What is the tail offset required in lathe to produce a taper of 60° over a length of 0.2 m on a shaft of overall length of 1 m?

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ISRO MCF Technical Assistant Mechanical 23 June 2019 Official Paper
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  1. 0.2 sin 60° 
  2. 0.2 sin 30°
  3. 1 sin 60°
  4. 1 sin 30°

Answer (Detailed Solution Below)

Option 4 : 1 sin 30°
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Detailed Solution

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Concept:

Offset in tailstock is given by;

\(sin\frac{α}{2}=\frac{S}{L_w}\)

where, S = Tail offset, α = Taper angle, Lw = workpiece length,

Calculation:

Given:

α = 60°, Lw = 1 m,

\(sin(\frac{60}{2})=\frac{S}{1}\)

S = 1 × sin 30° 

S = 1 sin 30° 

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