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
[tex]n_{1}*c_{1}=n_{2}*c_{2}[/tex], 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
∵ [tex]n_{1}[/tex] = 50
∵ [tex]c_{1}[/tex] = 60
∵ [tex]c_{2}[/tex] = 40
- Substitute these values in the rule below
∵ [tex]n_{1}[/tex] × [tex]c_{1}[/tex] = [tex]n_{2}[/tex] × [tex]c_{2}[/tex]
∴ 50 × 60 = [tex]n_{2}[/tex] × 40
∴ 3000 = 40 [tex]n_{2}[/tex]
- Divide both sides by 40
∴ [tex]n_{2}[/tex] = 75 complete revolutions
The second gear will complete 75 complete revolutions
