Question

The number of teeth in driving and the driven gears of a gear system are 20 and 250, respectively. What is the mechanical advantage of this system?

Answer 1

Given:

Number of teeth on driving gear (N_A) = 20

Number of teeth on driven gear (N_B) = 250

Formula:

For an ideal gear system, the mechanical advantage is given by the ratio of the number of teeth on the driven gear to the driving gear:

Mechanical Advantage (MA) = `("Number of teeth on driven gear" (N_B))/("Number of teeth on driving gear" (N_A))`

= `250/20`

= `25/2`

= 12.5

The mechanical advantage of the gear system is 12.5.