Earth radius conversions Convert Earth radius to other length and distance measurement units using a free online calculator for length/distance unit conversions. [ Make sure both sticks are perpendicular to the Earth and that the same length of stick protrudes from the ground. The diameter is the distance from side to side, if you. Literature guides . h is the transmitting antenna height above the ground,. Regarding this, what is the diameter of the Earth in scientific notation? Solution Verified . = 6,356.8km (3,949.9mi). Answered: the radious of earth is 6378.1 km, | bartleby What is the radius of the earth equation? [Ultimate Guide!] The total mass of all the asteroids combined is less than that of Earth's Moon. Solar System Homework #1 Answers - austincc.edu r = 39350/ 6.28 = 6267 kilometer. He received his Ph.D. in physics from the University of California, Berkeley, where he conducted research on particle physics and cosmology. What is the real radius of the earth? , Does Wittenberg have a strong Pre-Health professions program? 149597870700 meters nearly This is 10-sd (significant digits) approximation. Eratosthenes was born around 276 B.C., which is now Shahhat, Libya. Solved Gravity:In physics, it is established that the | Chegg.com What is the Radius and Diameter of a Circle? Technology similar to the instruments that are used to survey Earth can also be found all across the solar system. The average radius of the earth is 6.38x106 meters. 6,371,000 metersThe value, symbolized rearth, is equal to approximately 6,371,000 meters (6.371 x 106 m). January 2023: The Next Full Moon is the Wolf or Ice Moon. Make sure both sticks are perpendicular to the earth and that the same length of stick protrudes from the ground. Refer to the WGS-84 ellipsoid if a more precise value for its polar radius is needed. The reason for keeping those older values was GPS. \text{Circumference} = 39,350 \text{\ kilometers}. 7564mi). You also have the option to opt-out of these cookies. Definitions and Formulas. Drive one of the meter sticks into the ground in your location in a sunny spot. 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. Eratosthenes was born around 276 B.C., which is now Shahhat, Libya. The polar radius of the Earth is 3,950 miles (6,356), which is a 13-mile (22-kilometer) difference. The radius of the earth is 6378 km. What is the diameter of the earth See answer. However, Earth is not quite a sphere. 0008km (3,958. Have Bugged an area Rock to pay attention In on Earthlings? Ans. Point B, which appears due east from A, will be closer to the equator than A. This length is also used as a unit of distance, especially in astronomy and geology, where it is usually denoted by R. This astronomical observation was confirmed by general observations made at sea. r You have to use the distance from the center of the Earth, not the distance above Earth's surface, as the radius. Earth's rotation, internal density variations, and external tidal forces cause its shape to deviate systematically from a perfect sphere. 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. However, for purposes of uniformity and use in geophysics and astronomy, the nominal earth radius is used, which is about 6, 371 km. The value of standard gravity corresponds to the gravity on Earth at a radius of 6,375.4 kilometres (3,961.5 mi). F Earth's volume, or that of the reference ellipsoid, is V = 4/3a2b. [2] All three values are about 6,371 kilometres (3,959mi). Around 1690, Isaac Newton and Christiaan Huygens argued that Earth was closer to an oblate spheroid than to a sphere. This measurement also introduces another fun source of error that actually comes from the motion of Earth and other similar planetary bodies in the solar system. The dashed line designates the radius to one point on the surface. In 200 B.C. There are two principal radii of curvature: along the meridional and prime-vertical normal sections. EARTH RADIUS meaning & explanation. {\displaystyle w^{1}=\varphi } 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). = Earth, on the other hand, isn't quite a sphere. Equatorial radius is conventionally used as the nominal value unless the polar radius is explicitly required. For Eratosthenes, at midday on the summer solstice where the suns angle was directly overhead, the angle was zero. Estimates of the accuracy of Eratosthenes's measurement range from 0.5% to 17%. The first person to determine the size of Earth was Eratosthenes of Cyrene, who produced a surprisingly good measurement using a simple scheme that combined geometrical calculations with physical observations. What is the formula to find radius of 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. Eastwest directions can be misleading. 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 Also a photographer, she records adventures by camera, combining photos with journals in her blogs. Earth Radius by Latitude Calculator - Rechneronline - Ntzliche Rechner Record the distance between your location and your partners location. 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. Today we know our planet's circumference is roughly 40,000 kilometers (24,850 miles). 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. The IUGG denotes the volumetric radius as R3. Answer: Starter The radius of the moon is 1,737,000 meters. Does Bohrs model explain radius of an orbit? 2023 Leaf Group Ltd. / Leaf Group Media, All Rights Reserved. = 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.) An arc of 1 radian = the radial distance of the the latitude circle, from. One reason that our program is so strong is that our . By the Numbers | Earth - NASA Solar System Exploration Hence the required distance is. This implies that for a given mass and velocity, a large centripetal force causes a small radius of curvaturethat is, a tight curve, as in (Figure). 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. c) Calculate the gravitational potential energy associated with a 4.93-kg object at the 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? Reviving Erastosthenes, 2022-year-old experiment using the angle of the sun to measure the radius of the Earth. \text {Circumference} = 39,350 \text {\ kilometers} Circumference = 39,350 kilometers. are tangents to the surface. [24] Claudius Ptolemy around 150AD gave empirical evidence supporting a spherical Earth,[25] but he accepted the lesser value attributed to Posidonius. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". Answered: You drive down the road at 35 m/s (79 | bartleby Moon Fact Sheet - NASA They are vertices of the ellipse and also coincide with minimum and maximum radius of curvature. {\displaystyle R_{2}} 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. 