Tabel 1. Hasil Pengukuran Berat Produk
Diameter Berat Partikel (gram)150gram
Screen D avg 2cm 3cm 4cm 5cm> 0.425 0.601 81.34 79.35 66.72 77.070.25 - 0.425 0.3375 17.37 16.43 21.3 18.450.106 - 0.25 0.178 15.45 15.61 23.81 15.04< 0.106 0.053 28.06 28.55 40.68 30.24jumlah 1.1695 142.22 139.94 152.51 140.8
Tabel 2. Tabel Perhitungan Fraksi Berat
Diameter Berat Partikel150 gram
Screen D avg 2cm 3cm 4cm 5cm> 0.425 0.601 0.57193081142 0.56702872659711 0.43747950954036 0.547372159090.25 - 0.425 0.3375 0.12213472086 0.11740746034015 0.13966297291981 0.131036931820.15 - 0.25 0.178 0.10863450991 0.11154780620266 0.15612091010426 0.10681818182< 0.15 0.053 0.19729995781 0.20401600686008 0.26673660743558 0.21477272727jumlah 1.1695 1 1 1 1
untuk massa feed 150 gramTabel 3. Perhitungan TAAD untuk Massa Feed 150 gram
Diameter Feed 2 cm Diameter Feed 3 cm
Xi Xi/Di2 Xi/Di3 Xi Xi/Di2> 0.425 0.571930811419 1.5834142525 2.63463269967494 0.56702872659711 1.569842626670.25 - 0.425 0.122134720855 1.07223897596 3.17700437320362 0.11740746034015 1.030737649080.15 - 0.25 0.108634509914 3.42868671614 19.2622849221415 0.11154780620266 3.5206352166< 0.15 0.197299957812 70.238504027 1325.25479296225 0.20401600686008 72.6294079246jumlah 1 76.3228439716 1350.32871495727 1 78.7506234169TAAD 0.0565216773709922 0.0564192547212871
untuk massa feed 350 gramTabel 4. Perhitungan TAAD untuk Massa Feed 350 gram
Diameter Feed 2 cm Diameter Feed 3 cm
Xi Xi/Di2 Xi/Di3 Xi Xi/Di2> 0.425 0.61274184799 1.69640130562 2.8226311241534 0.55122019635344 1.526076052820.25 - 0.425 0.111988427461 0.98316314917 2.91307599755443 0.11789621318373 1.035028483370.15 - 0.25 0.099391236212 3.13695354792 17.6233345388954 0.10639551192146 3.35802019699< 0.15 0.175878488337 62.612491398 1181.36776222687 0.22448807854137 79.917436291jumlah 1 68.4290094007 1204.72680388748 1 85.8365610242TAAD 0.0568004373937129 0.0560163837792273
Diameter Partikel (mm)
Diameter Partikel (mm)
Tabel 7. Perhitungan Reduction Ratio dan GrindabilityBerat D feed (mm) W (kg) d (mm) R t (jam)
150 gram
20 0.25 0.05652167737099 353.846540482613 0.0016666666730 0.25 0.05641925472129 531.733362097761 0.0022222222240 0.25 0.05606754057715 713.425265104279 0.0019444444450 0.25 1.1695 42.7533133817871 0.00277777778
250 gram
20 0.35 0.05680043739371 352.10996460062 0.0022222222230 0.35 0.05601638377923 535.557598973837 0.0033333333340 0.35 0.05656520846527 707.148459013655 0.0019444444450 0.35 0.05600275023412 892.813295614445 0.00333333333
350 gram
20 0.45 0.05650914792639 353.924996817389 0.0022222222230 0.45 0.05623274135045 533.497021122241 0.0033333333340 0.45 0.05760322238247 694.405596520464 0.0022222222250 0.45 0.05715618181938 874.796013456775 0.00472222222
