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

3.2.2.2Non-directional 4Global radii 4.1Nominal radius 4.2Arithmetic mean radius 4.3Authalic radius 4.4Volumetric radius 4.5Rectifying radius 5Topographical radii 5.1Topographical extremes 5.2Topographical global mean 6Derived quantities: diameter, circumference, arc-length, area, volume 7Published values 8History 9See also 10Notes 11References Its SIunit is m/s2. 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. 371 106 meters (Earth radius 6. This website uses cookies to improve your experience while you navigate through the website. The radius of the swimming pool water atom is roughly meters. to the plane tangent at What is the number in scientific notation? These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. Q. [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. You need to ask yourself questions and then do problems to answer those questions. h is the transmitting antenna height above the ground,. , The answer would be 695 500 000 m. Wiki User. A to the plane tangent at Created by Sal Khan and Monterey Institute for Technology and Education. 06. Now we know 2 things- 1. This length is also used as a unit of distance, especially in astronomy and geology, where it is usually denoted by R. T 1. Earth radius at sea level is 6378.137 km (3963.191 mi) at the equator. Its better to have a reference ellipsoid that is constant over time than it is to have an ever improving best fit ellipsoid. nasa.gov. In the third century B.C., Eratosthenes was able to mathematically calculate the earths diameter by comparing differences in the angle of the suns rays at two separate geographic points. The acceleration due to gravity at the surface of Earthis represented by the letter g. Thus, the radius of the earth in meters in scientific notation is 6.371106m. The dashed line designates the radius to one point on the surface. In particular, the Earth's meridional radius of curvature (in the northsouth direction) at is: where A model of a helicopter rotor has four blades, each of length 3.4 mm from the central shaft to the blade tip. Q4. Answer (1 of 3): First of all let us consider the shape of the earth to be a sphere. also corresponds to the radius of (global) mean curvature, obtained by averaging the Gaussian curvature, A The radius of the earth is the straight distance from the earth's center to a point on its surface. 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. Compute the circumference of the Earth using the distance and angle measurements you have. The mathematical expressions above apply over the top of ellipsoid. T {\displaystyle w^{1}=\varphi } 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. All Right Reserved. This cookie is set by GDPR Cookie Consent plugin. [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. Analytical cookies are used to understand how visitors interact with the website. stands for the radius of the Earth. det But opting out of some of these cookies may affect your browsing experience. Testing, Testing: Space-Bound US-European Water Mission Passes Finals. = Answer: Starter The radius of the moon is 1,737,000 meters. The equatorial circumference is simply the circle perimeter: Ce=2a, in terms of the equatorial radius, a. The cookies is used to store the user consent for the cookies in the category "Necessary". How do you solve for radius and diameter? {\displaystyle R_{2}} 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. ] Earth is the third planet from the sun. Eratosthenes was born around 276 B.C., which is now Shahhat, Libya. b) Calculate the surface free-fall acceleration. det This table summarizes the accepted values of the Earth's radius. Gravitational attraction from the Moon or Sun can cause the Earth's surface at a given point to vary by tenths of a meter over a nearly 12-hour period (see Earth tide). , The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". = 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. What is the radius of the parallel of latitude? Today we know our planet's circumference is roughly 40,000 kilometers (24,850 miles). R = 6371 km is the mean Earth radius.. [Mass of the earth is 6 x 1024 kg and radius of the earth is 6.4 x 106 m]. Sun: radius = 696,000 kilometers, > 100 occasions bigger. 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. {\displaystyle {\mathcal {R}}_{\mathrm {pJ} }^{\mathrm {N} }} Sometimes more are aboard the station during a crew handover. It does not store any personal data. Video advice: How Eratosthenes discovered the radius of the earth. Hence, we create models to approximate characteristics of Earth's surface, generally relying on the simplest model that suits the need. 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. How did early mathematicians determine the radius of the earth? x . 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. Example 2. . These cookies track visitors across websites and collect information to provide customized ads. 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. , which is defined to be 6,378.1km (3,963.2mi). . .[10]. \text {Circumference} = 39,350 \text {\ kilometers} Circumference = 39,350 kilometers. [d] It is also common to refer to any mean radius of a spherical model as "the radius of the earth". The cookie is used to store the user consent for the cookies in the category "Other. 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. 