QuestionWhat rotation must the driver gear make for gear to rotate clockwise? Explain how you found your answer.
If gear A rotates , then it turns through teeth on the gear. This corresponds to teeth on the driver gear, which has 16 teeth in total. So, the driver gear must make a rotation of
(Type whole numbers.)
Studdy Solution
STEP 1
1. Gear A has 8 teeth.
2. The Driver Gear has 16 teeth.
3. We need to determine the rotation of the Driver Gear for Gear A to rotate .
STEP 2
1. Determine the number of teeth Gear A turns through for a rotation.
2. Relate the teeth of Gear A to the teeth of the Driver Gear.
3. Calculate the rotation of the Driver Gear.
STEP 3
First, we need to determine how many teeth correspond to a rotation for Gear A. Since Gear A has 8 teeth, a full rotation corresponds to all 8 teeth. Therefore, a rotation corresponds to:
STEP 4
Calculate the number of teeth Gear A turns through for a rotation:
So, Gear A turns through 2 teeth.
STEP 5
Now, relate the teeth of Gear A to the Driver Gear. Since Gear A turns through 2 teeth, the Driver Gear must also turn through 2 teeth to achieve this rotation.
STEP 6
Calculate the rotation of the Driver Gear. Since the Driver Gear has 16 teeth, turning through 2 teeth corresponds to:
STEP 7
Calculate the rotation of the Driver Gear:
So, the Driver Gear must make a rotation of .
The driver gear must make a rotation of .
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