Tabel 1. Hasil Pengukuran Berat Produk
Berat Partikel (gram)250 gram 350 gram
2cm 3cm 4cm 5cm 2cm 3cm147.83 143.98 103.24 155.58 203.32 196.5128.33 27.66 54.55 29.69 37.16 42.0326.79 29.86 54.99 29.04 32.98 37.93
49 55.65 59.17 61.29 58.36 80.03251.95 257.15 271.95 275.6 331.82 356.5
Tabel 2. Tabel Perhitungan Fraksi Berat
Berat Partikel250 gram 350 gram
2cm 3cm 4cm 5cm 2cm 3cm0.5867434015 0.55990666925919 0.379628608 0.5645137881 0.6127418479899 0.55122019635340.112442945 0.1075636787867 0.200588343 0.1077285922 0.1119884274607 0.1178962131837
0.1063306212 0.11611899669454 0.202206288 0.1053701016 0.0993912362124 0.10639551192150.1944830323 0.21641065525958 0.21757676 0.2223875181 0.1758784883371 0.2244880785414
1 1 1 1 1 1
Tabel 3. Perhitungan TAAD untuk Massa Feed 150 gram
Diameter Feed 3 cm Diameter Feed 4 cm Diameter Feed 5cm
Xi/Di3 Xi Xi/Di2 Xi/Di3 Xi Xi/Di22.6120509595 0.43747950954036 1.211180228 2.0152749218 0.5473721590909 1.5154226015183.0540374787 0.13966297291981 1.226122122 3.6329544345 0.1310369318182 1.150392817059519.778849531 0.15612091010426 4.92743688 27.682229663 0.1068181818182 3.37136036542681370.3661873 0.26673660743558 94.95785242 1791.6575927 0.2147727272727 76.4587850739511395.8111252 1 102.3225916 1824.9880518 1 0.7311383220485
0.0564192547212871 0.0560675405771526 1.1695
Tabel 4. Perhitungan TAAD untuk Massa Feed 350 gram
Diameter Feed 3 cm Diameter Feed 4 cm Diameter Feed 5 cm
Xi/Di3 Xi Xi/Di2 Xi/Di3 Xi Xi/Di22.5392280413 0.5183913379737 1.435187992 2.387999987 0.5612917345524 1.5539595254513.0667510618 0.16692962103635 1.465500102 4.3422225256 0.1557765727209 1.367585823612518.865282006 0.11028615622583 3.480815434 19.55514289 0.1085523916057 3.42609492506221507.8761564 0.20439288476411 72.76357592 1372.8976589 0.174379301121 62.0787828839541532.3474175 1 79.14507945 1399.1830243 1 68.42642315808
0.0560163837792273 0.0565652084652674 0.0571561818193752
Tabel 7. Perhitungan Reduction Ratio dan GrindabilityQ (kg/jam) E penggerusan
150 2979.820384112.5 3692.386128
128.57142857 4372.5625290 5603.357896
157.5 4307.783816105 5570.968544180 6218.755584105 6898.931976
202.5 5538.579192135 6218.755584
202.5 8097.33895.294117647 10008.309768
Berat Partikel (gram)350 gram
4cm 5cm167.57 230.8253.96 64.0635.65 44.6466.07 71.71
323.25 411.23
Berat Partikel350 gram
4cm 5cm0.51839133797 0.561291734550.16692962104 0.155776572720.11028615623 0.108552391610.20439288476 0.17437930112
1 1
Tabel 5. Perhitungan TAAD untuk Massa Feed 250 gram
Diameter Feed 5cm Diameter Feed 2 cm Diameter Feed 3 cm
Xi/Di3 Xi Xi/Di2 Xi/Di3 Xi2.52150183281 > 0.425 0.586743401 1.624424 2.702867761 0.559906669263.40857130981 0.25 - 0.425 0.112442945 0.987153 2.924899043 0.1075636787918.9402267721 0.105 - 0.25 0.106330621 3.355972 18.85377604 0.11611899669
