At Baltimore, = 39.48o and the length is 111.16 km, nearly. 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. This equation for acceleration can , Dry ice is the name for carbon dioxide in its solid state. The cookie is used to store the user consent for the cookies in the category "Performance". ) Eratosthenes estimated Earth's circumference at about 46,250 kilometers (28,735 miles). Using the parameters from WGS84 ellipsoid of revolution, a = 6,378.137 km and b = 6,356.7523142km, V = 1.083211012km3 (2.59881011cumi). are tangents to the surface. The accelerationwhich is gained by an object because of gravitational forceis called its acceleration due to gravity. for an oblate spheroid, the curvatures are. Earth's volume is estimated at 1 trillion cubic kilometers. This section describes the common ways. about 6,367.445km (3,956.547mi), can also be used. It does not store any personal data. What is the radius of Earth in gravitation? Measured around the poles, the circumference is 40,007.863 km (24,859.734 mi). You need to solve physics problems. Measured around the Equator, it is 40,075.017 km (24,901.461 mi). Wittenberg is a nationally ranked liberal arts institution with a particular strength in the sciences. 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. Video advice: What is EARTH RADIUS? w Use a scientific calculator. What is the fluid speed in a fire hose with a 9.00 cm diameter carrying 80.0 l of water per second? The majority of the data posted was remarkably good, stated Jennifer Fischer, the APS project leader. 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. 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. Earths Equatorial Radius to Meter Conversion TableEarths Equatorial RadiusMeter (m)0. Tack one end of a piece of string to the top of the stick. Equatorial radius is conventionally used as the nominal value unless the polar radius is explicitly required. Therefore, the distance you use in the equation is the distance between the two orbiting bodies. This quantity is denoted variously as . (C = 2r) With this information, Eratosthenes inferred that the Earths radius was 6366 km. This astronomical observation was confirmed by general observations made at sea. 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 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. The current best estimate for the mass of the Earth is M = 5.97221024 kg, with a standard uncertainty of 61020 kg (relative uncertainty 104). 6,371 kmEarth / RadiusAccording 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. For information on the Earth, see the Earth Fact Sheet. Likewise for surface area, either based on a map projection or a geodesic polygon. a) The radius of the earth is 4000 miles. In general, this points to an important conclusion about nature itself. However, for purposes of uniformity and use in geophysics and astronomy, the nominal earth radius is used, which is about 6, 371 km. Video advice: How Eratosthenes discovered the radius of the earth. 903 mi) at the poles and 6371. If we were to plot this it would show (setting, G = M = m = R = 1, and including force direction): A simple spring oscillator To understand what this means we'll look at a simple spring oscillator. A cylinder has a radius of 8 meters. The circumference of the world measured round the Equatoris approximtely 24,887. NASA Telescope Takes 12-Year Time-Lapse Movie of Entire Sky. 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. Ans. Then convert km - m. 1 km = 1000 m. 12 756 km = ? The equatorial circumference is simply the circle perimeter: Ce=2a, in terms of the equatorial radius, a. Circumference of Earth is the length or the distance around the Earth. Advertisement. y Furthermore, the bulge in the equator shows slow variations. = Due to the exaggerated eccentricity, it is easy to see that "up" is not parallel to the radius. However, Earth is not quite a sphere. {\displaystyle {\mathcal {R}}_{\mathrm {eE} }^{\mathrm {N} }} where in the first fundamental form for a surface (Equation (112) in[11]): E, F, and G are elements of the metric tensor: r , (The notation is defined such that it can be easily generalized for other planets; e.g., 1 Now that the radius of orbit has been found, the height above the earth can be calculated. Solution Verified Here x is the circumference of the earth. = The magnitude of the gravitational force between earth and an object is given by the formula. At the equator, the radius of Earth is 3963 miles (Diameter = 7926 miles). Where K is the Gaussian curvature, A meter is a meter, no matter what your zoom level is. to the plane tangent at J The bulge have been decreasing, consider 1998 the bulge has elevated, possibly because of redistribution of sea mass via currents. The cookie is used to store the user consent for the cookies in the category "Analytics". Solution for the radious of earth is 6378.1 km, which is 2981.1 km greater than the radius of mars. r 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.) How do you solve for radius and diameter? nasa.gov. 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. . is normal to the surface at b : the third and usually largest vein of an insects wing. 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. which differs from the exact result by less than 1m (4105in); the mean of the two axes. 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). Earth's surface area is an estimated 510 km2, and about 29% of the area is land while the other 71% consists of water. How do you find the radius of the Earth using trigonometry? Rather, elevation above or below sea level is useful. The first, titled Arturo Xuncax, is set in an Indian village in Guatemala. 