A 12-tooth gear on a motor shaft drives a larger gear having 42 teeth. If the motor shaft rotates at 700 rpm, what is the speed of the larger gear? The speed of the larger gear is nothing rpm.

203 rpm

Step-by-step explanation:

The speed of the larger gear can be calculated using the following equation:

Where:

ω: is the angular velocity of the motor = 700 rpm

R: is the gear ratio

The gear ratio is the following:

Where:

n(a): is the number of teeth on the small gear = 12 teeth  

n(b): is the number of teeth on the larger gear = 42 teeth

The gear ratio is:

Now, the speed of the larger gear is:

Therefore, the speed of the larger gear is 203 rpm.

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