Calculate the gear ratio for a setup with 12 teeth on the input gear and 48 teeth on the output gear. Is this…

Question

Calculate the gear ratio for a setup with 12 teeth on the input gear and 48 teeth on the output gear. Is this a low or high gear?

ScanSolve AI Tutor · Accepted Answer

Here are the calculations for the gear ratio:

1. What is the gear ratio for this set up?

Identify the number of teeth on the input (drive) and output (driven) gears.
Input gear (drive) teeth = 12
Output gear (driven) teeth = 48
Calculate the gear ratio using the formula
$\text{Gear Ratio} = \frac{\text{Number of teeth on driven gear}}{\text{Number of teeth on driving gear}}$
Substitute the values and simplify.
$\text{Gear Ratio} = \frac{48}{12}$ $\text{Gear Ratio} = 4$
The gear ratio is $\boxed{\text{4:1}}$ .

2. Is this "low gear or high gear"?

Since the gear ratio is 4 (which is greater than 1), the output speed is lower than the input speed, and the output torque is higher. This configuration is a speed reduction and torque multiplication, characteristic of a low gear.
This is a $\boxed{\text{low gear}}$ .

Calculate the gear ratio for a setup with 12 teeth on the input gear and 48 teeth on the output gear. Is this a low or high gear?