1 Obviously, nobody is claiming how big Earth has really altered. The following radii are derived from the World Geodetic System 1984 (WGS-84) reference ellipsoid. New Arrivals Expand Space Stations Crew to 6. The mathematical expressions above apply over the surface of the ellipsoid. Semi-minor axis b = 6356752.3142 meters. b : the third and usually largest vein of an insect's wing. Thus, the surface of the earth at the. Tack one end of a piece of string to the top of the stick. (clarification needed). N R=6370 3. ( 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. Physics, 22. You have to use the distance from the center of the Earth, not the distance above Earth's surface, as the radius. Please enter the latitude in decimal degrees, here you can convert coordinates. . (The notation is defined such that it can be easily generalized for other planets; e.g., 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. A body on the surface of a planet with the same radius as Earth's weighs 10 times more than it does on Earth. At what distance above the surface of earth, the gravitational force will be reduced by 10%, if the radius of earth is 6370 Km. about 6,367.445km (3,956.547mi), can also be used. T he circumference of the Earth (around the equator) is approximately 24,887 miles. What physical measurement / elevation is used to define Earths radius? Ans. Your email address will not be published. | which is different from the precise result by under 1m (4105in) the mean of these two axes. A How much is a trillion in scientific notation? How to Calculate the Circumference of the 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]. This topographical average is 6,371.230km (3,958.899mi) with uncertainty of 10m (33ft).[16]. The adolescent protagonists of the sequence, Enrique and Rosa, are Arturos son and , The payout that goes with the Nobel Prize is worth $1.2 million, and its often split two or three ways. For Eratosthenes, at midday on the summer solstice where the suns angle was directly overhead, the angle was zero. Now we know 1km=1000m 5. Solution for the radious of earth is 6378.1 km, which is 2981.1 km greater than the radius of mars. 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. The following is a partial list of models of Earth's surface, ordered from exact to more approximate: In the case of the geoid and ellipsoids, the fixed distance from any point on the model to the specified center is called "a radius of the Earth" or "the radius of the Earth at that point". Because these measurements are not done with more sensitive equipment, the radius calculation will be only approximate. Thus the curvature found this way is smaller than the curvature of a circle of constant latitude, except at the equator. nasa.gov. How do you express the earths diameter in scientific notation? Through derivation, we find a logical connection between a natural phenomenon and a mathematical description of that phenomenon. , find the radius of mars. After many, many years, you will have some intuition for the physics you studied. 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. r = 39350/ 6.28 = 6267 kilometer. What is the radius of the earth? Our goal is to make science relevant and fun for everyone. Who first calculated the radius of the earth? The circumference of the world may be the distance measured around it. (clarification needed). [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. Measuring the Circumference of the Earth. Circumference of Earth is the length or the distance around the Earth. \text{Circumference} = 39,350 \text{\ kilometers}. They are vertices of the ellipse and also coincide with minimum and maximum radius of curvature. Its nice to determine that measurements taken by a lot of groups, sometimes in under ideal conditions, came so near to the right answer. In late August of 2003, Mars was at its closest point to Earth in about 60,000 years! where in the first fundamental form for a surface (Equation (112) in[11]): E, F, and G are elements of the metric tensor: r = What is the real radius of the earth? It is possible to combine the principal radii of curvature above in a non-directional manner. Well, the Moon is not always the same distance away from Earth. Record the distance between your location and your partners location. The IUGG denotes the volumetric radius as R3. Make sure both sticks are perpendicular to the Earth and that the same length of stick protrudes from the ground. 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. Earth radius at sea level is 6378. 2 The value for the equatorial radius is defined to the nearest 0.1m in WGS-84. where. As such, they are topographical geocentric distances, Rt, which depends not only on latitude. 752 km (3949. What is the fluid speed in a fire hose with a 9.00 cm diameter carrying 80.0 l of water per second? This idea predates satellite-based geodesy by centuries. N The accelerationwhich is gained by an object because of gravitational forceis called its acceleration due to gravity. Responsibility disclaimer and privacy policy | About Us | Terms & Conditions | Site Map, Scientific discoveries from around the world. You can do this, too, by using his method. Scholars have interpreted Aristotle's figure to be anywhere from highly accurate[20] to almost double the true value. 