Question

An experimental setup is planned to determine the taper of the workpiece as shown in the figure. If the two precision rollers have radii 8 mm and 5 mm and the total thickness of slip gauges inserted between the rollers is 15.54 mm, the taper angles ${}^{\prime }\theta {}^{\prime }$ is

• A. $\text{11 deg}$
• B. $\text{6 deg}$
• C. $\text{10 deg}$
• D. $\text{12 deg}$

Answer 1

The correct option is D $\text{12 deg}$

$\text{Consider}\Delta O_1\text{and}{O}_2\text{, we get}$

$tan\frac{\theta }{2}=\frac{3}{5+8+15.54}$

$\frac{\theta }{2}=6^{\circ }$

$\theta ={12}^{\circ }$