Question

How fast does a driven gear turn if it has 25 teeth (t) and is driven by a10-tooth driver gear (T) at 250 RPM?

Answer 1

Given:

The number of teeth = t = 25

The gear is driven by a 10-tooth driver gear (T) at 250 RPM

Let the speed = s

So, using the ratio and proportion

`(25)/(s)=(10)/(250)`

Solve for s:

`\begin{gathered} 10s=25\cdot250 \\ \\ s=(25\cdot250)/(10)=25\cdot25=625 \end{gathered}`

So, the fear will be driven by 625 RP