Question

There are two connected gears. One has 60 teeth and it makes 50 complete revolutions in a minute. How many complete revolutions will the second gear complete, if it has 40 teeth?

Answer 1

The second gear will complete 75 complete revolutions

Explanation:

- There are two connected gears

- One has 60 teeth and the other has 40 teeth

- The two gears have different revolutions depends on the number of

their teethes

- They do the same job

- The relation between them is

`n_(1)*c_(1)=n_(2)*c_(2)`, where n is the number of the complete

revolutions and c is the number of the teeth

- The gear which has less teethes makes more complete revolutions

∵
`n_(1)` = 50

∵
`c_(1)` = 60

∵
`c_(2)` = 40

- Substitute these values in the rule below

∵
`n_(1)` ×
`c_(1)` =
`n_(2)` ×
`c_(2)`

∴ 50 × 60 =
`n_(2)` × 40

∴ 3000 = 40
`n_(2)`

- Divide both sides by 40

∴
`n_(2)` = 75 complete revolutions

The second gear will complete 75 complete revolutions