GATE ME 2022 Set 2 — Question 56
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Metrology, CIM & Additive Mfg → Metrology & Inspection → Linear & Angular Measurement
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Question
The best size wire is fitted in a groove of a metric screw such that the wire touches the flanks of the thread on the pitch line as shown in the figure. The pitch () and included angle of the thread are and , respectively. The diameter of the best size wire is ___________ mm (round off to 2 decimal places).

Correct answer
2.29 to 2.33
Solution
The diameter of the best size wire () is defined as the diameter of a wire which, when placed in the thread groove, touches the flanks at the pitch line. For a standard V-thread (like a metric screw), the formula is:where:
- is the pitch of the screw thread.
- is the included angle of the thread.
- Pitch () =
- Included angle () =
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