6.371 10 6 m . is the unit normal to the surface at find the radius of mars. is normal to the surface at 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. Earth radius - Wikipedia The bulge had been decreasing, but since 1998 the bulge has increased, possibly due to redistribution of ocean mass via currents. Drive one of the meter sticks into the ground in your location in a sunny spot. If you wish to convert a small difference of latitude or longitude into the linear distance on the surface of the earth, then the spherical earth equation would be, = = dE R cos d dN R d , What is the radius of Earth in meters? | Homework.Study.com When he's not busy exploring the mysteries of the universe, George enjoys hiking and spending time with his family. y 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. Its "up" direction there is shown with a black segment: it is, by definition, perpendicular to the ellipse at that point. How do you find the radius of the earth from latitude? A nominal Earth radius is sometimes used as a unit of measurement in astronomy and geophysics, which is recommended by the International Astronomical Union to be the equatorial value.[1]. [ Video advice: What is EARTH RADIUS? Scholars have interpreted Aristotle's figure to be anywhere from highly accurate[20] to almost double the true value. The orbit is not a perfect circle. {\displaystyle {\frac {\partial r}{\partial \varphi }}} See the formula used in an example where we are given the diameter of the sphere. 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. At the poles, = 90o and the length = 110.95 km, nearly. Calculating Earths Volume Averaging these two numbers yields a mean radius of 6,371.0 kilometers (3,958.7 miles), which in turn yields an approximate value for the volume of the Earth of 1.08 quadrillion cubic kilometers (259 trillion cubic miles). which is different from the precise result by under 1m (4105in) the mean of these two axes. The cookie is used to store the user consent for the cookies in the category "Other. Based on data taken by 183 high-school classes taking part in a global Year of Physics project, Appraise the Earth with Shadows, the radius of Earth is 6563 km, when compared to recognized value for that mean radius of 6371 km. Exercises. This website uses cookies to improve your experience while you navigate through the website. The radius of a circle is the straight-line distance from the very center of the circle to any point on the circle. Q4. The equation for Keplers Third Law is P = a, so the period of a planets orbit (P) squared is equal to the size semi-major axis of the orbit (a) cubed when it is expressed in astronomical units. 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. What is the radius of the earth in meters in scientific notation? At the equator, = 0 and this arc length = 111.32 km, nearly. The expedition found that Newton's conjecture was correct:[30] the Earth is flattened at the poles due to rotation's centrifugal force. For Eratosthenes, the arc was 7.2 degrees. How do you find the radius of a planet in physics? , 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. Like a torus, the curvature at a point will be greatest (tightest) in one direction (northsouth on Earth) and smallest (flattest) perpendicularly (eastwest). But opting out of some of these cookies may affect your browsing experience. Earth's polar radius is 3,950 miles (6,356 km) a difference of 13 miles (22 km). to have an oblate spheroid, the curvatures are. [9] How do you find the acceleration of a system? {\displaystyle n={\frac {N}{|N|}}} However, Earth is not quite a sphere. The Earth's Gaussian radius of curvature at latitude is:[12]. Likewise for surface area, either based on a map projection or a geodesic polygon. The acceleration due to gravity at the surface of Earthis represented by the letter g. T Do NOT follow this link or you will be banned from the site! Your email address will not be published. A Just how much is really a trillion in scientific notation? (clarification needed). The value of the radius is completely dependent upon the latitude in the case of an ellipsoid model, and nearly so on the geoid. [2] Step 2 of 5. = Thus, the radius of the earth in meters in scientific notation is 6.371106m. b) Calculate the surface free-fall acceleration. This is roughly 6,371 kilometers (km) or 3,960 statute miles. The Earth is slightly oblate, so its radius in the plane of the equator is a little larger than its radius along the rotational axis. The WGS84 reference ellipsoid is now just that, a reference ellipsoid (that is, its the ellipsoid used as a reference by GPS and related systems). 1 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. What is the radius of the earth in physics? [Updated!] For Earth, the arithmetic mean radius is 6,371.0088km (3,958.7613mi). , which is defined to be 6,378.1km (3,963.2mi). nasa.gov. Unless you know indoor location is available inside the geofence, assume that Wi-Fi . Therefore, if the earth is taken to be a two dimensional object, its perimeter would be equal to the. The circumference of the Earth depends on how it is measured. E Because the Earth isnt perfectly spherical but instead an oblate spheroid, our planet radius is larger in the equator than in the rods. The red dot at the lower left corner is its center. 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 Q. Because these measurements are not done with more sensitive equipment, the radius calculation will be only approximate. Solving for x reveals the circumference to be. 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. E 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. Radius of Earth - adda247 The bulge have been decreasing, consider 1998 the bulge has elevated, possibly because of redistribution of sea mass via currents. 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. What is the fluid speed in a fire hose with a 9.00 cm diameter carrying 80.0 l of water per second? You can do this, too, by using his method. Geodetic ellipsoids are better suited to regional idiosyncrasies of the geoid. How do you solve for radius and diameter? Earth is the third planet from the sun. Write it in scientific notation. T [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. Earth: By the Numbers - NASA (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? You need to ask yourself questions and then do problems to answer those questions. Initially, the idea of a reference ellipsoid was an ellipsoid that best approximated mean ocean level. nasa.gov. By knowing the Equatorial diameter or the polar diameter of the Earth, the circumference can be found. How to Calculate a Satellite's Speed around the Earth state. Skip to main content. Instant free online tool for Earths equatorial radius to meter conversion or vice versa. 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. A The earth is made up of three different layers: the crust, the mantle and the core. = in the second fundamental form for a surface (Equation (123) in[11]): e, f, and g are elements of the shape tensor: n