Final answer:
The diameter of the wire can be calculated using the formula p + (6x/100), where p is the pitch and x is the number of divisions coinciding with the main scale.
Step-by-step explanation:
To determine the diameter of the wire using the screw gauge, we need to understand its readings. The screw gauge has a pitch of p and 100 divisions on its circular scale. With nothing between the jaws, it reads 5 divisions. When measuring the wire, there are 6 divisions on the main scale, and x divisions coincide with the main scale. The formula to calculate the diameter of the wire is given as:
diameter of wire = p + (6x/100)