
Metric Formulas & Terminology
Formula Terminology
xπxn D = Machined diameter mm
| V = | D | | m |
| m | Cutting speed (m/min) | |
| c | 1000 V | = | Cutting speed | m/min |
| c | | | |
| n | = | Spindle speed | rev/min |
| V x 1000 | | = | Period of engagement | min |
| n = c | Tc | | | |
| Dmxπ | Spindle speed (rev/min) | | | |
| Q | = | Metal removal | cm /min |
| z | | | 3 |
| l | = | Machined length | mm |
| V | m | | | |
| c x ap x fn x kc | | = | Power demand | kW |
| = | Power demand (kW) Pc | | | |
| 60 x 1000 x Pc | | | | |
| h | = | Specific cutting force | N/mm |
| Kc | | | 2 |
| f | = | Feed per revolution | mm/rev |
| n | | | |
| = V | k | = | Cutting edge angle | degree |
| Qz x f x a | Metal removal (cm3/min) r | | | |
| c | p n | | | |
| R max = | | Profile depth | µm |
| r | = | Insert nose radius | mm |
| e | | | |
| lm | = | Depth of cut | mm |
| = | ap | | | |
| Tc | Period of engagement (min) | | | |
| fn x n h | = | Efficiency | |
Trigonometrical Equivalents
| Dimension | | | Part to be Found | | |
| Given | A | B | a | b | c |
| a & c | sinA=a÷c | cosB=a÷c | | b = c2- a2 | |
| a & b | tanA=a÷b | cosB=a÷b | | | c = a2+ b2 |
| c & b | cosA=b÷c | sinB=b÷c | a = c2- b2 | | |
| A & a | | B = 90º - A | | b=axcotA | c=a÷sinA |
| A & b | | B = 90º - A | a=bxtanA | | c=b÷cosA |
| A & c | | B = 90º - A | a=cxsinA | b=cxcosA | |
Trigonometrical Equivalents
| Dimension Given | Parts to be Found | Formula |
| abc | A | cos A = b2+c2-a2÷ 2bc |
| abA | B | sinB=bxsinA÷a |
| abA | C | C = 180 -(A + B) |
| aAB | b | b=axsinB÷sinA |
| aAB | c | c = (a x sin C ÷ sin A) x |
| | (a x sin(180 - A - B)÷ sin A) |
| abC | B | B = 180 - (A + C) |