Water Rocket Simulator 5.3
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1
INPUTS
FLIGHT SUMMARY
init pressure
790559.6438
Pa (internal+ambient)
for init fill height calc:
Constants
2
bottle type0
see tables on bottle sheet
apogee115.8m (380')380.053116init air vol0.001493414062m^3cone index3Cc0.9
3
nozzle dia21.75mm
time to apogee
4.2s (approx)2L generic0.042kginit height0.119597668mh_bottom0.096Cv0.97
4
initial pressure100lb/in^2689476Pa
empty excess pressure:
max velocity77.4m/sheght (m)r (m)vol (m^3)
cum vol (m^3)
volume fill0.0006m^3h_top0.2646g9.81m/s/s
5
volume fill0.6liters28.66%57.02lb/in^2
final (terminal)
-17.9m/s
height of bottle
0.2980.0150.00014035154190.002093414062
air thrust pressure
494197.0697
Pa (internal+ambient) ideal gas R3*(1-D5)
v_bottom0.000379802713R_air287.058
ideal gas constant / air molecular weight
6
ballast100g0.1kg393113Pawater thrust0.053s (approx)
top of cylinder
0.26460.05450.0015732598070.00195306252
air thrust mass
0.01199861231kgv_top0.00195306252
celsius air temp
23.88888889C
7
air temperature
75°F297.0388889Kair thrust0.069s (approx)
bottom of cylinder
0.0960.05450.00027153924130.000379802713
air thrust density
5.731600132
sat. vapor pressure
2964.626273
Pa (from Arden Buck equation)
8
ambient pressure
29.85" Hg101083.6438PaG range185.1-4.7
transition to neck
0.06050.0440.000096953738080.0001082634716
final air mass
0.002454210125
atm vapor pressure
592.9252547Pa
9
relative humidity
20%
Lauch tube calcs:
neck-shoulder
0.0250.0120.0000045238934210.00001130973355
air thrust temp
263.6594673choke p187678.0154Parho_air1.172348161kg/m^3
for saturated humid air
10
launch tube ht200mm
launch tube vol
0.00003229915618m^3avg force244.0937951Nflange0.0150.0120.0000067858401320.000006785840132
final density
1.997764983kg/m^3sqrt(RT)275.1100859
m/s at final temp
rho_atm1.182861692kg/m^3
atmospheric air density
11
tube outer dia21.336mmexit pressure777042.0707Paaccel319.1573788m/s^200.012final temp176.2653052v_sound318.5
m/s at final temp
rho_water1000kg/m^3
12
tube inner dia15.7988mmavg pressure783800.8572Pa
time to clear
0.03540197988sxc area0.009331315579m^2Cvair0.5687628552lb/in^2 to Pa6894.76
13
drag coeff0.2tube xc area0.0003575327973m^2gap area0.00001400962142m^2
empty weight:
0.142g
nozzle area
0.0003715424187m^2choke const0.4548054206for air at k=1.34
14
time inc thrust0.5msLauncher vol1litersfull weight:0.742kgtime incs0.00050.02choke ratio0.5386014101
15
time inc coast20ms
16
<-- before time inc
after time inc -->
22.36986096
17
time before interval (s)water height (m)total mass (kg)pressure (Pa)air temp (K)speed of sound (m/s)Cv (air)outlet v (m/s)volume flow (m^3/s)mass flow (kg/s)Net force (N)accel (m/s/s)time inc (s)time after interval (s)velocity (m/s)altitude (m)drag (N)water left (m^3)air left (kg)air density (kg/m^3)G-forceimpulse
(N s)
indexh_bottomh_topv1v2water height (m)
18
-0.00150.1195976680.742790559.643800-7.2790200.0005-0.0010000.00060.011998612318.03435071
19
-0.0010.1195976680.742790559.643800-7.2790200.0005-0.00050000.00060.011998612318.03435071
20
-0.00050.1195976680.742790559.643800-7.2790200.000500000.00060.011998612318.0343507130.0960.26460.0003798027130.001953062520.119597668
21
00.1195976680.742783800.8572296.3924735337.6531550.602965690836.861555660.00046477479590.4647747959236.8147751319.15737880.035401979880.0354019798811.29880310.2-0.14090997080.0005835460520.011998612317.94679550533.533881630.60651811930.0960.26460.0003798027130.001953062520.1178343638
22
0.035401979880.11783436380.725546052777042.0707295.7418849337.28237310.602303565236.673751190.012263268812.2632688442.481552609.86005050.00050.0359019798811.603733130.2057256341-0.14861830640.00057741441760.011998612317.91465377963.16718150.224870034430.0960.26460.0003798027130.001953062520.1171772609
23
0.035901979880.11717726090.7194144176774817.3986295.5268184337.15971310.602084524637.476285970.0125316269412.53162694462.432761642.79051080.00050.0364019798811.925128380.2116078494-0.15696505280.00057114860420.011998612317.88207618666.524007220.234819417430.0960.26460.0003798027130.001953062520.1165057786
24
0.036401979880.11650577860.7131486042770546.8177295.1126721336.92338540.601662501237.454937080.0125244881212.52448812461.9509616647.76255460.00050.0369019798812.249009660.2176513839-0.16560704130.00056488636010.011998612317.84978401167.030841450.234551957330.0960.26460.0003798027130.001953062520.1158346788
25
