(c) will be same everywhere in magnitude directed towards the centre. The sphere is an approximation of the figure of the Earth that is satisfactory for many purposes. However, the Earth is an approximate sphere, and the shortest distance between two points on the surface of a sphere is an arc known as ‘the great circle distance’. The earth is nearly flat: Precise and approximate algorithms for detecting vulnerable regions of networks in the plane and on the sphere Balázs Vass 1László Németh2 János Tapolcai 1MTA-BME Future Internet Research Group and MTA-BME Information Systems Research Group, Department of Telecommunications and Media Informatics, Budapest University of Technology and Economics, … To calculate the actual motion of the Sun, only the motions of the four giant planets (Jupiter, Saturn, Uranus, Neptune) need to be considered. Our descriptions of Earth's surface must be simpler than reality in order to be tractable. (We have R= 28×52, ... this will correspond to r= 0.01 above, its approximate circumference will be around 400 km and its area approximately 12000 km2. Comment . The radius of Earth is 6.38 X 10^6 m. Cute. so the volume of the earth is: 4/3 pi r^3. Let F1 = weight on the surface at radius r1. They have a fairly interesting map of the Earth as well. All examples in this section assume the WGS 84 datum, with an equatorial radius "a" of 6,378.137 km and a polar radius "b" of 6,356.752 km. These are illustrated in the figure below. Great circle distance. Let m1 = mass of person. Hence, we create models to approximate characteristics of Earth's surface, generally relying … $\endgroup$ – Gaialogist Apr 29 '14 at 17:07 If the interior contained matter which is not of the same density everywhere, then on the surface of the earth, the acceleration due to gravity (a) will be directed towards the centre but not the same everywhere (b) will have the same value everywhere but not directed towards the centre (c) will be same everywhere in magnitude directed towards the centre (d) cannot be zero at … A hollow sphere has a uniform volume charge density of 4.61 nC/m3. B)The tide is causing an increase in the depth of the ocean. What is your estimate of the radius of the Earth’s sphere given the following distance/angle pairs. Approximate the Earth as a uniform sphere. What is the magnitude of the electric field at 21.9 cm from the center of the sphere? physics- please help me! This force is zero at the poles and greatest at the equator, resulting in a slightly squashed appearance for the body. D)The sailboat is moving around the curved surface of Earth. … This formula (4/3πr 3) requires the radius of the Earth. More recent measurements have measured the geoid to unprecedented accuracy, revealing mass concentrations beneath Earth's surface. Consequently, two main reference surfaces have been established to approximate the shape of the Earth. People who have traveled by air or solely checked flight routes have probably noticed that flights don’t follow a … The great … This is extremely difficult due to the complex interactions of the planets' … ExamplesEarthThe radius of the earth is given by 6400 km thus its surface will be 500 million square kilometers. Physicists often approximate the shape of the Earth as a sphere even though more accurate representations are possible, because many physical characteristics (e.g., gravity) are much easier to calculate for a sphere than for other shapes. In fact the errors will be given by … These examples are two common world spheroids used today with their values rounded to the nearest meter. Use the equation for the volume of a sphere which is V = 4/3 x Radius 3 The mean radius of the earth is approximately 6.4 million meters (exact = 6.37 x 10 6 m). Assume the Earth is approximately a sphere (not and elllipsoid). Ask yourself why a round earth makes this possible. earth. The earth's shape is an ellipsoid. Approximate the Earth as a uniform sphere. The inner radius is a = 14.6 cm and the outer radius is b = 43.8 cm. We can "explain" a confusion, but you have not "explained" why you are unable to answer the question yourself. 4.2 Approximate algorithms for disasters with arbitrary shape Understanding how to deal with circular disk failures is a good start; however, one should consider other disaster shapes too. As the science of geodesy measured Earth more accurately, the shape of the geoid was first found not to be a perfect sphere but to approximate an oblate spheroid, a specific type of ellipsoid. - Physics. However on the spherical surface area, those will be somewhat shorter than had the Earth been flat. What is . The atmosphere is one of four subsystems on Earth. Solution Show Solution. While the sphere is a close approximation of the true figure of the Earth and satisfactory for many purposes, to the geodesists interested in the measurement of long distances—spanning