Question

A sine bar has a length of 250 mm, each roller has a diameter of 20 mm, during taper angle measurement of a component, the height from the surface plate to the Centre of a roller is 100 mm.The calculated taper angle (in degrees) is

• A. $68.9$
• B. $22.8$
• C. $21.1$
• D. $23.6$

Answer 1

The correct option is C $21.1$

$\text{Consider}\Delta ABC,wehave$

$BC=100-\frac{20}{2}=90mm$

$sin\theta =\frac{BC}{AB}=\frac{90}{250}$

$\theta ={21.1}^{\circ }$