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

Answer:

The second gear will complete 75 complete revolutions

Step-by-step 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

Answer 2

Answer:

The second gear will complete 75 complete revolutions

Step-by-step 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

  , 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

∵  = 50

∵  = 60

∵  = 40

- Substitute these values in the rule below

∵  ×  =  ×

∴ 50 × 60 =  × 40

∴ 3000 = 40

- Divide both sides by 40

∴  = 75 complete revolutions

The second gear will complete 75 complete revolutions

Step-by-step explanation: