Use the protractor to measure the angle where the string meets the stick at the top. The cases below considers Earth's topography, above or below a reference ellipsoid. Ans. The model is rotated in a wind tunnel at a rotational speed of 500 rev/minrev/min. 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. Using the parameters from WGS84 ellipsoid of revolution, a = 6,378.137 km and b = 6356.7523142km, V = 1.083211012km3 (2.59881011cumi).[17]. 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. Most experts think planet Earth can support about 10 billion people, and that when our population reaches that number, it will start to decline. {\displaystyle w^{1}=\varphi } One can only adopt an idealized model. 2 The value of standard gravity corresponds to the gravity on Earth at a radius of 6,375.4 kilometres (3,961.5 mi). 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. 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. It is with the values I gave you. and It is possible to combine the principal radii of curvature above in a non-directional manner. What is the formula of radius of nucleus? You need to ask yourself questions and then do problems to answer those questions. R Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. Q4. A body on the surface of a planet with the same radius as Earth's weighs 10 times more than it does on Earth. [ = Definition of radius 1 : a line segment extending from the center of a circle or sphere to the circumference or bounding surface. This idea predates satellite-based geodesy by centuries. 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. How do you find the radius of a gravitational field? What is velocity of bullet in the barrel? Thus, the surface of the earth at the equator moves at a speed of 460 meters per secondor roughly 1,000 miles per hour. r = 39350/ 6.28 = 6267 kilometer. 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). Ans. The total mass of all the asteroids combined is less than that of Earth's Moon. Earth radius at sea level is 6378. "The Earth's mass is about 5.98 10 24 kg". Equatorial radius is conventionally used as the nominal value unless the polar radius is explicitly required. 01 Earths equatorial radius63781. 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. Earth radius Conversion conversion table Earth radius to Meters Conversion Table Meters [ m ] The following radii are derived from the World Geodetic System 1984 (WGS-84) reference ellipsoid. Compute the circumference of the Earth using the distance and angle measurements you have. This is the outside layer of the earth and is made of solid rock, mostly basalt and granite. For the Earth, the authalic radius is 6,371.0072km (3,958.7603mi). By clicking Accept, you consent to the use of ALL the cookies. Thus, the radius of the earth in meters in scientific notation is 6.371106m. After many, many years, you will have some intuition for the physics you studied. At the poles, = 90o and the length = 110.95 km, nearly. Radius of sun is 695 500 km, so in meters you multiply by 1000. This cookie is set by GDPR Cookie Consent plugin. Earths Equatorial Radius to Meter Conversion Table, How to Convert Earths Equatorial Radius to Meter, Convert Earths Equatorial Radius to Other Length Units. F The cookie is used to store the user consent for the cookies in the category "Performance". Compute the radius of the Earth using the formula C (circumference) = 2 x pi x r (radius). Mathematically, Earth is a spheroid. What is the radius of Earth in exponential form? => When Wi-Fi is available location accuracy is usually between 20 - 50 meters. 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 . Your partner should measure at the same time, regardless of time difference. 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. Sun: radius = 696,000 kilometers, 100 times larger. Circumference of the Earth in Meters Tack one end of a piece of string to the top of the stick. Since the estimate by Eratosthenes, many models have been created. The bulge had been decreasing, but since 1998 the bulge has increased, possibly due to redistribution of ocean mass via currents. Therefore, if the earth is taken to be a two dimensional object, its perimeter would be equal to the. Earth Radius by Latitude Calculator Calculates radius and diameter of the Earth for a given latitude. The orbit is not a perfect circle. Earth's polar radius is 3,950 miles (6,356 km) a difference of 13 miles (22 km). See answer. Earth's surface area is an estimated 510 km2, and about 29% of the area is land while the other 71% consists of water. K How do you use the Pythagorean Theorem to find the radius of the earth? (clarification needed). Drive one of the meter sticks into the ground in your location in a sunny spot. 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. The geoid height can change abruptly due to earthquakes (such as the Sumatra-Andaman earthquake) or reduction in ice masses (such as Greenland).[5]. 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. A) 4.5 x 10-7 B) 4.5 x 107 C) 45 x 10-6 D) 45 x 106 What is the radius of the parallel of latitude? So, for him the following relationship between objects will apply: 7.2 / 360 = 787 / x. The height above sea level of the location is added. It does not store any personal data. The earth is made up of three different layers: the crust, the mantle and the core. arrow_forward. Measure the angle of the shadow of your meter stick when the sun is overhead and the shadow is smallest, often known as local noon (when the sun is exactly north-south in the sky at its highest point). T A: . The one exception: The flattening in the original definition of WGS84 was a calculated value, based on the Earths second dynamic form factor as determined from satellite orbits ($\bar C_{2,0}$ in WGS84, $J_2$ in GRS80). Necessary cookies are absolutely essential for the website to function properly. Now, lets plug in some numbers. 