# Machining Metal Removal

## Cutting Speed formula

\(\large{ v_c = \pi \; d_o \; N }\) |

### Where:

\(\large{ v_c } \) = cutting speed

\(\large{ d_o } \) = origional diameter of workpiece

\(\large{ \pi } \) = Pi

\(\large{ N } \) = rotation speed of workpiece

## Cutting Time formula

\(\large{ t_c = \frac{ l }{ f \; N } }\) |

### Where:

\(\large{ t_c } \) = cutting time

\(\large{ f } \) = feed

\(\large{ l } \) = length of cut

\(\large{ N } \) = rotation speed of workpiece

## Cubic Inch Per Minute Metal Removal Rate formula

\(\large{ CIP = SFM \; 12 \;\; IPR \; d_o }\) |

### Where:

\(\large{ CIP } \) = cubic inch per minute metal removal rate

\(\large{ IPR } \) = inches per revolutions feed rate

\(\large{ d_o } \) = origional diameter of workpiece

\(\large{ SFM } \) = surface feet per minute

## Feed formulas

\(\large{ f = \frac{ l_m }{ v } }\) | |

\(\large{ f = v \; f_t \; Z }\) |

### Where:

\(\large{ f } \) = feed

\(\large{ f_t } \) = feed per tooth

\(\large{ l_m } \) = machined length per minute

\(\large{ Z } \) = number of flutes

\(\large{ v } \) = spindle speed

## Feed Rate formulas

\(\large{ fr = \frac{ HP }{ MMF \; c_d \; c_w } }\) | |

\(\large{ fr = RPM \; N \; CL }\) |

### Where:

\(\large{ fr } \) = feed rate

\(\large{ CL } \) = clip load per tooth

\(\large{ c_d } \) = cut depth

\(\large{ c_w } \) = cut width

\(\large{ HP } \) = horsepower

\(\large{ MRR } \) = material removal rate

\(\large{ N } \) = number of teeth on the cutter

## Horsepower formulas

\(\large{ HP = MRR \; MMF }\) | |

\(\large{ HP = MMF \; c_d \; c_w \; fr }\) |

### Where:

\(\large{ HP } \) = horsepower

\(\large{ c_d } \) = cut depth

\(\large{ c_w } \) = cut width

\(\large{ fr } \) = feed rate

\(\large{ MMF } \) = material machining factor

\(\large{ MRR } \) = material removal rate

## Inches per Minute Feed Rate formula

\(\large{ IPM = RPM \; IPR }\) |

### Where:

\(\large{ IPM } \) = inches per minute feed rate

\(\large{ IPR } \) = inches per revolutions feed rate

\(\large{ RPM } \) = revolutions per minute

## Inches per revolutions Feed Rate formula

\(\large{ IPR = \frac{ IPM }{ RPM } }\) |

### Where:

\(\large{ IPR } \) = inches per revolutions feed rate

\(\large{ IPM } \) = inches per minute feed rate

\(\large{ RPM } \) = revolutions per minute

## Material Machining Factor Table

Material | MMF |
---|---|

Aluminum | 0.12 |

Brass | 0.4 |

Low-carbon Steel | 1.25 |

High-carbon & Low-alloy Steel | 1.5 - 1.9 |

Stainless and Tool Steels | 1.8 - 2.2 |

Super Alloys | 2.5 - 5.0 |

## Material Removial Rate formula

\(\large{ MRR = c_d \; c_w \; fr }\) |

### Where:

\(\large{ MRR } \) = material removal rate

\(\large{ c_d } \) = cut depth

\(\large{ c_w } \) = cut width

\(\large{ fr } \) = feed rate

## revolutions Per Minute formula

\(\large{ RPM = \frac{ SFM \; \frac{12}{ \pi } }{ d_o } }\) |

### Where:

\(\large{ RPM } \) = revolutions per minute

\(\large{ d_o } \) = origional diameter of workpiece

\(\large{ \pi } \) = Pi

\(\large{ SFM } \) = surface feet per minute

## Surface Feet Per Minute formula

\(\large{ SFM = \frac{ RPM \; d_o \; \pi }{ 12 } }\) |

### Where:

\(\large{ SFM } \) = surface feet per minute

\(\large{ d_o } \) = origional diameter of workpiece

\(\large{ \pi } \) = Pi

\(\large{ RPM } \) = revolutions per minute

Tags: Equations for Thermal Conductivity Equations for Welding Equations for Machining