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the earth is an approximate sphere

Let m2 = mass of entire earth (of radius r1) Let m3 = mass of earth (of radius r2) Look up in your physics book. Physics. 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. C)The sailboat appears smaller as it moves farther away. Solution Show Solution. Sasini Feb 1, 2015. Also assume you’ve repeated Poseidonius’ measurements. A hollow sphere has a uniform volume charge density of 4.61 nC/m3. Each preserves a different feature of the true Earth in order to compute the radius of the spherical model. These are illustrated in the figure below. The inner radius is a = 14.6 cm and the outer radius is b = 43.8 cm. Let F1 = weight on the surface at radius r1. … Volume of a sphere formula. The average height of this is usually given as 11 km., but this varies over the earth. In tropical latitude its average height is 16 km. 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. Hence, we create models to approximate characteristics of Earth's surface, generally relying … Assume that drag is a function of the sphere diameter, d, the pipe dianeter, H, the fluid velocity, V, and the fluid . Many astronomical and navigational computations use it as a surface representing the Earth. Approximate the Earth as a uniform sphere. 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, … D)The sailboat is moving around the curved surface of Earth. radius of the earth is 6400. and also the formula is 4/3 pi r^3 to find the volume of the sphere. (d) cannot be zero at … $\endgroup$ – StephenG Oct 19 '17 at 11:10. 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). … We can "explain" a confusion, but you have not "explained" why you are unable to answer the question yourself. The earth is an approximate sphere. 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. For many purposes, we can ignore the variation from a sphere; but, if accuracy matters, the Earth is best described as a geoid. Our descriptions of Earth's surface must be simpler than reality in order to be tractable. 31978. Its volume can be calculated if you know its radius. In fact, its shape is so close to a sphere that it is often called a spheroid rather than an ellipsoid. Let m1 = mass of person. In fact the errors will be given by … The Earth'S Magnetic Field at the Equator is Approximately 0.4 G. Estimate the Earth'S Magnetic Dipole Moment. 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’. 2 $\begingroup$-1. Calculus . from the Earth’s … 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. Although the earth's shape is technically an ellipsoid, its major and minor axes do not vary greatly. Local topography increases the variance, resulting in a surface of profound complexity. (b) will have the same value everywhere but not directed towards the centre. 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 … Closer approximations range from modeling the shape of the entire Earth as … $\endgroup$ – Gaialogist Apr 29 '14 at 17:07 There is one further zone of heating, above the mesosphere and more than 90 km. Approximate the earth as a uniform sphere. In order to find the volume of the Earth you need more information than just the volume of a sphere formula. The earth's shape is an ellipsoid. A sphere being a gross approximation of the spheroid, which itself is an approximation … 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 geoid is the equipotential surface of the Earth's gravity field; put simply, it has the shape of a lumpy, slightly squashed ball. The earth is approximately a sphere (actually it is sphere slightly flattened at the poles). The earth's shape is a spheroid. 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. The great … so the volume of the earth is: 4/3 pi r^3. Consequently, two main reference surfaces have been established to approximate the shape of the Earth. It is formed by the intersection of a plane and the sphere through the center point of the sphere. $\begingroup$ 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. Measurements of a lake’s width were taken at 15-foot intervals, as shown: x= 0 15 30 45 60 75 90 105 … Top Users +116129 CPhill moderator +112580 Melody moderator +31722 Alan … What is your estimate of the radius of the Earth’s sphere given the following distance/angle pairs. 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 sphere is an approximation of the figure of the Earth that is satisfactory for many purposes. The primary reason Earth is not a sphere is because its rotation results in a centrifugal force that opposes gravity. ssuming that Earth's magnetic field is due to a bar magnet at the centre of the Earth, … and in polar latitude it is only 10 km. Unclear because no context is provided. The Earth's magnetic field at the Equator is approximately 0.4 G. Estimate the Earth's magnetic dipole moment. Somewhere it should derive the fact that outer shells exert … The mass of the Earth is found to be 6 sextillion, 587 quintillion short … (c) will be same everywhere in magnitude directed towards the centre. Approximate the Earth as a uniform sphere. ExamplesEarthThe radius of the earth is given by 6400 km thus its surface will be 500 million square kilometers. 