1442.6185863 < 0.15 0.194483032 69.23568 1306.333633 0.216410655260.62517171616 jumlah 1 75.20323 1330.815176 1
1.1695 TAAD 0.0565091479263874 0.0562327413504452
Diameter Feed 5 cm
Xi/Di32.585623170474.0521061440419.24772429811171.297790261197.18324388
0.0571561818193752
Diameter Partikel (mm)
Tabel 5. Perhitungan TAAD untuk Massa Feed 250 gram
Diameter Feed 3 cm Diameter Feed 4 cm Diameter Feed 5 cm
Xi/Di2 Xi/Di3 Xi Xi/Di2 Xi/Di3 Xi1.55012491455 2.57924278627 0.3796286082 1.051017600173 1.74878136468 0.56451378810.94431761898 2.7979781303 0.20058834345 1.760995059055 5.217763137941 0.10772859223.66490962929 20.5893799399 0.20220628792 6.381968435822 35.85375525743 0.105370101677.0418851049 1453.62047368 0.21757676043 77.457016886402 1461.4531488 0.222387518183.2012372677 1479.58707453 1 86.65099798145 1504.27344856 1
0.0562327413504452 0.05760322238247 0.056002750234123
Diameter Feed 5 cm
Xi/Di2 Xi/Di31.5628799148 2.60046574838710.9457654182 2.80226790566623.3256565332 18.68346366941679.16963978 1493.7667883033
85.003941646 1517.85298562680.056002750234123
Tabel 8. Perhitungan Energi per Variabel
Detik150 gram
2 cm 3 cm 4 cmI (A) V.i.cosΦ I (A) I (A)
0 1.8 583.008336 1.9 615.397688 1.9 615.3976881 1.8 583.008336 1.9 615.397688 1.9 615.3976882 1.8 583.008336 1.8 583.008336 1.9 615.3976883 1.8 583.008336 1.8 583.008336 1.9 615.3976884 1.9 615.397688 1.9 615.397688 1.9 615.3976885 1.8 583.008336 1.9 615.397688 1.9 615.3976886 1.9 615.397688 1.9 615.3976887 1.9 615.39768889
10111213141516
Total 3530.439368 4243.005112 4923.181504
V.i.cosΦ V.i.cosΦ
Tabel 8. Perhitungan Energi per Variabel150 gram 250 gram
5 cm 2 cm 3 cm 4 cmI (A) I (A) I (A) I (A)1.9 615.397688 1.9 615.397688 1.9 615.397688 1.91.9 615.397688 1.9 615.397688 1.9 615.397688 1.91.9 615.397688 1.9 615.397688 1.9 615.397688 1.91.9 615.397688 1.9 615.397688 1.9 615.397688 1.91.9 615.397688 1.9 615.397688 1.9 615.397688 1.91.9 615.397688 1.9 615.397688 1.9 615.397688 1.91.9 615.397688 1.8 583.008336 1.9 615.397688 1.91.9 615.397688 1.8 583.008336 1.8 583.008336 1.91.9 615.397688 1.9 615.397688 1.91.9 615.397688 1.9 615.397688 1.9
1.9
6153.97688 4858.4028 6121.587528
V.i.cosΦ V.i.cosΦ V.i.cosΦ
Tabel 8. Perhitungan Energi per Variabel250 gram 350 gram
4 cm 5 cm 2 cm 3 cmI (A) I (A) I (A)
615.397688 1.9 615.397688 1.9 615.397688 1.9615.397688 1.9 615.397688 1.9 615.397688 1.9615.397688 1.9 615.397688 1.9 615.397688 1.9615.397688 2 647.78704 1.9 615.397688 1.9615.397688 2 647.78704 1.9 615.397688 1.9615.397688 1.9 615.397688 1.9 615.397688 1.9615.397688 1.9 615.397688 1.9 615.397688 1.9615.397688 1.9 615.397688 1.9 615.397688 1.9615.397688 1.9 615.397688 1.8 583.008336 1.9615.397688 1.9 615.397688 1.8 583.008336 1.9615.397688 1.9 615.397688 1.9
