Compare weights at equator and poles?

In summary, the question asks about the weight of a person at the poles and the equator, taking into account the effect of gravity. The references mention that gravity is slightly stronger at the poles due to the closer distance to the center of the Earth. However, to accurately calculate the weight, one must also consider the "squashed" shape of the Earth and the centrifugal force effect. This would require a more complex calculation using the formula F= -(Gmm)/r^2 with different values for distance.
  • #1
cbere2013
1
0
Hello,

I need some help understanding this question.
If we take a mass of a person as 100kg, what would he weigh at the poles and the equator, in Newtons? How do I do this please?

Thanks and much appreciate some help.
 
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  • #3
The first thing you should think about is exactly what you mean by "weight"! Do you mean "what a spring scale would show if the person were to stand on it"? In that case you could, treating the Earth as a sphere, use "mg" but allow for the "centrifugal force" effect.

Taking the "squashed" shape of the Earth into effect, as mathman suggests, would be more accurate but much harder, requiring you to use "F= -(Gmm)/r^2" with different values for the distance from the center of the Earth to the pole and from the center of the Earth to the equator. And, of course, you should still allow for the apparent reduction in force due to the rotation of the earth.
 

1. How does the weight of an object differ at the equator and poles?

The weight of an object at the equator and poles is affected by the Earth's rotation and shape. At the equator, the centrifugal force from the Earth's rotation causes objects to weigh slightly less than at the poles. This is due to the equator being further from the Earth's center of mass, resulting in a weaker gravitational pull.

2. Is there a significant difference in weight between the equator and poles?

The difference in weight between the equator and poles is very small, typically less than 0.5%. This is because the Earth's shape and rotation are relatively constant, resulting in a consistent difference in gravitational pull between the equator and poles.

3. How does the weight difference at the equator and poles affect everyday objects?

For everyday objects, the difference in weight at the equator and poles is negligible. However, for large objects such as airplanes, this difference can be significant and must be taken into account for accurate navigation and flight planning.

4. Can the weight difference at the equator and poles be measured?

Yes, the weight difference at the equator and poles can be measured using specialized equipment such as a gravimeter. This device measures the gravitational pull at different locations on the Earth's surface, allowing for the calculation of weight differences.

5. Are there any other factors that affect weight at the equator and poles?

Aside from the Earth's rotation and shape, other factors such as elevation and local geology can also have a small impact on weight at the equator and poles. However, these factors are typically negligible compared to the effect of the Earth's rotation and shape.

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