The height (in {mm} ) for a 125 {mm} sine bar to measure a taper of 27^{\circ} 32^{'} on a flat work piece is_____________ (correct to three decimal places).

GATE Mechanical Engineering (ME) 2018 Shift 1 Solved Paper

Question : 20 of 65

Marks: +1, -0

The height (in

{mm}

) for a

125 {mm}

sine bar to measure a taper of

27^{∘} 32^{'}

on a flat work piece is_____________ (correct to three decimal places).

Solution:

θ=27^{∘} 32^{'}

=27+(\;{32}/{60})^{∘}=27.533^{∘}

In sine bar,

\sin θ=\;{H}/{L}

Where

{H}=

height of specimen and

{L}=

Length of Sine bar (length between center of two rollers)

∴ \;\; \sin 27.533^{∘}=\;{H}/{125}

H=57.782427

H ≈ 57.782 {mm}

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