1.9 615.397688
6769.374568 7449.55096 6089.198176
V.i.cosΦ V.i.cosΦ V.i.cosΦ
350 gram3 cm 4 cm 5 cm
I (A) I (A)615.397688 1.9 615.397688 1.9 615.397688615.397688 1.9 615.397688 1.9 615.397688615.397688 2 647.78704 1.9 615.397688615.397688 1.9 615.397688 2 647.78704615.397688 1.9 615.397688 1.9 615.397688615.397688 1.9 615.397688 1.9 615.397688615.397688 1.9 615.397688 1.9 615.397688615.397688 1.9 615.397688 1.9 615.397688615.397688 1.9 615.397688 1.9 615.397688615.397688 1.9 615.397688 1.9 615.397688615.397688 1.9 615.397688 1.9 615.397688
1.9 615.397688 1.9 615.3976881.9 615.397688 1.9 615.3976881.9 615.397688 1.9 615.397688
2 647.787042 647.78704
1.9 615.397688
6769.374568 8647.956984 10558.928752
V.i.cosΦ V.i.cosΦ V.i.cosΦ
Tabel 9. Perhitungan Energi PenggerusanVariabel D feed E total (joule) E kosong (joule)
150 gram
2 cm 3530.439368 550.6189843 cm 4243.005112 550.6189844 cm 4923.181504 550.6189845 cm 6153.97688 550.618984
250 gram
2 cm 4858.4028 550.6189843 cm 6121.587528 550.6189844 cm 6769.374568 550.6189845 cm 7449.55096 550.618984
350 gram
2 cm 6089.198176 550.6189843 cm 6769.374568 550.6189844 cm 8647.956984 550.6189845 cm 10558.928752 550.618984
Tabel 9. Perhitungan Energi PenggerusanE penggerusan (joule)
2979.8203843692.3861284372.56252
5603.3578964307.7838165570.9685446218.7555846898.9319765538.5791926218.755584
8097.33810008.309768
HUKUM KICK ( E = C log Di/di)Tabel 10. Perhitungan Konstanta Kick
Berat Di (mm) di (mm) Di/di log Di/di (X)
150 gram
20 0.0565216773709922 353.84654048261 2.5488149539142730 0.0564192547212871 531.73336209776 2.7256939097413340 0.0560675405771526 713.42526510428 2.8533484852954150 1.1695 42.753313381787 1.63096977819085
250 gram
20 0.0565091479263874 353.92499681739 2.5489112368293330 0.0562327413504452 533.49702112224 2.7271319988049440 0.05760322238247 694.40559652046 2.84161321235350 0.056002750234123 892.81329561445 2.95076064907669
350 gram
20 0.0568004373937129 352.10996460062 2.5466783156405630 0.0560163837792273 535.55759897384 2.7288061858518740 0.0565652084652674 707.14845901365 2.8495105993159950 0.0571561818193752 874.79601345678 2.94190679524161
untuk 150 gr untuk 250 gry=4539x-8617 y=6577x-12432
HUKUM RITTINGERTabel 11. Perhitungan Konstanta Rittinger
Berat Di (mm) di (mm) 1/Di 1/di
150 gram
20 0.0565216773709922 0.05 17.692327024130730 0.0564192547212871 0.0333333333333 17.724445403258740 0.0560675405771526 0.025 17.83563162760750 1.1695 0.02 0.855066267635742
250 gram
20 0.0565091479263874 0.05 17.696249840869430 0.0562327413504452 0.0333333333333 17.78323403740840 0.05760322238247 0.025 17.360139913011650 0.056002750234123 0.02 17.8562659122889
