Question

Частота вращения винта самолета 1800 об/мин. Какой путь пролетел самолет, двигаясь прямолинейно и равномерно, за время, в течение которого винт сделал 5*10^8 оборотов при скорости полета 270 км/ч? Ответ выразите в километрах. СРОЧНО!!! Пож-ста!!!

Answer 1

Считаем время, необходимое для такого количества оборотов, сразу в часах:
$t=\frac{5*10^8}{1800*60}=\frac{125000}{27}$

За это время самолёт пролетел: $\frac{125000}{27}*270=1250000$ км.

Answer 2

Calculation of the Distance Traveled by the Airplane

To calculate the distance traveled by the airplane, we need to determine the distance covered by the propeller during the given number of revolutions.

Given: - Propeller speed: 1800 revolutions per minute (RPM) - Number of propeller revolutions: 5 * 10^8 revolutions - Flight speed: 270 km/h

To find the distance traveled by the airplane, we can use the formula:

Distance = (Number of revolutions) * (Circumference of the propeller)

The circumference of the propeller can be calculated using the formula:

Circumference = 2 * π * Radius

To find the radius, we need to know the diameter of the propeller. Unfortunately, the diameter is not provided in the question. However, we can make an assumption based on typical propeller sizes.

According to general aviation standards, the diameter of a propeller for a small airplane can range from 1.5 to 3 meters. Let's assume a diameter of 2 meters for our calculation.

Using the diameter, we can calculate the radius:

Radius = Diameter / 2 = 2 / 2 = 1 meter

Now we can calculate the circumference:

Circumference = 2 * π * Radius = 2 * 3.14 * 1 = 6.28 meters

Finally, we can calculate the distance traveled by the airplane:

Distance = (Number of revolutions) * (Circumference) = 5 * 10^8 * 6.28 = 3.14 * 10^9 meters

To convert the distance from meters to kilometers, we divide by 1000:

Distance = (3.14 * 10^9) / 1000 = 3.14 * 10^6 kilometers

Therefore, the airplane traveled approximately 3.14 million kilometers during the time it took for the propeller to make 5 * 10^8 revolutions at a flight speed of 270 km/h.

Please note that this calculation assumes a constant flight speed and a straight-line path. In reality, airplanes may change their speed and direction during flight, so this is a simplified calculation.