continents and oceans—a more exact figure is necessary. Between the troposphere and the stratosphere is the tropopause which marks the approximate upper limit of mixing in the lower atmosphere. British scientists, led by Isaac Newton, theorized that the centrifugal force from the earth's rotation would force the earth to "spread out" from east to west as it rotated about its axis. Figure of the Earth is a term of art in geodesy that refers to the size and shape used to model Earth.The size and shape it refers to depend on context, including the precision needed for the model. a.) If the interior contained matter which is not of the same density everywhere, then on the surface of the earth, the acceleration due to gravity(a) will be directed towards the centre but not the same everywhere(b) will have the same value everywhere but not directed towards the centre(c) will be same everywhere in magnitude directed towards the centre(d) cannot be zero at … 1.Which sphere of earth covers approximately 70% of Earth's surface? In order to find the volume of the Earth you need more information than just the volume of a sphere formula. … If the Earth was substantially displaced from the center, this division into visible and … that is the answer. Somewhere it should derive the fact that outer shells exert … Many astronomical and navigational computations use it as a surface representing the Earth. The diameter of the Earth at the equator is 7926.68 miles (or 12756.75 km). Now, to find the radius, divide the diameter by 2 (because any radius is exactly half of its diameter). 8.1 The earth is an approximate sphere. The haversine formula works by finding the great-circle distance between points of latitude and longitude on a sphere, which can be used to approximate distance on the Earth (since it is mostly spherical). This is the case for the Earth-Moon system, in which the barycenter is located on average 4,671 km (2,902 mi) from Earth's center, 75% of Earth's radius of 6,378 km (3,963 mi). Unclear because no context is provided. The primary reason Earth is not a sphere is because its rotation results in a centrifugal force that opposes gravity. C)The sailboat appears smaller as it moves farther away. There are several reasonable ways to approximate Earth's shape as a sphere. Think about it: if the earth was flat, it wouldn’t make a difference if you stood up quickly after the sunset — the sun would still be gone below the flat edge of the earth. A sphere being a gross approximation of the spheroid, which itself is an approximation … The volume of a sphere is 4/3 x π x (diameter / 2) 3, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4/3 x π x radius 3.Visual on the figure below: Since in most practical situations you know the diameter (via measurement or from a plan/schematic), the first formula is usually most useful, but it's easy to do it both ways. Closer approximations range from modeling the shape of the entire Earth as … Also assume you’ve repeated Poseidonius’ measurements. A geoid is the equipotential surface of the Earth's gravity field; put simply, it has the shape of a lumpy, slightly squashed ball. Measurements of a lake’s width were taken at 15-foot intervals, as shown: x= 0 15 30 45 60 75 90 105 … The Flat Earth’s Society Earth map Credit: Wikimedia Commons. Approximate the earth as a uniform sphere. A)The change in density of the atmosphere is causing refraction of light rays. Edit Added Sun, 22 May '16 . 31978. and in polar latitude it is only 10 km. Approximation is also used to analyze the motion of several planets orbiting a star. It is formed by the intersection of a plane and the sphere through the center point of the sphere. The earth is an approximate sphere. Several models with greater accuracy have been developed so that coordinate systems can serve the precise needs of … Physics. In tropical latitude its average height is 16 km. Rapper B.o.B wants to launch a satellite into space to find out, once and for all, whether the Earth is flat or round. Our question says that the approximate radius of the earth is 6.37 temps tend to the six meters and assuming that the earth is a spirit, wants us to find a the circumference and kilometers be its surface area and kilometers squared and see its volume in kilometers. ssuming that Earth's magnetic field is due to a bar magnet at the centre of the Earth, … 4/3 *22/7 *(6400)^3 =1098508190476.1904761904761904762. Local topography increases the variance, resulting in a surface of profound complexity. 