Question

Колесо диаметром 12 см делает на некотором расстоянии 24 оборота.Сколько оборотов сделает на том же расстоянии колесо диаметром 16см?Решите задачу,не используя численное значение П.

Answer 1

Периметр первого колеса=P1=πd1=3,14*12=37,7см.

Первое колесо проходит путь=P*n=904.8 см.( где n-кол-во оборотов первого колеса)

Второе колес проходит такой же путь, следовательно екол-во его оборотов будет находиться по формуле:

m=S/P2=904,8/πd2=904,8/50.27=18 оборотов( где m-кол-во оборотов 2ого колеса; d2-диаметр второго колеса)

Ответ: 18 оборотов
хмммм, не заметил, что π нельзя использовать...
можно так:

n/m=d2/d1

m=d1*n/d2=12*24/16=18 оборотов( обозначения, как в первом способе) удачи!

 

 

Answer 2

Problem Analysis

We are given that a wheel with a diameter of 12 cm makes 24 revolutions at a certain distance. We need to find out how many revolutions the wheel with a diameter of 16 cm will make at the same distance.

Solution

To solve this problem, we can use the concept of the circumference of a circle. The circumference of a circle is given by the formula:

C = π * d

where C is the circumference and d is the diameter of the circle.

Let's denote the number of revolutions made by the wheel with a diameter of 12 cm as n1 and the number of revolutions made by the wheel with a diameter of 16 cm as n2.

We can set up the following equation based on the relationship between the circumferences of the two wheels:

C1 * n1 = C2 * n2

where C1 is the circumference of the wheel with a diameter of 12 cm and C2 is the circumference of the wheel with a diameter of 16 cm.

Since we are not allowed to use the numerical value of π, we can express the circumferences in terms of the diameter:

π * d1 * n1 = π * d2 * n2

Simplifying the equation, we get:

d1 * n1 = d2 * n2

Substituting the given values, we have:

12 cm * 24 = 16 cm * n2

Solving for n2, we get:

n2 = (12 cm * 24) / 16 cm

Now we can calculate the value of n2:

n2 = 18

Therefore, the wheel with a diameter of 16 cm will make 18 revolutions at the same distance.

Answer

The wheel with a diameter of 16 cm will make 18 revolutions at the same distance.