Question

напишите дано найти решение С какой скоростью должен лететь горизонтально самолет на широте (48°), чтобы летчик видел солнце все время на юге? Радиус Земли 6300 км. Ответ выразите в км/час с точностью до целых.

Answer 1

Дано

широта 48

R=6300 км

----------------------

Найти V самолета

 

РЕШЕНИЕ

чтобы летчик видел солнце все время на юге- надо соблюдать такие условия

- лететь с ВОСТОКА на ЗАПАД  вдоль по широте 48

-скорость самолета должна быть равна линейной скорости V вращения Земли на этой широте

V=2pi*Rш / T (1)

где

Т=24 час -период вращения Земли

Rш=R*cos48   радиус Земли относительно оси вращения на широте 48

подставим данные в (1)

V=2pi*Rш / T =2pi* R*cos48   / T= 2pi*6300 км*cos48 / 24 час=1103.621 =  1104 км/ч

Ответ 1104 км/ч

Answer 2

Finding the Solution: Speed of the Plane to Keep the Sun in View

To find the speed at which the plane should fly horizontally at a latitude of 48° to keep the sun in view at all times, we can use the following steps:

1. Determine the circumference of the Earth at the given latitude. 2. Calculate the time it takes for the sun to complete a full circle around the Earth at that latitude. 3. Divide the circumference of the Earth by the time calculated in step 2 to find the speed of the plane.

Let's go through these steps in detail.

Step 1: Determine the Circumference of the Earth at Latitude 48°

The radius of the Earth is given as 6300 km To find the circumference at a specific latitude, we can use the formula:

Circumference = 2 * π * Radius * cos(Latitude)

Substituting the values, we have:

Circumference = 2 * π * 6300 km * cos(48°)

Calculating this value, we find:

Circumference ≈ 2 * 3.14159 * 6300 km * 0.667 ≈ 79,020 km

Step 2: Calculate the Time for the Sun to Complete a Full Circle

To calculate the time it takes for the sun to complete a full circle around the Earth at a specific latitude, we can use the formula:

Time = 24 hours / (360° / Longitude Change per Hour)

At the given latitude of 48°, the longitude change per hour can be calculated as:

Longitude Change per Hour = 360° / 24 hours * cos(Latitude)

Substituting the values, we have:

Longitude Change per Hour = 360° / 24 hours * cos(48°)

Calculating this value, we find:

Longitude Change per Hour ≈ 15° * 0.667 ≈ 10°

Now, we can calculate the time it takes for the sun to complete a full circle:

Time = 24 hours / (10° / hour) = 2.4 hours

Step 3: Calculate the Speed of the Plane

Finally, to find the speed at which the plane should fly horizontally to keep the sun in view, we divide the circumference of the Earth by the time calculated in step 2:

Speed = Circumference / Time

Substituting the values, we have:

Speed = 79,020 km / 2.4 hours ≈ 32,925 km/h

Therefore, the plane should fly horizontally at a speed of approximately 32,925 km/h at a latitude of 48° to keep the sun in view at all times.

Please note that the calculations provided are based on the given information and assumptions.