Step 1: Understand the relationship between lead, pitch, and the number of threads.
For a screw with multiple threads, the relationship between the lead (\(L\)) and the pitch (\(P\)) is given by:
\[
L = n \times P
\]
where:
\(L\) is the lead of the screw,
\(n\) is the number of threads (in this case, 3 for a triple-threaded screw),
\(P\) is the pitch of the screw (the distance between threads).
Step 2: Substitute the known values into the equation.
We are given the lead \(L = 30 \, \text{mm}\) and the number of threads \(n = 3\). We can solve for the pitch \(P\) as follows:
\[
30 = 3 \times P
\]
\[
P = \frac{30}{3} = 10 \, \text{mm}
\]
Thus, the pitch of the screw is \(10 \, \text{mm}\).