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? Use REarth = 6,384 km for the radius of Earth.
To determine how long it would take for the Earth to complete a full turn, we need to calculate the time it would take for a person at 32.6° northern geographical latitude to move across the room.
First, let's calculate the circumference of the Earth at 32.6° northern geographical latitude. The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.
Given that the radius of the Earth (REarth) is 6,384 km, we can calculate the circumference at 32.6° latitude by using the formula:
C = 2π * REarth * cos(32.6°)
To convert the given latitude from degrees to radians, we need to multiply it by (π/180):
C = 2π * REarth * cos(32.6° * (π/180))
Next, we need to calculate the time it would take for a person to float across the room. However, we don't have this information in the question, so we cannot provide an exact answer. The time it takes for a person to float across the room depends on various factors such as the size of the room, the speed of floating, and any external forces acting on the person.
If you have the specific distance or time the person takes to float across the room, you can divide the circumference by the distance or time to calculate the number of full turns the Earth would complete. For example, if the person takes 10 seconds to float across the room, you would divide the circumference by 10 to determine the number of full turns.
Without the specific information, we cannot provide an exact answer to how long it would take for the Earth to complete a full turn.