Question

When turning a workpiece, two different tools are used. In the 1st tool, no nose radius is provided, the side cutting and the end cutting edge angles being 30° and 7° respectively. In the 2nd tool, a nose radius of 0.5 mm is provided. The feed used in both the cases is 0.250 mm. The ratio of the maximum height of unevenness in the generated surfaces by tool 1 to tool 2 is

• A. 1.462
• B. 1.84
• C. 0.558
• D. 0.684

Answer 1

The correct option is B 1.84

For tool 1,

${\left(H_{max}\right)}_1=\frac{0.25}{\tan 30{}^{\circ }+\cot 7{}^{\circ }}=0.0287mm$

For tool 2, ${\left(H_{max}\right)}_2=\frac{{\left(0.25\right)}^2}{8\times 0.5}=0.0156mm$

$\therefore$ $\frac{{\left(H_{max}\right)}_1}{{\left(H_{max}\right)}_2}=1.84$