what is the radius of the earth in meters

{\displaystyle p=N\cos(\varphi )} {\displaystyle r} The various radii derived here use the notation and dimensions noted above for the Earth as derived from the WGS-84 ellipsoid;[6] namely. Oceanic crust is denser and thinner and mainly composed of basalt. These cookies ensure basic functionalities and security features of the website, anonymously. Refer to the WGS-84 ellipsoid if a more precise value for its polar radius is needed. 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. Record the measurements. You also have the option to opt-out of these cookies. [13], The authalic radius Copyright 2022 - Science-Atlas.com. Who first calculated the radius of the earth? 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. Find the volume of Earth in cubic meters. What is the mean radius of the earth is 6370 km. (a) What is - Quora R = earthRadius returns the scalar value 6,371,000, the mean radius of the Earth in meters. While carbon dioxide gas is invisible, the very cold gas , Turbines produce noise and alter visual aesthetics. 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. What is the Radius and Diameter of a Circle? The planet bulges at the equator as a result of its rotation. We know that the acceleration due to gravity is equal to 9.8 m/s2, the Gravitational constant (G) is 6.673 1011 Nm2/kg2, the radius of the Earth is 6.37 106 m, and mass cancels out. This calculated value became a defining value in 1993. What is the radius of the earth? What is the formula of radius of nucleus? 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. How did early mathematicians determine the radius of the earth? Geometrically, the second fundamental form gives the distance from We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. Aristotle (384-322 BC) was among the first to recognize the fact of our planet being a round sphere. Scholars have interpreted Aristotle's figure to be anywhere from highly accurate[20] to almost double the true value. 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). What is the fluid speed in a fire hose with a 9.00 cm diameter carrying 80.0 l of water per second? (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? 903 mi) at the poles and 6371. [2] All three values are about 6,371 kilometres (3,959mi). in the second fundamental form for a surface (Equation (123) in[11]): e, f, and g are elements of the shape tensor: n One can only adopt an idealized model. The Earth's Gaussian radius of curvature at latitude is:[12]. How do you find the radius of a planet in physics? This video will show you how Eratosthenes calculated the circumference and radius of the Earth in 240 BC!! Circumference of the Earth - Cuemath 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. Radius of the earth in meters - AssignmentGeek What happens to the dry ice at room pressure and temperature? A Just how much is really a trillion in scientific notation? A model of a helicopter rotor has four blades, each of length 3.4 mm from the central shaft to the blade tip. What is the permiter of the Earth? Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. Necessary cookies are absolutely essential for the website to function properly. How do you find the radius of the earth from the circumference? . Around 1690, Isaac Newton and Christiaan Huygens argued that Earth was closer to an oblate spheroid than to a sphere. How fast is the earth moving? - Scientific American = The geoid height variation is under 110m (360ft) on Earth. The cookies is used to store the user consent for the cookies in the category "Necessary". These cookies track visitors across websites and collect information to provide customized ads. cos 2 ) is the distance from the center of Earth to a point on or near its surface. {\displaystyle n={\frac {N}{|N|}}} {\displaystyle R_{2}} Earth's polar radius is 3,950 miles (6,356 km) a difference of 13 miles (22 km). You need to ask yourself questions and then do problems to answer those questions. High School Students Measure New Value for Earth's Radius to Celebrate What is velocity of bullet in the barrel? 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. George Jackson is the founder and lead contributor of Physics Network, a popular blog dedicated to exploring the fascinating world of physics. What is the radius of the earth equation? [Ultimate Guide!] Therefore, the difference was 7.2 degrees. The radius of the earth is 6371 km. where in the first fundamental form for a surface (Equation (112) in[11]): E, F, and G are elements of the metric tensor: r Asked By: Lena Frontelo | Last Updated: 18th May, 2020, Earth is the third planet from the sun. An international crew of seven people live and work while traveling at a speed of five miles per second, orbiting Earth about every 90 minutes. . Overview | Asteroids - NASA Solar System Exploration The IUGG denotes the authalic radius as R2. The planet's rotation causes it to bulge at the equator. How do you find the radius in circular motion? Each of the models in common use involve some notion of the geometric radius. 752 km (3949. 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). 2 According to NASA's Goddard Space Flight Center, Earth's radius at the equator is 3,963 miles (6,378 kilometers). [a] Local topography increases the variance, resulting in a surface of profound complexity. Radius refers to a line that connects to the centre point of a circle to any point on its outside layer. 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. , and because ) 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. Estimates of the accuracy of Eratosthenes's measurement range from 0.5% to 17%. When it's closest, the Moon is 225,623 miles away. radius of earth in meters scientific notation, Convert Earths Equatorial Radius to Meter, What Is Radius Of Gyration In Civil Engineering, High Definition 3D Printer Prints 5 Meters per Second, Most Precise Measurement Ever from the Radius of the Planet Outdoors Our Solar System, Scientists Uncover How Quickly-Flying Bats Can Achieve Great Heights well over 1,600 Meters, What Is The Ploidy Of This Cell Model Mastering Biology, Do The Laws Of Thermodynamics Apply In Space, How To Change Google Earth Language To English, Worlds greatest-dwelling squid spotted 20,000 ft underneath the ocean, Hatches Open! Use scientific notation to show the above value of the radius. The equatorial radius of Earth is actually 6,378.1 kilometers. 