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GATE ME 2021 Official Paper: Shift 1

Free

CT 1: Ratio and Proportion

2672

10 Questions
16 Marks
30 Mins

__ Concept__:

**Pitch**: It is the linear distance covered while revolving a complete 360° turn.

__ Calculation__:

__ Given__:

Pitch = 1 mm, Backlash in terms of degree = 1.8° and Backlash in linear measurements = ?

For 360° rotation linear movement covered is 1 mm.

For 1.8° rotation, the linear movement covered is \(\frac{1}{360}\times1.8=\frac{1}{200}\;mm\)

The tool is moved from point P(1, 1) to point O (51, 1) i.e. 50 mm.

∴ the backlash that occurred while covering 50 mm is \(50\times\frac{1}{200}=0.25\;mm\)

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