Answer
$$ 10 \ teeth.$$
Work Step by Step
Using the gear ratio ($16 \ teeth \times 40 \ rpm= x \ teeth \times 64 \ rpm$), we have
$$ 64x=40\cdot 16\Longrightarrow x=\frac{16\cdot 40}{64}=10 \ teeth.$$
Elementary Technical Mathematics
by Nelson, Robert; Eren, Dale;
Published by
Brooks Cole
ISBN 10:
1285199197
ISBN 13:
978-1-28519-919-1
Chapter 8 - Cumulative Review - Page 319: 23
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