A 28 tooth gear turns at 100 rpm and drives a 112 tooth gear. What is the speed of the follower gear?

To determine the speed of the follower gear, we can use the relationship between the number of teeth on the driving gear and the driven gear along with their respective speeds. The formula that relates the speeds and the number of teeth is given by:

[

\text{Speed of driving gear} \times \text{Number of teeth on driving gear} = \text{Speed of driven gear} \times \text{Number of teeth on driven gear}

]

In this scenario, the driving gear has 28 teeth and is rotating at 100 rpm. The follower gear, which the driving gear drives, has 112 teeth.

Using the formula:

[

100 \text{ rpm} \times 28 = \text{Speed of driven gear} \times 112

]

Now, calculate the left side:

[

2800 = \text{Speed of driven gear} \times 112

]

Next, to find the speed of the driven gear, we can solve for it by dividing both sides by 112:

[

\text{Speed of driven gear} = \frac{2800}{112} = 25 \text{ rpm}

]

Thus, the speed of the follower gear is