## Threaded Screw

A $1\;7/8$-inch screw is threaded for $2/3$ of its length. If the screw has $16$ threads, how far will it go into a piece of wood with each complete turn?
Source: NCTM Mathematics Teacher 2008

SOLUTION
Length of threaded part
$\dfrac{15}{8}\times\dfrac{2}{3}=\dfrac{5}{4}$
Depth of penetration of each complete turn of thread
$\dfrac{5}{4}\div 16=\dfrac{5}{64}$ in

Answer: $5/64$ in.

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## About mvtrinh

Retired high school math teacher.
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