How Is the Angular Momentum of Earth Calculated?

In summary, the angular momentum of Earth is a vector quantity that measures the rotation of our planet around its own axis. It is calculated by multiplying the moment of inertia by the angular velocity. The angular momentum of Earth can be affected by changes in mass, velocity, distance, and external forces. It is important in maintaining the stability of Earth's rotation and has an impact on climate, ocean currents, and land distribution. While it can change over time, these changes occur gradually and are not noticeable on a human timescale.
  • #1
sammythesp3rmy
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Homework Statement


Determine the angular momentum of the Earth about its rotation axis (assume the Earth is a uniform sphere).


Homework Equations


L = Iω
I = (2/5)Mr^2
ω = 2[itex]\pi[/itex]/T


The Attempt at a Solution


I = (2/5)(6.0 X 10^24 kg)(6.4 X 10^6m)^2
ω = 1.992 X 10^-7 rad/sec

L = (2/5)(6.0 X 10^24 kg)(6.4 X 10^6m)^2 * (1.992 X 10^-7 rad/sec)
What I get from this is 1.958 X 10^31 and the answer is supposed to be 7.1 X 10^33. where did I go wrong? Thank you
 
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  • #2
How long does it take the Earth to rotate one revolution on its axis?
 

Related to How Is the Angular Momentum of Earth Calculated?

1. What is angular momentum of Earth?

The angular momentum of Earth is a measure of the rotation of our planet around its own axis. It is a vector quantity that takes into account the mass, velocity, and distance from the axis of rotation of Earth.

2. How is the angular momentum of Earth calculated?

The angular momentum of Earth can be calculated by multiplying the moment of inertia (a measure of an object's resistance to rotational motion) by the angular velocity (the rate at which Earth rotates around its axis).

3. What factors affect the angular momentum of Earth?

The angular momentum of Earth can be affected by changes in its mass, velocity, or distance from its axis of rotation. Other external factors such as gravitational forces from other celestial bodies can also have an impact.

4. Why is the angular momentum of Earth important?

The angular momentum of Earth is important because it plays a crucial role in maintaining the stability of our planet's rotation. It also influences the Earth's climate, ocean currents, and the distribution of landmasses on its surface.

5. Can the angular momentum of Earth change over time?

Yes, the angular momentum of Earth can change over time due to various factors such as changes in the Earth's mass distribution, external gravitational forces, and the Earth's own movements. However, these changes occur very gradually and are not noticeable on a human timescale.

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