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. B , So escape velocity = . What is the Radius and Diameter of a Circle? r How do you find the radius in circular motion? Regarding this, what is the diameter of the Earth in scientific notation? There are two types of crust; oceanic and continental. The following radii are derived from the World Geodetic System 1984 (WGS-84) reference ellipsoid. The geoid height variation is under 110m (360ft) on Earth. What happens to the dry ice at room pressure and temperature? The cookie is used to store the user consent for the cookies in the category "Other. Using the Gauss-Bonnet theorem, this gives, Another spherical model is defined by the Earth's volumetric radius, which is the radius of a sphere of volume equal to the ellipsoid. Therefore, the difference was 7.2 degrees. Hence 1km=10001000m=10m 6. for an oblate spheroid, the curvatures are. By knowing the Equatorial diameter or the polar diameter of the Earth, the circumference can be found. One can only adopt an idealized model. In this state, it would have approximately the same mass as it has now, but its radius would be equal to the radius of the Earth. Make sure both sticks are perpendicular to the earth and that the same length of stick protrudes from the ground. Its the only planet with life. Note that this arc is along a great circle. Around 1690, Isaac Newton and Christiaan Huygens argued that Earth was closer to an oblate spheroid than to a sphere. 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. Because the Earth isnt perfectly spherical but instead an oblate spheroid, our planet radius is larger in the equator than in the rods. 1 Earths equatorial radius637816 m1 Earths equatorial radius6378160 m2 Earths equatorial radius12756320 m3 Earths equatorial radius19134480 m5 Earths equatorial radius31890800 m10 Earths equatorial radius63781600 m20 Earths equatorial radius127563200 m50 Earths equatorial radius318908000 m100 Earths equatorial radius637816000 m1000 Earths equatorial radius6378160000 mHow to Convert Earths Equatorial Radius to Meter1 Earths equatorial radius = 6378160 m1 m = 1. Also, explore tools to convert Earths equatorial radius or meter to other length units or learn more about length conversions. N As the parallels run east and west, places having the same latitude will be due east or due west of each other. Earth's polar radius is 3950 miles (Diameter = 7900 miles). The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". The Earths equatorial radius to meter (m) conversion table and conversion steps are also listed. a) The radius of the earth is 4000 miles. = In Eratosthenes case, the distance was 787 kilometers, so for him, the following relation applied: where x = the circumference of the Earth in kilometers. University of Texas: Eratosthenese Finds Diameter of Earth, Partner in a distant location on about the same longitude or in the same time zone. Earth's diameter is simply twice Earth's radius; for example, equatorial diameter (2a) and polar diameter (2b). When he's not busy exploring the mysteries of the universe, George enjoys hiking and spending time with his family. p How far (in meter) does it travel in the first 3 seconds? Record the distance between your location and your partners location. This is the outside layer of the earth and is made of solid rock, mostly basalt and granite. 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). Compute the radius of the Earth using the formula C (circumference) = 2 x pi x r (radius). The circumference of the world measured round the Equatoris approximtely 24,887. 6.371 10 6 m . What is the radius of Earth in gravitation? r = m v 2 F c . The first, titled Arturo Xuncax, is set in an Indian village in Guatemala. The distance between Syene and Alexandria is 787 kilometers. When we rearrange the equation and plug all the numbers in, we find that the mass of the Earth is 5.96 1024 kg. After completing his doctoral studies, he decided to start "ScienceOxygen" as a way to share his passion for science with others and to provide an accessible and engaging resource for those interested in learning about the latest scientific discoveries. m. 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. Refer to the WGS-84 ellipsoid if a more precise value for its polar radius is needed. 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. F It is the smallest planet in the Solar System, with an equatorial radius of 2,439.7 km. => When indoor location is available, the accuracy range can be as small as 5 meters. Its mean density is 1410 kg/m 3 or 0.255 times the mean density of Earth. All other parallels of latitude are small circles, each having a radius smaller than that of the earth, i.e. Born and raised in the city of London, Alexander Johnson studied biology and chemistry in college and went on to earn a PhD in biochemistry. Definitions and Formulas. 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. [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. Using the parameters from WGS84 ellipsoid of revolution, a = 6,378.137 km and b = 6356.7523142km, V = 1.083211012km3 (2.59881011cumi).[17]. The structure of the Earths upper mantle can be derived from seismic waves. The other two are the radii of curvature. The cookie is used to store the user consent for the cookies in the category "Analytics". Of course, no one is claiming the size of Earth has actually changed. for the nominal polar Jupiter radius. Where K is the Gaussian curvature, Step 2 of 5. NASA Telescope Takes 12-Year Time-Lapse Movie of Entire Sky. This cookie is set by GDPR Cookie Consent plugin. Go farther. {\displaystyle F=f=0} At the poles, = 90o and the length = 110.95 km, nearly. 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} What is the scientific name for Earth? Rather, elevation above or below sea level is useful. Eastwest directions can be misleading. Analytical cookies are used to understand how visitors interact with the website. Literature guides . The radius of orbit indicates the distance that the satellite is from the center of the earth. Q4. 