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. . The expedition found that Newton's conjecture was correct:[30] the Earth is flattened at the poles due to rotation's centrifugal force. George Jackson is the founder and lead contributor of Physics Network, a popular blog dedicated to exploring the fascinating world of physics. a) The diameter of the earth is approximately 1.276 1 0 7 1.276 \times 10^7 1.276107 m in scientific notation. All Right Reserved. r The radius is more like 6,371 kilometers at the north and south poles. The accelerationwhich is gained by an object because of gravitational forceis called its acceleration due to gravity. The physical radius, the distance from the center of the earth to the ellipsoid is the least used. {\displaystyle p=N\cos(\varphi )} e 2 At Baltimore, = 39.48o and the length is 111.16 km, nearly. 756 mi) on average. How do you express the earths diameter in scientific notation? Because these measurements are not done with more sensitive equipment, the radius calculation will be only approximate. which differs from the exact result by less than 1m (4105in); the mean of the two axes. Wittenberg is a nationally ranked liberal arts institution with a particular strength in the sciences. = Scholars have interpreted Aristotle's figure to be anywhere from highly accurate[20] to almost double the true value. + Therefore, the Earth radius isn't constant, but it can be calculated for every location. about 6,367.445km (3,956.547mi), can also be used. 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. The Earth's mean radius of curvature at latitude is:[12]:97. r . 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 . Eratosthenes methods result in a formula that would look like this: 39,350 = 2 x 3.14 x r, or 6,267 kilometers. The answer would be 695 500 000 m. Wiki User. T While specific values differ, the concepts in this article generalize to any major planet. Escape velocity = = 22.4 km/sec. 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 What is the radius of Earth in gravitation? 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. The nominal radius serves as a unit of length for astronomy. r An arc of 1 radian = the radial distance of the the latitude circle, from. Refer to the WGS-84 ellipsoid if a more precise value for its polar radius is needed. For this calculation, the longitude isn't needed. 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. In Eratosthenes case, the distance was 787 kilometers, so for him, the following relation applied: where x = the circumference of the Earth in kilometers. 2 The cookie is used to store the user consent for the cookies in the category "Other. Record the distance between your location and your partners location. Hence, we create models to approximate characteristics of Earths surface, generally relying on the simplest model that suits the need. | Instant free online tool for Earths equatorial radius to meter conversion or vice versa. 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). 1 As an example, we will use Eratosthenes situation. The radius of the Earth is 6371 km. for an oblate spheroid, the curvatures are. The mathematical expressions above apply over the surface of the ellipsoid. r R {\displaystyle r+dr} View this answer. 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. These cookies will be stored in your browser only with your consent. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. Its surface gravity is 274 m/s 2 or 28.0 times that of the Earth. The corresponding radius of curvature depends on the location and direction of measurement from that point. Find the level of Earth in cubic meters. Earth radius conversions Convert Earth radius to other length and distance measurement units using a free online calculator for length/distance unit conversions. The structure of the Earths upper mantle can be derived from seismic waves. Nowadays there are better ellipsoids when it comes to supplying a much better fit to mean ocean level compared to WGS84 ellipsoid. Make sure both sticks are perpendicular to the Earth and that the same length of stick protrudes from the ground. 2. The acceleration due to gravity at the surface of Earthis represented by the letter g. By knowing the Equatorial diameter or the polar diameter of the Earth, the circumference can be found. close. 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. Have your partner do the same in her location at the exact same time. The cookie is used to store the user consent for the cookies in the category "Performance". , and because Using the parameters from WGS84 ellipsoid of revolution, a = 6,378.137 km and b = 6,356.7523142km, V = 1.083211012km3 (2.59881011cumi). He observed lunar eclipses and noticed that only a round sphere could imply a circular shadow. Estimates of the accuracy of Eratosthenes's measurement range from 0.5% to 17%. Q4. Earth's volume is estimated at 1 trillion cubic kilometers. a) Calculate the average density of the white dwarf. Due to the exaggerated eccentricity, it is easy to see that "up" is not parallel to the radius. So if you measure at 11:00am in New York, they should measure at 9:00am in Colorado because of the time difference. Do NOT follow this link or you will be banned from the site! , They are vertices of the ellipse and also coincide with minimum and maximum radius of curvature. Putting in the numbers, you have Dividing both sides by m1 gives you the acceleration due to gravity: Newton's law of gravitation gives you the acceleration due to gravity near the surface of the Earth: 9.8 meters/second 2. As the parallels run east and west, places having the same latitude will be due east or due west of each other.

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