Calculate the power consumed by: A lathe in which the cutting force applied to the tool is 700 N, and the rotational speed of the workpiece with a diameter of 350 mm is 200 r/min.
First we need to calculate the cutting power, which is given by the formula:
Pcut = F * v
where:
Pcut = cutting power (W)
F = cutting force (N)
v = cutting speed (m/min)
The cutting speed can be calculated using the formula:
v = π * D * n / 60
where:
D = diameter of the workpiece (m)
n = rotational speed (rpm)
First we convert the diameter of the workpiece from mm to m:
D = 350 mm = 0.35 m
Now we can calculate the cutting speed:
v = π * 0.35 * 200 / 60
v ≈ 3.67 m/min
Now we can calculate the cutting power:
Pcut = 700 * 3.67
Pcut ≈ 2569 W
Therefore, the power consumed by the lathe is approximately 2569 W.