If the pitch of a screw is 2/9, what is the corresponding thread per inch?

To find the threads per inch of a screw when given its pitch, you can use the relationship between the two. The pitch, defined as the distance between adjacent threads along the axial direction, is given as 2/9 inches. The thread per inch (TPI) is determined by the formula:

[ \text{Threads per inch} = \frac{1}{\text{Pitch}} ]

Given the pitch of 2/9 inches, we can substitute this into the formula:

[ \text{Threads per inch} = \frac{1}{2/9} = \frac{9}{2} = 4.5 ]

This calculation shows that for a pitch of 2/9 inches, the resulting threads per inch is indeed 4.5. This means that there are 4.5 threads in one inch of the screw's length, which is consistent with the properties of threaded fasteners. Understanding this relationship helps ensure proper compatibility and fit between screws and corresponding nuts or tapped holes.