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. , and because N [9] Today we know our planet's circumference is roughly 40,000 kilometers (24,850 miles). {\displaystyle K} {\displaystyle {\frac {\partial r}{\partial \varphi }}} The cookie is used to store the user consent for the cookies in the category "Performance". He studied in Athens at the Lyceum. It has an average density of 5.5 g/cm3. The cases below considers Earth's topography, above or below a reference ellipsoid. Using the parameters from WGS84 ellipsoid of revolution, a = 6,378.137 km and b = 6356.7523142km, V = 1.083211012km3 (2.59881011cumi).[17]. Thus, the radius of the earth in meters in scientific notation is 6.371106m. Hence 1km=10001000m=10m 6. {\displaystyle {\mathcal {R}}_{\mathrm {pE} }^{\mathrm {N} }} New Arrivals Expand Space Stations Crew to 6. Step 3 of 5. Acceleration due to gravity is a vector, which means it has both a magnitudeand a direction. Earths rotation, internal density variations, and external tidal forces cause its shape to deviate systematically from a perfect sphere. 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). In particular, the Earth's meridional radius of curvature (in the northsouth direction) at is: where [24] Claudius Ptolemy around 150AD gave empirical evidence supporting a spherical Earth,[25] but he accepted the lesser value attributed to Posidonius. The typical radius of the world is roughly 6. Earths circumference is the distance around Earth. What is the biggest problem with wind turbines? 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. Let us calculate area of earth using this formula area=4x22/76370= 5.110 4. What is the radius of the earth? Therefore, the Earth radius isn't constant, but it can be calculated for every location. 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. 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. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. At room temperature, it will go from a solid to a gas directly. p 191 mi) at the equator. Definitions and Formulas. Record the distance between your location and your partners location. Area of sphere= 4pier 2. What is the mass of this planet in terms of Earth's mass? r = m v 2 F c . What is the radius of Earth in meters? {\displaystyle {\frac {\partial r}{\partial \lambda }}} 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. But opting out of some of these cookies may affect your browsing experience. Now, lets plug in some numbers. How did early mathematicians determine the radius of the earth? 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 ). This idea predates satellite-based geodesy by centuries. Circumference of the Earth in Meters 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 . For Earth, the arithmetic mean radius is 6,371.0088km (3,958.7613mi). Asteroids range in size from Vesta - the largest at about 329 miles (530 kilometers) in diameter - to bodies that are less than 33 feet (10 meters) across. 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. Where R is the radius of the Earth. The magnitude of the gravitational force between earth and an object is given by the formula. The other two are the radii of curvature. b) Calculate the surface free-fall acceleration. find the radius of mars. 2. Compute the radius of the Earth using the formula C (circumference) = 2 x pi x r (radius). This length is also used as a unit of distance, especially in astronomy and geology, where it is usually denoted by R. A) 4.5 x 10-7 B) 4.5 x 107 C) 45 x 10-6 D) 45 x 106 Earth's diameter is simply twice Earth's radius; for example, equatorial diameter (2a) and polar diameter (2b). R p (e) For that Earth 1/q 289, that is near to the measured inverse flattening 1/f 298. We must convert the radius into centimeters: R Moon = 1738 km X (1000m / km) X (100cm / m) = 1.738 X 10 8 cm. Derived quantities: diameter, circumference, arc-length, area, volume, There is no single center to the geoid; it varies according to local. Well, the Moon is not always the same distance away from Earth. 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]. A model of a helicopter rotor has four blades, each of length 3.4 mm from the central shaft to the blade tip. K 2a : the bone on the thumb side of the human forearm also : a corresponding part of vertebrates above fishes. 2 In simple words, radius refers to that line, which originates from any point of the circle and touches the centre point the circle. 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 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). {\displaystyle F=f=0} By clicking Accept, you consent to the use of ALL the cookies. , Does Wittenberg have a strong Pre-Health professions program? The mathematical expressions above apply over the top of ellipsoid. The model is rotated in a wind tunnel at a rotational speed of 500 rev/minrev/min. The radius of a parallel of latitude is given by Also, explore tools to convert Earths equatorial radius or meter to other length units or learn more about length conversions. where. ), 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. [a] Local topography increases the variance, resulting in a surface of profound complexity. You can do this, too, by using his method. r Both of these values are very close to the accepted modern values for the Earths circumference and radius, 40,070 km and 6378 km respectively, which have since been measured by orbiting spacecraft. In a geocentric ellipsoid, the center of the ellipsoid coincides with some computed center of Earth, and best models the earth as a whole. Subtract the angle measurements to determine the difference in the angle of shadows between the two locations. In 200 B.C. 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 size of a frictional force is given by F, start subscript, f, end subscript, is less than or equal to, mu, R,FfR where R is the magnitude of the normal reaction force between the two surfaces and is the coefficient of friction between the two surfaces. 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. 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 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