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Acceleration to g force formula
Acceleration to g force formula







acceleration to g force formula

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.

acceleration to g force formula

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.

acceleration to g force formula

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. 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









Acceleration to g force formula