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Question 77

Statics | Mechanical advantage | difficulty level 1

A gear train is arranged as a speed multiplier with Gear A driving Gear B. Gear A has 12 teeth and rotates at a speed of 1800 RPM (revolutions per minute). Gear B has 36 teeth. What is the rotational speed of Gear B?

Explanation

Because Gear B has more teeth than Gear A, one full rotation of Gear A will correspond to less than one full rotation of Gear B. This means Gear B must be rotating at a lower speed than Gear A.

The speed of gears in a gear train is inversely proportional to the number of teeth they have, based on the gear ratio. The gear ratio can be determined using the formula:
GearRatio=TeethGearATeethGearB=1236=13
If Gear A rotates at 1800 RPM, Gear B will rotate at:
1800RPM3=600RPM

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