Question

Диаметр колеса тепловоза равен 105 см. За 1.5 мин колесо сделало 500 оборотов. С какой скоростью идёт тепловоз!

Answer 1

1. Найдем, сколько сантиметров проехал тепловоз за 1,5 минуты:

105 см * 500 = 52 500 см или 525 метров

2. Найдем скорость тепловоза в м/мин:

525 м : 1,5 минуты = 350 м/мин

3. Переведём в км/час:

350 м/мин = 350 * 60 м/ час = 21000 м/час = 21 км/час

Ответ: скорость тепловоза составляет 21 км/час.

Answer 2

Calculating the Speed of the Locomotive

To calculate the speed of the locomotive, we can use the formula:

Speed = (Distance traveled by the wheel) / (Time taken)

Given: - Diameter of the wheel = 105 cm - Number of revolutions made by the wheel = 500 - Time taken = 1.5 minutes

First, we need to find the distance traveled by the wheel in one revolution. Then, we can use this information to calculate the speed of the locomotive.

Calculating Distance Traveled by the Wheel in One Revolution

The distance traveled by the wheel in one revolution can be calculated using the formula:

Distance = π * Diameter

Substituting the given diameter of the wheel (105 cm) into the formula, we get:

Distance = π * 105 cm

Calculating Speed of the Locomotive

Now that we have the distance traveled by the wheel in one revolution, we can calculate the speed of the locomotive using the formula mentioned earlier:

Speed = (Distance traveled by the wheel in one revolution * Number of revolutions) / (Time taken)

Substitute the values we have: - Distance traveled by the wheel in one revolution = π * 105 cm - Number of revolutions = 500 - Time taken = 1.5 minutes

We can now calculate the speed of the locomotive using these values.

Final Calculation

Speed = (π * 105 cm * 500) / (1.5 minutes)

Calculating the value of π * 105:

π * 105 ≈ 329.867 cm

Substituting this value into the speed formula:

Speed ≈ (329.867 cm * 500) / (1.5 minutes)

Speed ≈ 109955.67 cm / 1.5 minutes

Converting the speed to a more common unit, such as kilometers per hour, would yield a more practical value for the locomotive's speed.