6371 km is not the mean radius of the Earth, it's as I wrote the radius of “a spherical Earth of equal volume”. 1.Which sphere of earth covers approximately 70% of Earth's surface? 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. earth. A spheroid is simply an ellipsoid that approximates a sphere. 4/3 *22/7 *(6400)^3 =1098508190476.1904761904761904762. As the centuries passed, scientists and explorers began to realize that the earth was not a perfect sphere. physics- please help me! Treebeard . 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. If some astronomical catastrophe suddenly brought Earth to a screeching halt (a physical impossibility as far as we know), with . But since the world is round, standing up lets you see further over the earth’s curve. Also no effort is made to answer the question. that is the answer. Now, to find the radius, divide the diameter by 2 (because any radius is exactly half of its diameter). One reference surface is called the Geoid, the other reference surface is the ellipsoid. But for some purposes you can approximate Earth was a uniform sphere - it's going to depend on what accuracy you require. Advertisement Remove all ads. The radius of the Earth is … If the Earth was substantially displaced from the center, this division into visible and … What is . The Flat Earth’s Society Earth map Credit: Wikimedia Commons. Earth's rotation, internal density variations, and external tidal forces cause its shape to deviate systematically from a perfect sphere. This force is zero at the poles and greatest at the equator, resulting in a slightly squashed appearance for the body. More recent measurements have measured the geoid to unprecedented accuracy, revealing mass concentrations beneath Earth's surface. Earth turns on its axis approximately once every 24 hours. Comment . Great circle distance isn’t a new concept; in fact, many of you have already seen it in action. The radius of Earth is 6.38 X 10^6 m. Given : Radius of the Earth = 6400 km. Great circle distance. What is the magnitude of the electric field at 21.9 cm from the center of the sphere? The … They have a fairly interesting map of the Earth as well. This is extremely difficult due to the complex interactions of the planets' … A great circle (also orthodrome) of a sphere is the largest circle that can be drawn on any given sphere. There are several reasonable ways to approximate Earth's shape as a sphere. Post New Answer . Edit Added Sun, 22 May '16 . Approximation is also used to analyze the motion of several planets orbiting a star. How far would you have to drill into the earth, to reach a point where your weight is reduced by 8.0 %? B)The tide is causing an increase in the depth of the ocean. However on the spherical surface area, those will be somewhat shorter than had the Earth been flat. 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 … For each … The gaseous sphere surrounding Earth is called the atmosphere. Let F2 = weight in the hole at radius r2. 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. Here are seven other ways to prove our planet is spherical. The French, using their own local measurements, believed the earth to be squished at the … a.) A)The change in density of the atmosphere is causing refraction of light rays. (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. To calculate the actual motion of the Sun, only the motions of the four giant planets (Jupiter, Saturn, Uranus, Neptune) need to be considered. 2.The diagrams below represent photographs of a large sailboat … 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. This formula (4/3πr 3) requires the radius of the Earth. Ask yourself why a round earth makes this possible. Assume the Earth is approximately a sphere (not and elllipsoid). 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). 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. Several models with greater accuracy have been developed so that coordinate systems can serve the precise needs of … $\endgroup$ – sammy … 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 … Between the troposphere and the stratosphere is the tropopause which marks the approximate upper limit of mixing in the lower atmosphere. The earth is an approximate sphere. 54 Online Users. 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. 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 … 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). The diameter of the Earth at the equator is 7926.68 miles (or 12756.75 km). Cute. 8.1 The earth is an approximate sphere. People who have traveled by air or solely checked flight routes have probably noticed that flights don’t follow a … The atmosphere is one of four subsystems on Earth. 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. 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. 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. 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. - Physics. Add a Comment Solutions 0.

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