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7/8-9 UNC Tap Drill Size

The number you came for, then the reasoning behind it.

7/8-9 UNC tap drill — 75% thread 49/64 0.7656" · 19.5 mm metric equivalent

How it's calculated

Tap drill = major diameter − (0.01299 × %thread) / TPI  →  0.8750 − (0.01299 × 75) / 9 = 0.7668"

The nearest standard drill above that is 49/64 at 0.7656".

All engagement percentages

% threadExact hole Inch drill Metric equivalent
50%0.8028"51/64 (0.7969")20.4 mm
65%0.7812"25/32 (0.7812")19.8 mm
75%0.7668"49/64 (0.7656")19.5 mm
85%0.7523"3/4 (0.7500")19.1 mm
Which percentage should you actually use?
75% for through-holes in mild steel and aluminium. 65% for blind holes, stainless, titanium and anything where the tap is at risk. 50% for hand-tapping deep holes. The strength you give up going from 75% to 60% is around 5%; the tapping torque you give up is around 30%. In practice the threads almost never fail — the tap does.

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