Answer
$40\ teeth$
Work Step by Step
The relationship of gear system is:
(no. of teeth in A)(rpm of A) = (no. of teeth in B)(rpm of B).
Now, we have
$$
50\times 64=x\times 80\Longrightarrow x=\frac{50\times 64 }{80}=40\ teeth
.$$
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: 24
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