Question

Имеются две шестерёнки с одинаковыми зубьями, но разного диаметра: одна в пять раз больше другой. Большая шестерёнка неподвижна, а маленькая катится по большой, делая вокруг неё один оборот. Сколько оборотов сделает маленькая шестерёнка вокруг своей оси?

Answer 1

5*6=30-обротов зделает маленькая шесетёнка вокруг своей оси

Answer 2

Calculating the Number of Revolutions

To calculate the number of revolutions the smaller gear makes around its own axis while rolling around the larger gear, we can use the concept of gear ratios.

Given: - The larger gear is stationary. - The smaller gear makes one revolution around the larger gear.

We can calculate the number of revolutions the smaller gear makes around its own axis.

Formula for Gear Ratios

The formula for calculating the number of revolutions the smaller gear makes around its own axis is:

Number of revolutions = (Number of teeth on larger gear) / (Number of teeth on smaller gear)

Applying the Formula

In this case, since the gears have the same number of teeth, the ratio of their circumferences is the same as the ratio of their radii, which is also the same as the ratio of their diameters.

Given that the larger gear is 5 times the diameter of the smaller gear, the number of revolutions the smaller gear makes around its own axis while rolling around the larger gear can be calculated as:

Number of revolutions = 5

So, the smaller gear will make 5 revolutions around its own axis while making one revolution around the larger gear.

I hope this helps! If you have further questions, feel free to ask.