The document details the calculations and equations relevant to turning operations in machining, including rotational speed, feed rate, machining time, and material removal rate. Key formulas are provided, along with an example that illustrates these calculations using specific data. It highlights the relationships between various parameters such as cutting speed, diameter, and depth of cut.

1. Turning Equations
Rotational Speed: N (RPM’s)
π DO
v
N = N = Rotational Speed (RPM’s)
v = Cutting Speed (SFPM)
DO = Original Diameter
Feed Rate: fr (Dist/Min)
fr = N f fr = Feed Rate (Dist/Min)
N = Rotational Speed (RPM’s)
f = Feed (Dist/Rev)
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2. Turning Equations
Machining Time (Min.)
Tm =
L
fr
Tm = Machining Time (Min.)
L = Length of Cut
fr = Feed Rate (In./Min.)
Material Removal Rate (in. cu./Min)
MRR = v f d
MRR = Material Removal Rate (in.cu./Min)
v = Cutting Speed (SFPM)
f = Feed (Dist./Rev.)
d = Depth of Cut
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3. Turning Operations
DO Df
d
d
DO = Original Diameter
Df = Final Diameter
d = Depth of Cut
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d =
Do - Df
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4. Turning Example
Data: v = 125 SFPM; f = 0.0015 in/rev
Df = 0.125”
Do = 0.250”
L = 6.250”
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5. Turning Example
Rotational Speed
N =
v
π Do
N =
(125) (12)
π 0.250
N = 1909.8593 RPM’s
Feed Rate
fr = N f
fr = (1909.8593) (0.0015)
fr = 2.8648 in/min
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6. Turning Example
Machining Time
Tm =
L
fr
Tm =
6.250
1.7189
Tm = 2.1817 Min
Depth of Cut
d =
Do - Df
2
d =
0.250 – 0.125
2
d = 0.0625”
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7. Turning Example
Material Removal Rate
MRR = v f d
MRR = (125 x 12) (0.0015) (0.0625)
MRR = 0.1406 in3/min
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