Answer
$40\ teeth$
Work Step by Step
The relationship of a gear system is:
(no. of teeth in A)(rpm of A) =(no. of teeth in B)(rpm of B).
Now, we have
$$
120\times 30=x\times 90\Longrightarrow x=\frac{120\times 30}{90}=40\ teeth
.$$
Elementary Technical Mathematics
by Nelson, Robert; Eren, Dale;
Published by
Brooks Cole
ISBN 10:
1285199197
ISBN 13:
978-1-28519-919-1
Chapter 7 - Section 7.4 - Inverse Variation - Exercises - Page 288: 31
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