54 Online Users. Note that the distances are given below meters, and angle in degrees, and calculators or spreadsheets may require you enter trigonometric angles in radians for trigonometric … Let m2 = mass of entire earth (of radius r1) Let m3 = mass of earth (of radius r2) Look up in your physics book. But for some purposes you can approximate Earth was a uniform sphere - it's going to depend on what accuracy you require. Calculus . Earth's rotation, internal density variations, and external tidal forces cause its shape to deviate systematically from a perfect sphere. The earth's shape is a spheroid. The mass of the Earth is found to be 6 sextillion, 587 quintillion short … Assume that drag is a function of the sphere diameter, d, the pipe dianeter, H, the fluid velocity, V, and the fluid . Earth turns on its axis approximately once every 24 hours. from the Earth’s … The … Top Users +116129 CPhill moderator +112580 Melody moderator +31722 Alan … Let F2 = weight in the hole at radius r2. How far would you have to drill into the earth, to reach a point where your weight is reduced by 8.0 %? The gaseous sphere surrounding Earth is called the atmosphere. $\endgroup$ – sammy … But since the world is round, standing up lets you see further over the earth’s curve. One reference surface is called the Geoid, the other reference surface is the ellipsoid. Also no effort is made to answer the question. (d) cannot be zero at … Advertisement Remove all ads. Add a Comment Solutions 0. The French, using their own local measurements, believed the earth to be squished at the … Sasini Feb 1, 2015. Its volume can be calculated if you know its radius. $\begingroup$ We simply know that the Earth would have the same volume (incompressibility is assumed) and would be a sphere if it were not rotating, thus a polar radius of 6371 km. For each … So since we're giving it given it meters, let's go ahead and convert that the kilometers first and then we can calculate everything else. Great circle distance isn’t a new concept; in fact, many of you have already seen it in action. The average height of this is usually given as 11 km., but this varies over the earth. radius of the earth is 6400. and also the formula is 4/3 pi r^3 to find the volume of the sphere. As the centuries passed, scientists and explorers began to realize that the earth was not a perfect sphere. In 28 , it is proven that, in a similar problem setting (the model of 28 considers that a link is hit by a disaster exactly if at least one of its endpoints is inside the disaster region. A great circle (also orthodrome) of a sphere is the largest circle that can be drawn on any given sphere. The radius of the Earth is … In fact, its shape is so close to a sphere that it is often called a spheroid rather than an ellipsoid. The earth is an approximate sphere. $\endgroup$ – StephenG Oct 19 '17 at 11:10. The Earth's magnetic field at the Equator is approximately 0.4 G. Estimate the Earth's magnetic dipole moment. Its volume is then: (4/3) x 3.14 x 6400000 3 m 3 This comes to 1,097,509,500,000,000,000,000 cubic meters. For many purposes, we can ignore the variation from a sphere; but, if accuracy matters, the Earth is best described as a geoid. There is one further zone of heating, above the mesosphere and more than 90 km. The Earth'S Magnetic Field at the Equator is Approximately 0.4 G. Estimate the Earth'S Magnetic Dipole Moment. 6371 km is not the mean radius of the Earth, it's as I wrote the radius of “a spherical Earth of equal volume”. Treebeard . Although the earth's shape is technically an ellipsoid, its major and minor axes do not vary greatly. Here are seven other ways to prove our planet is spherical. The earth is approximately a sphere (actually it is sphere slightly flattened at the poles). Post New Answer . Volume of a sphere formula. If some astronomical catastrophe suddenly brought Earth to a screeching halt (a physical impossibility as far as we know), with . A spheroid is simply an ellipsoid that approximates a sphere. Given : Radius of the Earth = 6400 km. Determining the precise shape of the geoid is a major concern of the science of geodesy, the study of Earth’s size, shape, and gravitational and magnetic fields. If the interior contained matter which is not of the same density everywhere, then on the surface of the earth, the acceleration due to gravity (a) will be directed towards the centre but not the same everywhere. The Earth's surface, and two reference surfaces used to approximate it: the Geoid, and a reference ellipsoid.The deviation between the Geoid and a reference ellipsoid is called … 2 $\begingroup$-1. 2.The diagrams below represent photographs of a large sailboat … Ptolemy argued that the Earth was a sphere in the center of the universe, from the simple observation that half the stars were above the horizon and half were below the horizon at any time (stars on rotating stellar sphere), and the assumption that the stars were all at some modest distance from the center of the universe. (b) will have the same value everywhere but not directed towards the centre. Each preserves a different feature of the true Earth in order to compute the radius of the spherical model.
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