350 gram
20 0.0568004373937129 0.05 17.60549823003130 0.0560163837792273 0.0333333333333 17.851919965794640 0.0565652084652674 0.025 17.678711475341450 0.0571561818193752 0.02 17.4959202691355
untuk 150 untuk 250 gramy=7789x-13430 y=-2619x+51407
KONSTANTA KICK & RITTINGERTabel 12. Konstanta Kick & Rittinger
Berat (gram) Konstanta Kick Konstanta Rittinger150 4539 7789250 6577 -2619350 8071 1136
100 150 200 250 300 350 400
-4000
-2000
0
2000
4000
6000
8000
10000
Gambar 3. Perbandingan konstanta Kick dan Rittinger terhadap berat Feed
konstanta Kick
konstanta Rittinger
Berat feed (gram)
Kons
tant
a
Tabel 10. Perhitungan Konstanta KickE penggerusan2979.8203843692.3861284372.56252
5603.3578964307.7838165570.9685446218.7555846898.9319765538.5791926218.755584
8097.33810008.309768
untuk 350 gry=8071x-15241
Tabel 11. Perhitungan Konstanta Rittinger(1/di)-(1/Di) (X) E penggerusan
17.6423270241307 2979.82038417.6911120699254 3692.38612817.810631627607 4372.56252
0.835066267635742 5603.35789617.6462498408694 4307.78381617.7499007040747 5570.96854417.3351399130116 6218.75558417.8362659122889 6898.93197617.555498230031 5538.579192
17.8185866324612 6218.75558417.6537114753414 8097.33817.4759202691355 10008.309768
1.8 2 2.2 2.4 2.6 2.8 30
500
1000
1500
2000
2500
3000
3500
4000
4500
5000
f(x) = 4539.55759005433 x − 8617.3691624365
Gambar 1. Hubungan antara Log Di/di VS Energi Penggerusan
massa 150 gr
Linear (massa 150 gr)
log Di/di
Ener
gi P
engg
erus
an
17 17.2 17.4 17.6 17.8 180
500
1000
1500
2000
2500
3000
3500
4000
4500
5000
f(x) = 7789.53924566316 x − 134307.685176231
Gambar 2. Hubungan antara (1/di)-(1/Di) VS Energi Penggerusan
massa 150 gr
Linear (massa 150 gr)
(1/di)-(1/Di)
Ener
gi P
engg
erus
an
untuk 350 gramy=1136x+13470
17 17.2 17.4 17.6 17.8 180
500
1000
1500
2000
2500
3000
3500
4000
4500
5000
f(x) = 7789.53924566316 x − 134307.685176231
Gambar 2. Hubungan antara (1/di)-(1/Di) VS Energi Penggerusan
massa 150 gr
Linear (massa 150 gr)
(1/di)-(1/Di)
Ener
gi P
engg
erus
an
1.8 2 2.2 2.4 2.6 2.8 30
500
1000
1500
2000
2500
3000
3500
4000
4500
5000
f(x) = 4539.55759005433 x − 8617.3691624365
Gambar 1. Hubungan antara Log Di/di VS Energi Penggerusan
massa 150 gr
Linear (massa 150 gr)
log Di/di
Ener
gi P
engg
erus
an
17 17.2 17.4 17.6 17.8 180
500
1000
1500
2000
2500
3000
3500
4000
4500
5000
f(x) = 7789.53924566316 x − 134307.685176231
Gambar 2. Hubungan antara (1/di)-(1/Di) VS Energi Penggerusan
massa 150 gr
Linear (massa 150 gr)
(1/di)-(1/Di)
Ener
gi P
engg
erus
an
1.8 2 2.2 2.4 2.6 2.8 30
1000
2000
3000
4000
5000
6000
7000
f(x) = 6577.37430908556 x − 12431.7856756581
Gambar 1. Hubungan antara Log Di/di VS Energi Penggerusan
massa 250 gr
Linear (massa 250 gr)
