Answer:
203 rpm
Step-by-step explanation:
The speed of the larger gear can be calculated using the following equation:
[tex] v = \omega*R [/tex]
Where:
ω: is the angular velocity of the motor = 700 rpm
R: is the gear ratio
The gear ratio is the following:
[tex] R = \frac{n_{(a)}}{n_{(b)}} [/tex]
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:
[tex]R = \frac{12}{42} = 0.29[/tex]
Now, the speed of the larger gear is:
[tex]v = \omega*R = 700 rpm*0.29 = 203 rpm[/tex]
Therefore, the speed of the larger gear is 203 rpm.
I hope it helps you!
