# Physics

posted by Pat

How long would it take for the Earth to complete a full turn if a person at 49.6° northern geographical latitude floats apparently weightlessly across the room? Use REarth = 6,384 km for the radius of Earth.

1. bobpursley

The radius of rotation at that latitude is

r= Re*cosLatitude

If mw^2/r= mg and w=2PIr where r is above formula.

The problem with this analysis, is that centrepetal force is not directed to the center of the Earth at that latitude, and mg is. So they never can be equal and opposite, and the person "floats" about the room. I assume your teacher forgot about that, or wants you to ignore it. centripetal force is directed to the center of rotation on the Earth's axis, not the center of the Earth.

## Similar Questions

1. ### physics

How fast would the Earth have to spin to have the person at 24.1° northern geographical latitude float apparently weightlessly across the room?
2. ### Physics

How long would it take for the Earth to complete a full turn if a person at 49.2° northern geographical latitude floats apparently weightlessly across the room?
3. ### physics

How long would it take for the Earth to complete a full turn if a person at 24.1° northern geographical latitude floats apparently weightlessly across the room?
4. ### physics

How long would it take for the Earth to complete a full turn if a person at 27° northern geographical latitude floats apparently weightlessly across the room?
5. ### Physics

Calculate the acceleration due to the rotation of the Earth of a person in a location 26° northern geographical latitude. Use REarth = 3,686 km for the value of the radius of the Earth.
6. ### physics

How long would it take for the Earth to complete a full turn if a person at 56.4° northern geographical latitude floats apparently weightlessly across the room?
7. ### math

How long would it take for the Earth to complete a full turn if a person at 43.8° northern geographical latitude floats apparently weightlessly across the room?
8. ### physics

How long would it take for the Earth to complete a full turn if a person at 49.2° northern geographical latitude floats apparently weightlessly across the room?
9. ### Physics

How long would it take for the Earth to complete a full turn if a person at 32.6° northern geographical latitude floats apparently weightlessly across the room?
10. ### physics

Calculate the acceleration due to the rotation of the Earth of a person in a location 48° northern geographical latitude. Use REarth = 3,678 km for the value of the radius of the Earth.

More Similar Questions