
Диаметр колес грузовика в 2 раза больше диаметра колес легкового автомобиля. какой автомобиль
движется быстрее, если колеса легкового автомобиля совершают в 4 раза больше оборотов в единицу времени, чем колеса грузовика

Ответы на вопрос

Потому ,что 4/2=2 легковая машина в 2 раза быстрее



Comparison of Truck and Car Wheels
To determine which vehicle moves faster, we need to consider the diameter of the wheels and the number of revolutions they make in a given unit of time.
Given that the diameter of the truck wheels is twice the diameter of the car wheels, we can assume that the circumference of the truck wheels is also twice that of the car wheels.
Let's assume that the car wheels make four times as many revolutions as the truck wheels in a given unit of time.
Calculation
To compare the speeds of the two vehicles, we can use the formula:
Speed = Circumference × Number of Revolutions per Unit of Time
Since the circumference of the truck wheels is twice that of the car wheels, and the car wheels make four times as many revolutions, we can calculate the relative speeds as follows:
For the truck: - Circumference = 2 × π × (truck wheel diameter/2) - Number of Revolutions per Unit of Time = 1
For the car: - Circumference = π × (car wheel diameter/2) - Number of Revolutions per Unit of Time = 4
Relative Speeds
Let's calculate the relative speeds of the two vehicles:
For the truck: - Circumference = 2 × π × (truck wheel diameter/2) = π × truck wheel diameter - Number of Revolutions per Unit of Time = 1 - Speed = π × truck wheel diameter × 1 = π × truck wheel diameter
For the car: - Circumference = π × (car wheel diameter/2) - Number of Revolutions per Unit of Time = 4 - Speed = π × (car wheel diameter/2) × 4 = 2π × car wheel diameter
Conclusion
Comparing the relative speeds of the two vehicles, we can see that the car moves faster. The car's speed is 2π × car wheel diameter, while the truck's speed is only π × truck wheel diameter.
Please note that this calculation assumes that the car and truck have the same gear ratio and other factors that could affect their speeds are not considered.


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