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valkas [14]
3 years ago
15

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 spee

d of the larger​ gear? The speed of the larger gear is nothing rpm.
Mathematics
1 answer:
nata0808 [166]3 years ago
3 0

Answer:

203 rpm

Step-by-step explanation:

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

v = \omega*R  

<u>Where</u>:

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

R: is the gear ratio

The gear ratio is the following:

R = \frac{n_{(a)}}{n_{(b)}}  

<u>Where:</u>

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:

R = \frac{12}{42} = 0.29

Now, the speed of the larger gear is:

v = \omega*R = 700 rpm*0.29 = 203 rpm

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

I hope it helps you!                        

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