This inverse square relationship is depicted in the graphic at the right. As the distance is tripled, the value of g decreases by a factor of 9. This inverse square relationship means that as the distance is doubled, the value of g decreases by a factor of 4. In fact, the variation in g with distance follows an inverse square law where g is inversely proportional to the distance from earth's center. The table below shows the value of g at various locations from Earth's center.Īs is evident from both the equation and the table above, the value of g varies inversely with the distance from the center of the earth. As shown below, at twice the distance from the center of the earth, the value of g becomes 2.45 m/s 2. For instance, if an object were moved to a location that is two earth-radii from the center of the earth - that is, two times 6.38x10 6 m - then a significantly different value of g will be found. And of course, the value of g will change as an object is moved further from Earth's center. If the value 6.38x10 6 m (a typical earth radius value) is used for the distance from Earth's center, then g will be calculated to be 9.8 m/s 2. 5.98x10 24 kg) and the distance ( d) that an object is from the center of the earth. The above equation demonstrates that the acceleration of gravity is dependent upon the mass of the earth (approx. This leaves us with an equation for the acceleration of gravity. Thus, m can be canceled from the equation. Now observe that the mass of the object - m - is present on both sides of the equal sign. First, both expressions for the force of gravity are set equal to each other. To understand why the value of g is so location dependent, we will use the two equations above to derive an equation for the value of g. As one proceeds further from earth's surface - say into a location of orbit about the earth - the value of g changes still. This would result in larger g values at the poles. They also result from the fact that the earth is not truly spherical the earth's surface is further from its center at the equator than it is at the poles. These variations result from the varying density of the geologic structures below each specific surface location. There are slight variations in the value of g about earth's surface. When discussing the acceleration of gravity, it was mentioned that the value of g is dependent upon location. That is to say, the acceleration of gravity on the surface of the earth at sea level is 9.8 m/s 2. In the first equation above, g is referred to as the acceleration of gravity. Where d represents the distance from the center of the object to the center of the earth. Now in this unit, a second equation has been introduced for calculating the force of gravity with which an object is attracted to the earth. Thales has been training RAF aircrew since the 1930s providing over 300 complex simulators for 60 different platforms.In Unit 2 of The Physics Classroom, an equation was given for determining the force of gravity ( F grav) with which an object of mass m was attracted to the earth F grav = m*g The 39-tonne centrifuge built by Thales in the UK has seen the company team up with world leading centrifuge specialists AMST from Austria to design and build the equipment. Up to 300 aircrew will receive training on the centrifuge each year. The RAF Centre of Aviation Medicine is using the facility to train aircrew to recognise the effects of G-force, develop awareness of it and learn the physical techniques needed to counter the effects on their bodies during combat missions. This will also ensure that the testing is done in a benign environment before being trialled in live flight. The device will also be used to trial and test new equipment to be used on fast jet aircraft and by the pilots. Pilots benefit from a cockpit which closely represents that of their normal aircraft enabling them to conduct a plethora of training scenarios from air-to-air combat to dealing with in-bound missile threats.
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