Calculate the gear ratio for each exercise, given the number of teeth on the drive and driven gears.

Question

ScanSolve AI Tutor · Accepted Answer

Assuming the exercise asks for the gear ratio, which is the ratio of the number of teeth on the driven gear to the number of teeth on the drive gear:

\text{Gear Ratio} = \frac{\text{Number of teeth on Driven Gear}}{\text{Number of teeth on Drive Gear}}

:

Identify the number of teeth for the drive and driven gears.
Drive Gear: 10 teeth
Driven Gear: 40 teeth
Calculate the gear ratio.
$\text{Gear Ratio} = \frac{40 \text{ teeth}}{10 \text{ teeth}} = \boxed{4}$
:
Identify the number of teeth for the drive and driven gears.
Drive Gear: 30 teeth
Driven Gear: 15 teeth
Calculate the gear ratio.
$\text{Gear Ratio} = \frac{15 \text{ teeth}}{30 \text{ teeth}} = \boxed{0.5}$
:
Identify the number of teeth for the drive and driven gears.
Drive Gear: 12 teeth
Driven Gear: 36 teeth
Calculate the gear ratio.
$\text{Gear Ratio} = \frac{36 \text{ teeth}}{12 \text{ teeth}} = \boxed{3}$
:
Identify the number of teeth for the drive and driven gears.
Drive Gear: 25 teeth
Driven Gear: 25 teeth
Calculate the gear ratio.
$\text{Gear Ratio} = \frac{25 \text{ teeth}}{25 \text{ teeth}} = \boxed{1}$

Answers