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). Examples collapse all Earth Radius in Meters View the mean radius of the Earth using the default units, meters. It is the only planet in our solar system that sustains life and it is the planet that we can call our own. Point B, which appears due east from A, will be closer to the equator than A. Drive one of the meter sticks into the ground in your location in a sunny spot. 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 Thus, the radius of the earth in meters in scientific notation is 6.371106m. e => When Wi-Fi is available location accuracy is usually between 20 - 50 meters. As a consequence of this, the polar radius is closer to 6,356.7 kilometers. E {\displaystyle {\mathcal {R}}_{\mathrm {eE} }^{\mathrm {N} }} How do you find the radius with mass and gravity? At room temperature, it will go from a solid to a gas directly. With [Mass of the earth is 6 x 1024 kg and radius of the earth is 6.4 x 106 m]. 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. close. Learn what is circumference of a sphere, how to calculate the circumference of the Earth with the help of solved examples. 1 By knowing the Equatorial diameter or the polar diameter of the Earth, the circumference can be found. [13], The authalic radius Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. When it's closest, the Moon is 225,623 miles away. 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 . Definition of radius 1 : a line segment extending from the center of a circle or sphere to the circumference or bounding surface. The magnitude of the gravitational force between earth and an object is given by the formula. Write it in scientific notation. Where R is the radius of the Earth. 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. Radius of sun is 695 500 km, so in meters you multiply by 1000. The expedition found that Newton's conjecture was correct:[30] the Earth is flattened at the poles due to rotation's centrifugal force. Point on the ellipsoid surface can be defined by the parametric curve equation. 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. First week only $6.99! K What is the number in scientific notation? Definition of radius 1 : a line segment extending from the center of a circle or sphere to the circumference or bounding surface. The reason for keeping those older values was GPS. A meter is a meter, no matter what your zoom level is. The following equation estimates the ellipsoid radius ( r s ) using flattening ( f ) , geocentric latitude ( s ) , and equatorial radius ( R ) : r s = R 2 1 + [ 1 / ( 1 f ) 2 1 ] sin 2 s . Solving for x reveals the circumference to be. ] is the eccentricity of the earth. The average radius of the earth is 6.38x106 meters. For information on the Earth, see the Earth Fact Sheet. You need to solve physics problems. Furthermore, the bulge in the equator shows slow variations. Advertisement. Earths Equatorial Radius to Meter Conversion Table, How to Convert Earths Equatorial Radius to Meter, Convert Earths Equatorial Radius to Other Length Units. = Earths Equatorial Radius to Meter Conversion TableEarths Equatorial RadiusMeter (m)0. See the formula used in an example where we are given the diameter of the sphere. A closed-form solution exists for a spheroid:[14]. How do you find the radius of the Earth using trigonometry? Eratosthenes estimated Earth's circumference at about 46,250 kilometers (28,735 miles). Radius of planet R = 2 x radius of earth = 2 x 6.4 x 10 6 m. G = gravitational constant = 6.67 x 10-11 N m 2 /kg 2. This value is between 6,378 km, particularly around the equator and about 6,357 km at the poles. Video advice: How We Calculated the Radius of Earth. The Earths circumference is approximately 40,000,000 meters. 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. (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? January 2023: The Next Full Moon is the Wolf or Ice Moon. 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. One reason that our program is so strong is that our . Because these measurements are not done with more sensitive equipment, the radius calculation will be only approximate. What is velocity of bullet in the barrel? 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. Skip to main content. r Sun: radius = 696,000 kilometers, 100 times larger. The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. The circumference of the Earth depends on how it is measured. The radius of earth, is the distance from the centre of the Earth to a point on or near its surface, and it ranges from nearly 6,378 km to nearly 6,357 km, dhanyaranjan Published On January 28th, 2022 Table of Contents Radius of Earth in Physics The symbol R? As such, they are topographical geocentric distances, Rt, which depends not only on latitude. 903 mi) at the poles and 6371. Ans. Therefore, if the earth is taken to be a two dimensional object, its perimeter would be equal to the. p are tangents to the surface. Subtract the angle measurements to determine the difference in the angle of shadows between the two locations. Initially, the idea of a reference ellipsoid was an ellipsoid that best approximated mean ocean level. p . In astronomy, the International Astronomical Union denotes the nominal equatorial Earth radius as How many miles is a meter in scientific notation? Then convert km - m. 1 km = 1000 m. 12 756 km = ? 7564mi). So escape velocity of the planet will be 22.4 km/sec 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. [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. This quantity is denoted variously as . The nominal radius serves as a unit of length for astronomy. is the unit normal to the surface at 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.

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