log Di/di
Ener
gi P
engg
erus
an
17 17.2 17.4 17.6 17.8 180
1000
2000
3000
4000
5000
6000
7000
f(x) = − 2619.36733355343 x + 51406.7092085623
Gambar 2. Hubungan antara (1/di)-(1/Di) VS Energi Penggerusan
massa 250 gr
Linear (massa 250 gr)
(1/di)-(1/Di)
Ener
gi P
engg
erus
an
17 17.2 17.4 17.6 17.8 180
500
1000
1500
2000
2500
3000
3500
4000
4500
5000
f(x) = 7789.53924566316 x − 134307.685176231
Gambar 2. Hubungan antara (1/di)-(1/Di) VS Energi Penggerusan
massa 150 gr
Linear (massa 150 gr)
(1/di)-(1/Di)
Ener
gi P
engg
erus
an
17 17.2 17.4 17.6 17.8 180
1000
2000
3000
4000
5000
6000
7000
f(x) = − 2619.36733355343 x + 51406.7092085623
Gambar 2. Hubungan antara (1/di)-(1/Di) VS Energi Penggerusan
massa 250 gr
Linear (massa 250 gr)
(1/di)-(1/Di)
Ener
gi P
engg
erus
an
1.8 2 2.2 2.4 2.6 2.8 30
1000
2000
3000
4000
5000
6000
7000
f(x) = 6577.37430908556 x − 12431.7856756581
Gambar 1. Hubungan antara Log Di/di VS Energi Penggerusan
massa 250 gr
Linear (massa 250 gr)
log Di/di
Ener
gi P
engg
erus
an
1.8 2 2.2 2.4 2.6 2.8 30
1000
2000
3000
4000
5000
6000
7000
8000
9000
f(x) = 8071.18786864707 x − 15241.2297048206
Gambar 1. Hubungan antara Log Di/di VS Energi Penggerusan
massa 350 gr
Linear (massa 350 gr)
log Di/diEn
ergi
Pen
gger
usan
17 17.2 17.4 17.6 17.8 180
1000
2000
3000
4000
5000
6000
7000
f(x) = − 2619.36733355343 x + 51406.7092085623
Gambar 2. Hubungan antara (1/di)-(1/Di) VS Energi Penggerusan
massa 250 gr
Linear (massa 250 gr)
(1/di)-(1/Di)
Ener
gi P
engg
erus
an
17 17.2 17.4 17.6 17.8 180
1000
2000
3000
4000
5000
6000
7000
8000
9000
f(x) = 1136.48702565693 x − 13470.2432537086
Gambar 2. Hubungan antara (1/di)-(1/Di) VS Energi Penggerusan
massa 350 gr
Linear (massa 350 gr)
(1/di)-(1/Di)
Ener
gi P
engg
erus
an
17 17.2 17.4 17.6 17.8 180
1000
2000
3000
4000
5000
6000
7000
f(x) = − 2619.36733355343 x + 51406.7092085623
Gambar 2. Hubungan antara (1/di)-(1/Di) VS Energi Penggerusan
massa 250 gr
Linear (massa 250 gr)
(1/di)-(1/Di)
Ener
gi P
engg
erus
an
17 17.2 17.4 17.6 17.8 180
1000
2000
3000
4000
5000
6000
7000
8000
9000
f(x) = 1136.48702565693 x − 13470.2432537086
Gambar 2. Hubungan antara (1/di)-(1/Di) VS Energi Penggerusan
massa 350 gr
Linear (massa 350 gr)
(1/di)-(1/Di)
Ener
gi P
engg
erus
an
1.8 2 2.2 2.4 2.6 2.8 30
1000
2000
3000
4000
5000
6000
7000
8000
9000
f(x) = 8071.18786864707 x − 15241.2297048206
Gambar 1. Hubungan antara Log Di/di VS Energi Penggerusan
massa 350 gr
Linear (massa 350 gr)
log Di/di
Ener
gi P
engg
erus
an
17 17.2 17.4 17.6 17.8 180
1000
2000
3000
4000
5000
6000
7000
8000
9000
f(x) = 1136.48702565693 x − 13470.2432537086
Gambar 2. Hubungan antara (1/di)-(1/Di) VS Energi Penggerusan
massa 350 gr
Linear (massa 350 gr)
(1/di)-(1/Di)
Ener
gi P
engg
erus
an