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  • Formula for Turning

    Cutting Speed (vc)
    FORMULAE
    ※Divide by 1000 to change to m from mm.
    vc (m/min) : Cutting Speed
    Dm (mm) : Workpiece Diameter
    π (3.14) : Pi
    n (min-1) : Main Axis Spindle Speed
    Check the item you want to calculate, input values in the two boxes, and then press the Calculate button.
    n(min-1)
    Dm(mm)
    vc(m/min)


    image
    (Problem)
    What is the cutting speed when main axis spindle speed is 700min-1and external diameter is Φ50 ?
    (Answer)
    Substitute π=3.14, Dm=50, n=700 into the formula.
    vc=(π×Dm×n)÷1000=(3.14×50×700)÷1000
    =110(m/min)

    Cutting speed is 110m/min.


    Feed (f)
    FORMULAE
    f (mm/rev) : Feed per Revolution
    I (mm/min) : Cutting Length per Min.
    n (min-1) : Main Axis Spindle Speed
    Check the item you want to calculate, input values in the two boxes, and then press the Calculate button.
    l(mm/min)
    n(min-1)
    f(mm/rev)


    image
    (Problem)
    What is the feed per revolution when main axis spindle speed is 500min-1 and cutting length per minute is 120mm/min ?
    (Answer)
    Substitute n=500, I=120 into the formula.
    f=l÷n=120÷500=0.24(mm/rev)
    The answer is 0.24mm/rev.


    Cutting time (Tc)
    FORMULAE
    Tc(min):Cutting Time
    lm(mm):Workpiece Length
    l(mm/min):Cutting Length per Min.
    Input the values.
    lm(mm)
    l(mm/min)

    Tc(min)
    second(s)

    (Problem)
    What is the cutting time when 100mm workpiece is machined at 1000min-1 with feed = 0.2mm/rev ?
    (Answer)
    First, calculate the cutting length per min. from the feed and spindle speed.
    l=f×n=0.2×1000=200(mm/min)
    Substitute the answer above into the formula.
    Tc=lm÷l=100÷200=0.5(min)0.5×60=30(sec)
    The answer is 30 sec.

    Theoretical finished surface roughness (h)
    FORMULAE
    h (µm):Finished Surface Roughness
    f (mm/rev):Feed per Revolution
    RE (mm):Insert Corner Radius
    Input the values.
    f(mm/rev)
    RE(mm)

    h(µm)

    image
    (Problem)
    What is the theoretical finished surface roughness when the insert corner radius is 0.8mm and feed is 0.2mm/rev ?
    (Answer)
    Substitute f=0.2mm/rev, RE=0.8 into the formula.
    h=f2÷(8×Re)×1000=0.22÷(8×0.8)×1000=6.25µm
    The theoretical finished surface roughness is 6µm.

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