Question

A conical taper gauge is to be measured by the technique using sine centers in which the sine bar is set to one half of the included angle of the conical piece. If the included angle of taper piece is ${10}^{\circ }$ and the length of conical taper gauge is 100 mm, the height of gauge blocks required to set up the 250 mm sine centers is

• A. 17. 5 mm
• B. 8.75 mm
• C. 21. 78 mm
• D. 13. 12 mm

Answer 1

The correct option is C 21. 78 mm

$\theta =\frac{1}{2}$ include angle of the conical piece

$\theta =5^{\circ }$

$\sin \theta =\frac{\Delta h}{L}$

$\Delta h=L\sin \theta =250\times \sin 5^{\circ }=21.78\text{mm}$