if gear A has 3 teeth and drives gear B with 75teeth,how many times does gear A rotate for each rotation of B?

75/3 = 25

To determine how many times gear A rotates for each rotation of gear B, you need to compare the number of teeth on each gear. The ratio of the number of teeth between two gears indicates the rotation relationship between them.

In this case, gear A has 3 teeth, and gear B has 75 teeth. To find the rotation ratio, divide the number of teeth on gear B by the number of teeth on gear A:

Rotation Ratio = Number of Teeth on Gear B / Number of Teeth on Gear A

Substituting the given values:

Rotation Ratio = 75 / 3 = 25

Therefore, gear A rotates 25 times for each rotation of gear B.