A 36-tooth gear turns three times. It is connected to a 12-tooth gear. How many times does the 12-tooth gear turn?
Answer (3)
for each time the 36 gear turns, the 12 gear turns thrice, so if the 36 turns thrice, the 12 turns 9 times
The 36-tooth gear turns three times and is connected to a 12-tooth gear. Given the gear ratio of 3:1, the 12-tooth gear will turn 9 times.
When dealing with interconnected gears, the number of turns one gear makes affects the other based on their number of teeth. Here, the 36-tooth gear turns three times and is connected to a 12-tooth gear. To determine how many times the 12-tooth gear turns, we use the gear ratio formula:
Gear Ratio = Number of teeth on driving gear / Number of teeth on driven gear
In this case, the 36-tooth gear (driving gear) and the 12-tooth gear (driven gear) have a gear ratio of 36/12, which simplifies to 3:1. This means for every turn of the 36-tooth gear, the 12-tooth gear turns 3 times.
If the 36-tooth gear turns three times, then the 12-tooth gear will turn:
3 turns x 3 (gear ratio) = 9 turns
Thus, the 12-tooth gear turns 9 times.
The 12-tooth gear turns 9 times when the 36-tooth gear turns 3 times. This is based on the gear ratio of 3:1 between the two gears. Thus, for every turn of the 36-tooth gear, the 12-tooth gear completes 3 turns.
;
