How Does Earth's Rotation Affect the Forces Acting on You at the Equator?

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In summary, when standing on the earth, the effective net force on an individual in the rotating reference frame of the Earth is 0. However, in an inertial frame with the origin at the center of the Earth, the net force would be gravity minus normal, which should equal Rw^2, where R is the radius of the Earth and w is the angular velocity of the Earth's rotation. This is assuming the individual is at the equator.
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ehrenfest
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[SOLVED] standing here on the earth

Homework Statement


When I am standing here on the earth, the effective net force on me in the rotating reference frame of the Earth must be 0. However, consider the forces on me in an inertial frame with origin at the center of the earth. Then the net force on me would be gravity minus normal, correct? And that should equal Rw^2 where R is the radius of the Earth and w is the angular velocity of the Earth's rotation. Assume I am at the equator. Is all that correct?

Homework Equations


The Attempt at a Solution

 
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yes it is
 

1. What is the earth's current position in the solar system?

The earth is currently the third planet from the sun and is located approximately 93 million miles away from it. It orbits the sun once every 365.24 days, giving us our annual calendar year.

2. How does standing on the earth affect our weight?

The earth's gravitational force pulls us towards its center, giving us the sensation of weight. However, the strength of this force varies depending on an individual's location on earth. For example, someone standing at the equator will experience slightly less gravitational force compared to someone standing at the poles.

3. What is the earth's rotation and how does it affect us?

The earth rotates on its axis, which is an imaginary line running through its center from the North Pole to the South Pole. This rotation gives us the cycle of day and night. The earth's rotation also affects the direction of winds, ocean currents, and other weather patterns.

4. How does the earth's tilt affect our seasons?

The earth's axis is tilted at an angle of 23.5 degrees. This tilt, combined with its orbit around the sun, is what causes the change in seasons. When the northern hemisphere is tilted towards the sun, it experiences summer, while the southern hemisphere experiences winter. This tilt changes throughout the year, giving us the different seasons.

5. How does the earth's magnetic field protect us from harmful radiation?

The earth has a magnetic field that extends from its core into space. This field helps protect our planet from harmful solar radiation and cosmic rays. The magnetic field is created by the movement of molten iron in the earth's outer core, and it also contributes to the formation of the auroras in the polar regions.

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