GATE ME 2021 Set 2 — Question 52
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Metrology, CIM & Additive Mfg → Metrology & Inspection → Linear & Angular Measurement
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Question
A 76.2 mm gauge block is used under one end of a 254 mm sine bar with roll diameter of 25.4 mm. The height of gauge blocks required at the other end of the sine bar to measure an angle of 30° is __________ mm (round off to two decimal places).
Correct answer
200 to 206
Solution
The working principle of a sine bar is based on trigonometry. The angle is related to the length of the sine bar (the distance between the centers of the rollers) and the height difference between the two rollers by the formula:Given:
- Length of the sine bar, mm.
- Angle to be measured, .
- Height of the gauge block under one end, mm.
- The height of the gauge blocks required at the other end is .
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