0.036901979880.11583467880.7068863601766319.5704294.7010378336.68832660.60124274437.352069810.0124900905212.49009052459.4305709649.93554380.00050.0374019798812.573977430.2238571307-0.17451075490.00055864131480.011998612317.81784295967.252349010.233265366630.0960.26460.0003798027130.001953062520.1151654221
26
0.037401979880.11516542210.7006413148762144.0998294.2927785336.45503290.600826138737.241945350.012453266212.4532662456.7360573651.88285030.00050.0379019798812.899918860.2302256048-0.18367531830.00055241468170.011998612317.78625382267.45085120.231891929730.0960.26460.0003798027130.001953062520.1144981386
27
0.037901979880.11449813860.6944146817758020.3338293.8879329336.22353010.600412731537.132109060.0124165382512.41653825454.0563691653.86919530.00050.0384019798813.226853450.2367572979-0.19310340320.00054620641260.011998612317.75501098367.653332850.230526126230.0960.26460.0003798027130.001953062520.1138328231
28
0.038401979880.11383282310.6882064126753947.366293.4864579335.99379720.600002484837.0233180.012380159812.3801598451.410185655.92266610.00050.0389019798813.554814790.2434527149-0.20279816440.00054001633270.011998612317.72410831367.862657090.229177296630.0960.26460.0003798027130.001953062520.1131694568
29
0.038901979880.11316945680.6820163327749924.2287293.0883025335.76580860.599595353136.915635740.0123441521312.34415213448.7988451658.04706360.00050.0394019798813.883838320.2503123782-0.21276291860.00053384425660.011998612317.69353976568.079211380.227846111730.0960.26460.0003798027130.001953062520.1125080199
30
0.039401979880.11250801990.6758442566745949.9704292.6934164335.53953890.599191291136.809055170.0123085128512.30851285446.2219335660.24373080.00050.0399019798814.213960180.2573368278-0.22300111440.00052769000020.011998612317.66329943368.30313260.226532364330.0960.26460.0003798027130.001953062520.1118484927
31
0.039901979880.11184849270.6696900002742023.6628292.3017499335.31496340.598790254236.703562330.0122732372912.27323729443.6788698662.51380440.00050.0404019798814.545217090.2645266221-0.23351633130.00052155338160.011998612317.63338154868.534536640.225235764930.0960.26460.0003798027130.001953062520.1111908557
32
0.040401979880.11119085570.6635533816738144.4013291.9132546335.09205740.598392198836.599142910.0122383206712.23832067441.1690723664.85844920.00050.0409019798814.877646310.271882338-0.24431228410.00051543422120.011998612317.60378048268.773542230.223956023630.0960.26460.0003798027130.001953062520.1105350896
33
0.040901979880.11053508960.6574342212734311.3038291.5278829334.87079710.597997082236.495782980.0122037583312.20375833438.6919736667.27888420.00050.0414019798815.211285750.279404571-0.25539282610.00050933234210.011998612317.57449073769.020273620.222692857830.0960.26460.0003798027130.001953062520.1098811755
34
0.041401979880.10988117550.6513323421730523.5102291.1455886334.65115910.597604862636.3934690.0121695457512.16954575436.2470227669.77638690.00050.0419019798815.546173950.2870939359-0.26676195380.00050324756920.011998612317.54550694469.274861050.221445992930.0960.26460.0003798027130.001953062520.1092290946
35
0.041901979880.10922909460.6452475692726780.1818290.7663259334.43312030.597215498836.292187850.0121356785312.13567853433.8336842672.35229540.00050.0424019798815.882350090.2949510669-0.27842381120.00049717972990.011998612317.5168238669.537440920.220215162430.0960.26460.0003798027130.001953062520.1085788284
36
0.042401979880.10857882840.6391797299723080.5005290.3900503334.21665820.596828950736.191926830.0121021524312.10215243431.4514382675.0080110.00050.0429019798816.21985410.302976618-0.29038269450.00049112865370.011998612317.48843636269.808156070.219000107630.0960.26460.0003798027130.001953062520.1079303586
37
0.042901979880.10793035860.6331286537719423.6681290.0167181334.00175080.596445178736.092673620.0120689633312.06896333429.0997796677.74500020.00050.0434019798816.55872660.3111712632-0.30264305710.00048509417210.011998612317.46033944470.087155990.217800577230.0960.26460.0003798027130.001953062520.1072836672
38
0.043401979880.10728366720.6270941721715808.9059289.6462865333.78837630.596064144335.994416310.0120361072512.03610725426.7782181680.56479720.00050.0439019798816.8990090.3195356971-0.31520951480.00047907611840.011998612317.43252821570.374597070.216616327530.0960.26460.0003798027130.001953062520.1066387363
39
