SPINNING CALCULATIONS

SPINNING CALCULATIONS  

Conversion of Weight units

Ø  1kg = 2.2046 lbs

Ø  1kg = 1000 grams

Ø  1gm = 15.432 grains

Ø  1lbs = 453.6 grams

Ø  1lbs = 16 oz

Ø  1lbs = 7000 grains

Ø  1grain = 0.0029 oz

Ø  1oz = 437.50 grains

Ø  1penny = 24 grains

Ø  1ton = 2204.6 lbs

Ø  1bundle = 10 lbs

Ø  1bag = 100 lbs

Ø  1mund = 40 kg

Ø  1mund = 88.18 lbs

Conversion of length units

Ø  1m = 1.0936 yards

Ø  1m = 39.37 inches

Ø  1m = 100 cm

Ø  1m = 1000 mm

Ø  1cm = 10 mm

Ø  1yard = 36 inches

Ø  1yard = 0.9144 meter

Ø  1yard = 91.44 cm

Ø  1ft = 12 cm

Ø  1ft = 30.48 mm

Ø  1hank = 840 yards

Moisture Relation for Textile Materials

Ø  M.R =  w/D*100

Ø  M.C = w/w+D*100        =      w/W*100

Ø  M = R/(1+R/100)

Ø  C.C.W  = D * (100+R/100)

Ø  D = C.C.W *(100/100+R%)

Ø  C.C.W = D+R%

Ø  C.C.W = D+(D*R/100)

Ø  Dm) ²

Ø  Volume of air = area (feet sq) * liner speed (ft/min)

Ø  Pm = CA + CB/WA + WB  =  PAWA + PAWB/WA + WB

Blow Room & Carding Section

Ø  Cleaning Efficiency = trash removed/total trash fed *100

Ø  Efficiency = tr/tf * 100        =           tf-tr/tf * 100

Ø  Waste = trash + lint

Ø  Waste Extracted = weight fed * waste%

Ø  Waste Extracted = weight fed – weight delivered

Ø  Weight Delivered = weight fed - waste extracted

Ø  Weight Delivered = weight fed * (100 – w/100)

Ø  Weight Fed = weight delivered * (100/100 – w)

Ø  Lap length (directly proportional) lap change wheel

Ø  Lap length = lap length constant * lap length constant wheel

Ø  Beats/min = rpm of beater * number of strikers

Ø  Beats/inch = beats per minute/feeding rate (inches/min)

Ø  Beats Constant = beats/inch * rpm of paddle roller

Ø  Beats Constant = beat per minute/feeding rate

Ø  Efficiency = actual production/calculated production * 100

Ø  Actual production = calculated production * efficiency

Ø  Actual production = weight of lap(lbs) * number of lap/hr

Ø  M.D = s.s of shell roller/s.s of paddle roller

Ø  Production of B/R (lbs/hr) = production constant * N(shell roller rpm) * W(oz/yd)

Ø  Production of card (lbs/hr) = πDN * 36 * 60 * 1 *ŋ

Ø                                                 36      *    840 * count

Ø  Production of card (lbs/hr) = πDN * 36 * 60 * (weight in ozs) * ŋ/36 * 16                                                                      

Ø  No of scutchers required = feeding rate of cards/production of one scutchers

Ø  No of card required = production of blow room/feeding rate of card deptt

Ø  Production of card (lbs/hr) = delivery rate(m/min) * grain/yds * 1.0936 * 60 * ŋ

Ø                                                                                    7000

Ø  Time to complete full card can = sliver length(yds)/delivery rate(yds/min)

Ø  No. of scutchers required = production of blow room/production of one scutchers

Ø  No. of card required = production of card section/production of one card

Ø  Tension Draft = s.speed of C.C.R/s.speed of Doffer

Ø  Total Lap weight = lap length * weight/yd

Ø  D(Trumpet guide) = 0.015625 * count *

Ø  Waste% age = input – output  *  100

Ø                                       Input

Draw frame Section

Ø  Actual Draft  =       weight/yd fed        * No. of doublings

Ø                            weight/yd delivered

Ø  Production(lbs/hr) = delivery rate(m/min) * 1.0936 * 60 * No. of deliveries/7000

Ø  Production(lbs/hr)(only for two deliveries)= delivery rate(m/min) * 0.45 *grains/yd * ŋ

Ø  Production(lbs/hr)  =                       πDN                         * 60 * tension draft * ŋ

Ø                                     36 * 840 * hank sliver

Ø  No. of Deliveries Required= feeding rate of simplex/production of finisher draw frame

Unilap Section

Ø  Production(lbs/hr)  = delivery rate(yd/min) * lap weight(grains/yd) *60 *1.0936 * ŋ

