Turning Cutting Speed (vc), Feed (f) & Cutting Time (Tc) Calculator
Formula: vc = (π × Dm × n) / 1000
Formula: f = I / n
Formula: Tc = lm / I
Cutting Speed (vc) Calculation
Feed per Revolution (f) Calculation
Cutting Time (Tc) Calculation
※ vc: Divide by 1000 to change to m from mm. f & Tc: Uses shared n/I where applicable.
Parameter Details
vc
m/min
Cutting Speed
m/min
Cutting Speed
f
mm/rev
Feed per Revolution
mm/rev
Feed per Revolution
Tc
min
Cutting Time
min
Cutting Time
D / Dm
mm
Workpiece Diameter
mm
Workpiece Diameter
lm
mm
Workpiece Length
mm
Workpiece Length
I
mm/min
Feed Rate
mm/min
Feed Rate
n (min⁻¹)
Main Axis Spindle Speed
Main Axis Spindle Speed
This calculator uses π ≈ 3.14 for vc. For more precision, actual values may vary slightly.
Sample Calculation
Diagram illustrating basic concepts of speeds and feeds in lathe turning
Scenario (Metric): Turning a 50 mm diameter, 200 mm long steel workpiece with carbide tool at n = 955 min⁻¹ and I = 286.5 mm/min.
vc Step-by-Step:
- π × Dm × n = 3.14 × 50 × 955 ≈ 149,735
- Divide by 1000: 149,735 / 1000 = 149.74 m/min
- vc ≈ 150 m/min.
f Step-by-Step:
- f = I / n = 286.5 / 955 ≈ 0.30 mm/rev
Tc Step-by-Step:
- Tc = lm / I = 200 / 286.5 ≈ 0.70 min
Scenario (Imperial): Turning a 2 inch diameter, 7.87 inch long steel workpiece at n = 940 rpm and I = 11.27 in/min.
vc Step-by-Step:
- π × D × n = 3.14 × 2 × 940 ≈ 5,904
- Divide by 12: 5,904 / 12 ≈ 492 ft/min
- vc ≈ 492 ft/min (~150 m/min).
f Step-by-Step:
- f = I / n = 11.27 / 940 ≈ 0.012 in/rev
Tc Step-by-Step:
- Tc = L / I = 7.87 / 11.27 ≈ 0.70 min
Click "Load Sample Values" to fill in the inputs and see it in action!
