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A 75 mm-diameter stainless steel cylindrical part is turned on a lathe at 450 rpm in one pass. The depth of cut is 2 mm and the feed is 0.5 mm/rev. What should the minimum power [W] of the lathe be?

Answer :

The minimum power [W] of the lathe should be approximately 842.4 W to turn the stainless steel cylindrical part under the given cutting conditions.

To calculate the minimum power [W] required for the lathe to turn the stainless steel cylindrical part, we need to determine the cutting speed, the material removal rate, and the specific cutting energy, and use these values in the following equation:
P = MRR × U × K
where:
P = power [W]
MRR = material removal rate [mm^3/s]
U = specific cutting energy [J/mm^3]
K = a constant factor based on units (e.g., K = 60 for metric units)
First, let's calculate the cutting speed:
V = π × D × N / 1000
where:
V = cutting speed [m/s]
D = diameter [mm]
N = spindle speed [rpm]
Plugging in the values, we get:
V = π × 75 × 450 / 1000 = 99.82 [m/min]
Next, we can calculate the material removal rate:
MRR = depth of cut × feed × width of cut × V
where:
width of cut = π × D / 2 = 117.81 [mm]
Plugging in the values, we get:
MRR = 2 × 0.5 × 117.81 × 99.82 / 1000 = 11.70 [mm^3/s]
Next, we need to determine the specific cutting energy. For stainless steel, a typical value for the specific cutting energy is around 1.2 J/mm^3.
Finally, we can calculate the minimum power required for the lathe:
P = MRR × U × K = 11.70 × 1.2 × 60 = 842.4 [W]
Therefore, the minimum power [W] of the lathe should be approximately 842.4 W to turn the stainless steel cylindrical part under the given cutting conditions.

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