Question

В Центральной Африке есть государство Габон со столицей -городом Либревиль, находящимся почти на экваторе Земли. Какой путь совершит этот город вследствие вращения Земли вокруг своей оси за сутки,если известно, что диаметр Земли приближенно равен 12,7 тыс. км? Число "п" при вычислениях округлите до десятых.

Answer 1

S=пи*D=3,1*12700=39370 км

Answer 2

Calculation of the Distance Traveled by Libreville Due to Earth's Rotation

To calculate the distance traveled by the city of Libreville, located in Gabon, due to the rotation of the Earth in a day, we need to consider the circumference of the Earth and the time it takes for one complete rotation.

The diameter of the Earth is approximately 12,700 kilometers Since the diameter is twice the radius, the radius of the Earth is approximately 6,350 kilometers.

The circumference of a circle is given by the formula: C = 2πr, where C is the circumference and r is the radius.

Substituting the value of the radius, we have: C = 2π(6,350) ≈ 39,900 kilometers.

This means that the Earth rotates approximately 39,900 kilometers in one day.

To find the distance traveled by Libreville, we need to determine the fraction of the Earth's circumference that corresponds to the city's location.

Since Libreville is located near the equator, it is approximately at the same distance from the Earth's axis of rotation as the equator itself. Therefore, the distance traveled by Libreville due to the Earth's rotation is approximately equal to the distance traveled by a point on the equator.

To calculate this distance, we need to find the fraction of the Earth's circumference that corresponds to the distance traveled by Libreville in one day.

The fraction can be calculated using the formula: Fraction = Distance Traveled by Libreville / Circumference of the Earth.

Substituting the values, we have: Fraction = Distance Traveled by Libreville / 39,900.

To find the distance traveled by Libreville, we multiply the fraction by the circumference of the Earth: Distance Traveled by Libreville = Fraction * 39,900.

Now, let's calculate the distance traveled by Libreville due to the rotation of the Earth.

Calculation:

Using the given information, we need to calculate the distance traveled by Libreville in one day due to the rotation of the Earth.

Given: - Diameter of the Earth: 12,700 kilometers

To calculate the distance traveled by Libreville, we need to find the fraction of the Earth's circumference that corresponds to the distance traveled by Libreville in one day.

Since Libreville is located near the equator, it is approximately at the same distance from the Earth's axis of rotation as the equator itself.

The fraction can be calculated using the formula: Fraction = Distance Traveled by Libreville / Circumference of the Earth.

Substituting the values, we have: Fraction = Distance Traveled by Libreville / 39,900.

To find the distance traveled by Libreville, we multiply the fraction by the circumference of the Earth: Distance Traveled by Libreville = Fraction * 39,900.

Let's calculate the distance traveled by Libreville:

Fraction = Distance Traveled by Libreville / 39,900

Distance Traveled by Libreville = Fraction * 39,900

Using the given information, we can calculate the fraction:

Fraction = 24 hours / 24 hours = 1

Therefore, the distance traveled by Libreville due to the rotation of the Earth in one day is:

Distance Traveled by Libreville = 1 * 39,900 = 39,900 kilometers.

So, the city of Libreville travels approximately 39,900 kilometers in one day due to the rotation of the Earth.

Please note that the calculation assumes a constant rotation speed of the Earth and does not take into account factors such as the Earth's elliptical orbit or variations in rotation speed.

I hope this answers your question! Let me know if there's anything else I can help with.