Question

the machine bolt shown in figure 2 - 29 has a thread pitch of $\frac{1}{16}$ inch. the pitch is the distance between 2 adjacent threads or the thickness of 1 thread. find the number of threads in $\frac{7}{8}$ inch.

Explanation:

Step1: Identify given values

The length of the threaded part of the bolt is $l=\frac{7}{8}$ inch and the pitch of the thread is $p = \frac{1}{16}$ inch.

Step2: Use the formula for number of threads

The number of threads $n$ is given by the formula $n=\frac{l}{p}$. Substitute $l = \frac{7}{8}$ and $p=\frac{1}{16}$ into the formula.
$n=\frac{\frac{7}{8}}{\frac{1}{16}}$

Step3: Simplify the fraction

When dividing by a fraction, we multiply by its reciprocal. So $n=\frac{7}{8}\times16$.
$n = 14$

Answer:

14