There is a product in our factory that needs to drill a screw countersunk hole in the thin plate. In the past, it was difficult to directly measure the depth of the countersunk hole. Therefore, the screw head was too deep in the assembly, and there was a gap between the fasteners, which could not be fastened (Fig. 1). For this reason, we came up with the indirect Method of measurement (Figure 2). Put a steel ball of suitable diameter into the counterbore hole. When the thickness δ of the thin plate, the diameter D of the steel ball, the taper angle α and the diameter d of the bottom hole are known, the distance H from the top of the ball to the bottom of the plate can be measured. The following formula is used to find the depth of the countersunk hole h (the formula is deduced slightly):
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