GATE 2023 Mechanical Engineering Q44

Question

In an ideal orthogonal cutting experiment (see figure), the cutting speed V is 1 m/s, the rake angle of the tool α = 5°, and the shear angle, φ, is known to be 45°.
Applying the ideal orthogonal cutting model, consider two shear planes PQ and RS close to each other. As they approach the thin shear zone (shown as a thick line in the figure), plane RS gets sheared with respect to PQ (point R1 shears to R2, and S1 shears to S2).
Assuming that the perpendicular distance between PQ and RS is δ = 25 µm, what is the value of shear strain rate (in s⁻¹) that the material undergoes at the shear zone?

Answer

1.84 x 10⁴

Answer

5.20 × 10⁴

Answer

0.71 x 10⁴

Answer

1.30 × 10⁴