Why's radial acceleration zero at north pole

In summary, the radial acceleration at the equator of the earth is 9.9337 m/s^2, while at the north pole it is zero due to the centripetal radius approaching zero. This means that there is no acceleration at the poles because the force of centripetal acceleration becomes zero.
  • #1
SS2006
80
0
a)Compute hte radial accleration of a point at the equator of the earth. b)repeat for the north pole of hte earth. Take the radius of the eartk to be 6370 km.

so for a) i got 9.9337 m/s square which is right
but for b) the answer is just zero
why?
 
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  • #2
You are at the "center" of rotation. You really are not moving anywhere are you? Just spinning...
 
  • #3
Whoa!

What Force could cause an acceleration as quick as 9.934 m/s^2 ?

I don't recall having to be tied down in Equador, to stay on the ground. (;->
 
  • #4
lightgrav said:
Whoa!

What Force could cause an acceleration as quick as 9.934 m/s^2 ?

I don't recall having to be tied down in Equador, to stay on the ground. (;->

Yeah, but have you actually ever BEEN to the equator? ;)
 
  • #5
SS2006 said:
a)Compute hte radial accleration of a point at the equator of the earth. b)repeat for the north pole of hte earth. Take the radius of the eartk to be 6370 km.

so for a) i got 9.9337 m/s square which is right
but for b) the answer is just zero
why?

Your part "a" isn't correct it says you need to find the acceleration not velocity, the velocity you find also incorrect.
 
  • #6
hey.there's zero acceleration at poles because the R in the mrw^2 is approaching zero.or rather zero in this case.as it reaches the pole, the centripetal radius becomes zero, Fc=0 therefore, no acceleration.hope this helps.heh I'm new here.
 

1. Why is radial acceleration zero at the north pole?

Radial acceleration is the component of acceleration that points towards or away from the center of an object's circular motion. At the north pole, the Earth's rotation axis is perpendicular to the surface, meaning there is no component of acceleration in the radial direction. Therefore, radial acceleration is zero at the north pole.

2. Does this mean there is no acceleration at the north pole?

No, there is still acceleration at the north pole. The Earth's rotation still causes tangential acceleration, which is the component of acceleration that points tangent to the circle of motion. However, the radial component of acceleration is zero at this location.

3. How does this relate to the Coriolis effect?

The Coriolis effect is a phenomenon caused by the Earth's rotation that affects the direction of moving objects. At the north pole, the lack of radial acceleration means that objects will not be deflected in any direction due to the Coriolis effect. This is why the Coriolis effect is strongest at the equator, where radial acceleration is at its maximum.

4. Can this phenomenon be observed on other planets?

Yes, this phenomenon can be observed on other planets as well. Any object that rotates with a fixed axis will have zero radial acceleration at its poles. For example, the gas giant Jupiter also has zero radial acceleration at its poles.

5. How does this concept apply to other forms of circular motion?

This concept applies to any type of circular motion, not just the rotation of planets. For example, on a spinning carousel ride, the radial acceleration will be zero at the center of the ride, where the axis of rotation is perpendicular to the surface. This concept is a fundamental principle in understanding circular motion in physics.

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