Ø                                                                                    7000

Ø  Note = 1 penny = 24 grains/yd

Comber Section

Ø  Production(lbs/hr)  =      L      *       F * N * H * (100 – W) * 60 * ŋ

Ø                                    7000 *      36          *          100

Ø  Note

Ø  L = lap weight in grain/yd

Ø  F = feed rate in inches/min

Ø  N = nips/min

Ø  W = noil %age extracted

Ø  H = no of comber heads

Simplex Section

Ø  Feeding Rate = π * D(dia of back roller) * Rpm(back roller)

Ø  Delivery Rate = π * D(dia of front roller) * Rpm(front roller)

Ø  TPI = TM

Ø  TPI =                 spindle speed________________                                    

Ø            Delivery rate or F.R delivery in inches/min

Ø  Production(lbs/hr) = front roll delivery * 60    *     1     *       ŋ

Ø                                            36                *                 840 * count

Ø  Production(lbs/hr) = flyer rpm     *     60    *    No. of spindles * ŋ

Ø                                           TPI * Hank roving * 36 * 840

Ø  Production(lbs/hr) = 5.7  *  flyer rpm     *   ŋ                                  (for 120 spindles m/c) 

Ø                                                TPI * Hank roving

Ø  TPI =                           flyer speed______________                                    

Ø            Delivery rate or F.R delivery in inches/min

Ø  CPM = front roll delivery(inches/min)

Ø                   Bobbin circumference

Ø  CPI                      CPM_______________                               

Ø             Liner speed of bobbin rail(m/min)   

Ø  CPI CPM

Ø  TCP(NEW) = TCP(old)  *   /

Ø  L.W = L.W(old)  *   / 

Ø  B.W = B.W(old)  *  / 

Ø  Roving Tension winding rate/delivery rate     =         (b – f)πD/l

Ø  Roving Tension = (b – f)πD/front roll delivery(inches per min)

Ø  Lifter Constant = CPI * lifter wheel

Ø  Turns per meter(TPM) = flyer rpm/delivery speed( meter per min)

Ø   Draft = count deliver/count fed

Ø  New DCP = old DCP  *  old draft/new draft              

Ø  New DCP = old DCP  *  old count/new count 

Ø  No. of Simplex required = production of finisher draw frame/feeding rate of one simplex

Ø  No. of Simplex required = total feeding rate of ring section/production of one simplex m/c

Ring Frame Sestion

Ø  Production(OPS) = spindle speed     *    1    *        1      * 60 * 8 * 16 * ŋ

Ø                                             TPI                36 * 840 * count

Ø  Production(OPS) =               πDN     *      60 *8 *16 * ŋ

Ø                                       36 * 840 * count

Ø  OPS from bags/day = total bags/total frame * No. of spindle per frame

Ø  No. of ring frame required = total production of simplex section/feeding rate of one ring frame

Ø  Traveler speed = spindle speed – winding speed

Ø  Winding speed = front roll delivery(inches per min)/bobbin circumference

Ø  Traveler angle = bare bobbin dia/full bobbin dia

Ø  Linear speed of traveler(m/sec) =  πDN/1000 * 60    (where D is ring dia & N is spindle speed)

Auto Cone Section

Ø  Cone Length(meters) = count * cone weight(lbs) * 840/1.0936

Ø  Production(lbs/hr) = delivery rate(m per min) * No. of spindles * 60 * 1.0936 * ŋ /840

Ø  Production per spindle(lbs/hr) = π * Dia of Drum * Drum RPM * 60 * ŋ

Ø                                                                         36 * 840 * count

Open End

Ø  Production/Rotor(gm/hr) = 0.0006 * N * tex½  * ŋ/T.F              (where N is Rotor Speed)

Ø  Production/Rotor(lbs/hr) = 0.0019 * N * ŋ/T.M * (count)½

Ø  T.F = T.M * 9.61

Some Other Relations

Ø  A.D = M.D * 100/(100 – W%)

Ø  A.D = count delivered/ count fed

Ø  A.D = weight fed/weight delivered

Ø  Waste% = (A.D – M.D) * 100/A.D

Ø  M.D = A.D  *  (100 – W%)/100

Ø  M.D = s.s of delivery roll   *   Driver gear

Ø                 s.s of feed roll      *   Driven gear

Ø  M.D = s.s of delivery roll

Ø                 s.s of feed roll  

Ø  Condensation Factor = s.s of cylinder

Ø                                              s.s of doffer

Ø  Density = mass/volume

Ø  590.5 = tex * count

Ø  Yarn Diameter = k/                                                                                (Where k is Constant)