Question

Диаметр колеса тепловоза равен 120 см. За 2 минуты колесо сделало 500 оборотов. С какой скоростью идёт тепловоз? Ответ укажите вм/мин.

Answer 1

Ответ:

942 м/мин

Объяснение:

Длина окружности

C = Π*D = 3,14*120 = 376,8 см = 3,768 м.

За 2 минуты колесо проехало

L = 500*C = 500*3,768 = 1884 м.

Скорость тепловоза

V = L/2 = 1884/2 = 942 м/мин.

Answer 2

Calculation of the Speed of the Locomotive

To calculate the speed of the locomotive, we need to use the formula:

Speed = Distance / Time

In this case, the distance traveled by the locomotive is equal to the circumference of the wheel, which can be calculated using the formula:

Circumference = 2 * π * Radius

Given that the diameter of the wheel is 120 cm, the radius can be calculated as half of the diameter:

Radius = Diameter / 2 = 120 cm / 2 = 60 cm

Now, we can calculate the circumference:

Circumference = 2 * π * 60 cm

Using the value of π as approximately 3.14, we can calculate the circumference:

Circumference = 2 * 3.14 * 60 cm

Circumference ≈ 376.8 cm

Next, we need to convert the time from minutes to seconds, as the speed is usually measured in meters per second. Since there are 60 seconds in a minute, we can convert the time as follows:

Time = 2 minutes * 60 seconds/minute = 120 seconds

Now, we can calculate the speed:

Speed = Circumference / Time

Speed = 376.8 cm / 120 seconds

To convert the speed from centimeters per second to meters per minute, we need to multiply by a conversion factor of 60:

Speed = (376.8 cm / 120 seconds) * (1 meter / 100 cm) * (60 seconds / 1 minute)

Simplifying the units, we get:

Speed = 376.8 * 60 / 120 meters/minute

Calculating the value, we find:

Speed ≈ 188.4 meters/minute

Therefore, the speed of the locomotive is approximately 188.4 meters per minute.