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. r Make sure both sticks are perpendicular to the Earth and that the same length of stick protrudes from the ground. Measurement of Earths circumference has been important to navigation since ancient times. . Through derivation, we find a logical connection between a natural phenomenon and a mathematical description of that phenomenon. = The magnitude of the gravitational force between earth and an object is given by the formula. T Advertisement. ] 2 degrees. The winners are: Princetons Nima Arkani-Hamed, Juan Maldacena, Nathan Seiberg and Edward Witten. 71% of Earths surface is water. (b) Repeat part (a) with the sun in place of the earth. which differs from the exact result by less than 1m (4105in); the mean of the two axes. Added 2022-02-06 15:04:59 subject Physics by rsa072001. 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. and = Analytical cookies are used to understand how visitors interact with the website. A The radius of the earth is the straight distance from the earth's center to a point on its surface. is the unit normal to the surface at Mathematically, Earth is a spheroid. Earth radius is the distance from Earth's center to its surface, about 6,371 km (3,959 mi). 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. Eratosthenes estimated Earth's circumference at about 46,250 kilometers (28,735 miles). The majority of the data posted was remarkably good, stated Jennifer Fischer, the APS project leader. Given you're looking for a simple formula, this is probably the simplest way to do it, assuming that the Earth is a sphere with a circumference of 40075 km. 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. b : the third and usually largest vein of an insect's wing. which differs from the exact result by less than 1m (4105in); the mean of the two axes. Unless you know indoor location is available inside the geofence, assume that Wi-Fi . 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 {\displaystyle r} h is the transmitting antenna height above the ground,. All other parallels of latitude are small circles, each having a radius smaller than that of the earth, i.e. View this answer. Example 2. 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). Historically, these models were based on regional topography, giving the best reference ellipsoid for the area under survey. A) 4.5 x 10-7 B) 4.5 x 107 C) 45 x 10-6 D) 45 x 106 Step 3 of 5. a) The radius of the earth is 4000 miles. e 64miles, whereas, whether it ismeasured round the rods, it isapproximately 24,806 miles. 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. It does not store any personal data. [clarification needed]. 257. 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. The cookie is used to store the user consent for the cookies in the category "Analytics". Ocean Worlds Resources. The meridional mean is well approximated by the semicubic mean of the two axes,[citation needed]. also corresponds to the radius of (global) mean curvature, obtained by averaging the Gaussian curvature, A sphere being a gross approximation of the spheroid, which itself is an approximation of the geoid, units are given here in kilometers rather than the millimeter resolution appropriate for geodesy. The cookie is used to store the user consent for the cookies in the category "Performance". In a geocentric ellipsoid, the center of the ellipsoid coincides with some computed center of Earth, and best models the earth as a whole. 2013-09-16 00:47:38. Solve the following problems. If mass of a planet is eight times the At the equator, the radius of Earth is 3963 miles (Diameter = 7926 miles). 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. \text{Circumference} = 39,350 \text{\ kilometers}. 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). => When Wi-Fi is available location accuracy is usually between 20 - 50 meters. What is the radius of the earth in physics? [Updated!] At room temperature, it will go from a solid to a gas directly. E The equatorial circumference is simply the circle perimeter: Ce=2a, in terms of the equatorial radius, a. d state. Earth is the third planet from the sun. 1 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. {\displaystyle {\mathcal {R}}_{\mathrm {pJ} }^{\mathrm {N} }} What you need is to convert a meter into degrees since long/lat is a polar coordinate system.With the circumference of Earth being 40,075 km, you get 0.00000898315 deg/m which you need to multiply with the size of the object (1 m) to get the degrees which you have to add to your coordinate to get a point which intersects with the radius of . 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. e So, radius of nth orbit is rn=rn2, as Z=1 for H atom. 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) Its volume is 803.84 cubic meters. arrow_forward. Have your partner do the same in her location. 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. N 1 Rotation of a planet causes it to approximate an oblate ellipsoid/spheroid with a bulge at the equator and flattening at the North and South Poles, so that the equatorial radius a is larger than the polar radius b by approximately aq. Skip to main content. [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. One reason that our program is so strong is that our . That's almost 32 Earths. Examples collapse all Earth Radius in Meters View the mean radius of the Earth using the default units, meters. 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. Answer: Starter The radius of the moon is 1,737,000 meters. This is roughly 6,371 kilometers (km) or 3,960 statute miles. As an example, we will use Eratosthenes measurements.

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