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Definition Ne : The English cotton count indicates the weight in lb of material of 840 yds length. Nm : The metric yarn count indicates how many Km of yarn are contained in 1 kg or how many meters of yarn are contained in 1 gram. Tex : The system indicates the weight in gram of material of 1 Km length. Count : Numerical expression of yarn fineness is called count.
TEXTILE CALCULATIONS It is an important tool for operating a process( i.e. Spinning, Weaving, Knitting & Dying) smoothly of a process supervisor. So clear conception is necessary to do their jobs. Some often-used formula/Calculations are shown below – BLOW ROOM : (Carding prodn kg/h + Waste kg/h) X Running time of UNIfloc in min Prodn in Kg
=
----------------------------------------------------------------------------------Stop/Go ratio X 60
Stop / Go ratio =
Waste %
Running time of UNIfloc (Operating hrs counter) -------------------------------------------------------------------Actual time
Amount of waste in Kg = --------------------------------- X 100 prodn in Kg
Cleaning Efficiency
=
% trash in cotton - % trash in Card matt ---------------------------------------------------% trash in cotton
CARDING: Delivery speed X 60 X Ktex = ------------------------------------1000
7000/453.6 gr = ------------------ = 14.1111 gr/yd 39.37/36 yd Kg X 1000 Delivery speed =---------------- m/min Ktex X 60 DRAWING : Draft Calculation : Draft (Direct system)
Input sliver Ktex = ----------------------- X no. of doubling Output sliver Ktex
Draft (Indirect system) =
Output sliver hank ------------------------- X no. of doubling Input sliver hank
Can Capacity Calculation : 1.5 X H X D2 Can content =
--------------------
Kg
1000 COMBER : Production Calculation :
Where, H = Can height (inch) D = Can diameter (inch)
Feed/nip X nip/min X 60 X no. of heads X (1 – noil%) X Effi.X Lap Ktex n Prod /hr in Kg = -------------------------------------------------------------------------------------1000 X 1000 NOIL % Calculation : Wt. of collected noil Noil % = -------------------------------------- X 100 Wt of collected (sliver + noil)
Draft Calculation :
Draft =
0.245 X s X g X (100 - a)/100 X (100 – p)/100 --------------------------------------------------------b
Where, s = feed/cycle(mm) g = lap Ktex a = batt tension % p = noil% b = Sliver Ktex SIMPLEX : Roving Content Calculation : 3 X L X D2 Roving content = ---------------- Kg 1000 Where, L = Bobbin lift (inch) D = Empty bobbin diameter (inch) RING : Production Calculation : Spl speed X 60 X 8 X no. of Spl X Effi Prodn /shift in Kg = ----------------------------------------------TPI X 36 X 840 X count X 2.2046 TPI Calculation : TPI = TM (Count)1/2
Another Way, TPI
Spindle Speed =------------------------ = S.S of front Roller Spindle speed = ------------------- , nπdF
Spindle Speed ----------------------------------rpm of Front Roller X π X dF Where , n = rpm of front Roller dF = Front Roller dia
Delivery Speed Calculation : Delivery Speed =
rpm of Spindle ------------------- (inch) TPI
Traveller Speed Calculation :
Nw
=
Ns - NT
Where , Nw = Winding speed Ns = Spindle Speed NT = Traveller Speed or,
F.R.D ---------- = πdB
Ns - NT
or,
rpm of F.D X πdF -------------------------= Ns - NT πdB
or,
rpm of F.D X dF -------------------------= Ns - NT dB
or,
NT
rpm of F.D = N - ----------------dB
GPSS Calculation : GPSS =
7.2 X Spindle Speed X Effi ----------------------------------TPI X Count
Cops Content Calculation : Cops content = 3.25 X L X D2 grams where, L = Spindle lift (inch) D = Ring diameter (inch)
Yarn Breakage Calculation : 125 b = ------n
30 - -------c1/2
Where, b = end breaks per 100 spindle hrs c = yarn count n = no of sides assigned for a tenter [ one side = 220 spindles] Conversion Factor Calculation : “x” count conv. factor =
K = % card waste t = % trash in cotton and C = % comber noil extraction. WINDING : Production Calculation : 0.2835 X S X E X N Prodn / winder/shift( Kg) = ----------------------------C Where, S = Winding speed(m/min) E = Efficiency% N = No of drums / winder C = Count(Ne) Package Length Calculation : Package length in meter = 1.693 X Count X Package Wt(gm) Explanation : LXw L X 1lb L X 453.6 Ne =------------- = ---------------------------------- = -----------------------lXW 840yds X W (gm)/453.6 lb 840yds X W (gm) Ne X 840 X W(gm) L = ------------------------- yds = 453.6
Ne X 840 X W(gm) X36 --------------------------------- meters 453.6 X 39.37
L = 1.693 X Ne X W (gm) meters ROTOR : rpm X no of rotor heads X 60 X 8 X Effi Prodn/shift/frame( Kg ) = ---------------------------------------------------TPI X 36 X 840 X count X 2.2046 Rotor rpm Take-up Speed (m/min) = ----------------TPM Rotor rpm X take-up tension(%) Winding speed = ------------------------------------------- m/min
Ne X sliver (gr/yd) Draft = ---------------------------8.33 Spinning Breaks Calculation : spg.breaks[ per100kg]X Rn[rpm] X 60 [min] Spg breaks( per1000 Rhr) = ----------------------------------------------------------100 X Nm yarn X Yarn twist[T PM] Clearer breaks[ per100kg]X Rn[rpm] X 60 [min] Clearer breaks( per1000Rhr) = ------------------------------------------------------------100 X Nm yarn X Yarn twist[T PM]
Process Stock : The total process stock in Spinning increases with count to the extent of 5 days production for 20’s Ne, 7 days production for 40’s Ne, 10 days production for 60’s Ne, 12 days production for 80’s Ne and 15 days production for 100’s Ne