Question

The cutting speed of a milling cutter is 16.5 m/min. Find the diameter of cutter if cutter rpm is 250. \((π = \frac{22}{7})\)
1. 2.1 mm
2. 21 mm
3. 16.5 mm
4. 25 mm

Answer 1

Correct Answer - Option 2 : 21 mm

Concept:

Cutting speed of the milling tool is given by

\(V = π DN\)

where V = Cutter speed in m/min, D = Diameter of cutter in meter, N = rpm

Calculation:

Given:

V = 16.5 m/min, N = 250 rpm, \(π = \frac{22}{7}\)

\(16.5 = \frac{22\times D\times 250}{7}\)

\(D=\frac{16.5\times 7}{22\times250 }\)

D = 0.021 m

D = 21 mm.

The diameter of the cutter will be 21 mm.