0.043901979880.10663873630.6210761184712235.4539289.2787136333.57651360.595685809435.897143370.0120035803212.00358032424.4862776683.46900640.00050.0444019798817.24074350.3280706352-0.32808685130.00047307432830.011998612317.40499789370.670642860.215447121930.0960.26460.0003798027130.001953062520.1059955483
40
0.044401979880.10599554830.6150743283708702.5703288.9139582333.36614170.595310136835.800843650.0119713788411.97137884422.223496686.45930520.00050.0449019798817.583973150.3367768144-0.34128002360.00046708863890.011998612317.37774380470.975464340.21429273130.0960.26460.0003798027130.001953062520.1053540857
41
0.044901979880.10535408570.6090886389705209.5308288.55198333.15724020.594937090135.70550640.0119394991911.93949919419.989425689.5374470.00050.0454019798817.928741880.3456549931-0.35479416890.00046111888930.011998612317.35076137971.289240260.213152932330.0960.26460.0003798027130.001953062520.1047143314
42
0.045401979880.10471433140.6031188893701755.6283288.1927395332.94978910.594566633335.611121220.011907937911.9079379417.7836294692.7052640.00050.0459019798818.275094510.3547059522-0.36863460990.00045516492030.011998612317.32404614771.612157390.212027509930.0960.26460.0003798027130.001953062520.1040762682
43
0.045901979880.10407626820.5971649203698340.1723287.8361979332.74376870.594198731435.517678090.0118766916211.87669162415.6056872695.96467090.00050.0464019798818.623076840.363930495-0.38280686260.00044922657450.011998612317.29759373971.94441090.210916254930.0960.26460.0003798027130.001953062520.1034398793
44
0.046401979880.10343987930.5912265745694962.4883287.4823173332.53915960.593833349835.425167370.0118457571311.84575713413.4551893699.3176680.00050.0469019798818.972735680.3733294482-0.39731664240.00044330369590.011998612317.27139987872.286204680.209818964430.0960.26460.0003798027130.001953062520.1028051479
45
0.046901979880.10280514790.5853036959691621.9173287.1310602332.33594290.593470454635.333579770.0118151313211.81513132411.3317391702.76634490.00050.0474019798819.324118850.3829036618-0.41216987250.00043739613030.011998612317.24546038172.637751770.208735442530.0960.26460.0003798027130.001953062520.1021720576
46
0.047401979880.10217205760.5793961303688317.8156286.7823902332.13410.593110012635.242906380.0117848112111.78481121409.2349522706.31288480.00050.0479019798819.677275290.3926540103-0.4273726910.00043150372470.011998612317.21977115472.99927470.207665499130.0960.26460.0003798027130.001953062520.1015405919
47
0.047901979880.10154059190.5735037247685049.5541286.4362713331.93361240.59275199135.153138640.0117547939411.75479394407.1644568709.95956830.00050.0484019798820.032255080.4025813929-0.44293145940.00042562632770.011998612317.19432819173.371005940.206608950530.0960.26460.0003798027130.001953062520.1009107347
48
0.048401979880.10091073470.5676263277681816.5178286.0926684331.73446240.592396357935.064268360.0117250767711.72507677405.1198926713.70877780.00050.0489019798820.389109470.4126867341-0.45885277150.00041976378930.011998612317.16912757173.753188360.205565619230.0960.26460.0003798027130.001953062520.1002824697
49
0.048901979880.10028246970.5617637893678618.1058285.7515467331.53663210.592043081634.976287710.0116956570811.69565708403.1009113717.56300250.00050.0494019798820.747890970.4229709842-0.47514346260.00041391596080.011998612317.14416545474.146075680.204535333430.0960.26460.0003798027130.001953062520.09965578117
50
0.049401979880.099655781170.5559159608675453.7303285.4128723331.34010430.591692131134.889189210.0116665323711.66653237401.1071763721.5248430.00050.0499019798821.108653390.4334351203-0.49181061890.00040808269460.011998612317.1194380874.549933020.203517927730.0960.26460.0003798027130.001953062520.09903065322
51
0.049901979880.099030653220.5500826946672322.8167285.0766119331.14486190.591343476134.802965770.0116377002711.63770027399.1383623725.5970170.00050.0504019798821.47145190.4440801466-0.5088615880.00040226384450.011998612317.09494176874.965037410.202513242130.0960.26460.0003798027130.001953062520.09840707018
52
0.050401979880.098407070180.5442638445669224.803284.7427328330.95088820.590997086634.717610630.0116091585211.60915852397.1941554729.78236470.00050.0509019798821.836343080.4549070953-0.52630398970.00039645926520.011998612317.07067291275.391678360.201521122730.0960.26460.0003798027130.001953062520.0977850165
53
0.050901979880.09778501650.5384592652666159.1394284.4112028330.75816660.590652933234.633117430.0115809049911.58090499395.2742531734.0838550.00050.0514019798822.203385010.4659170274-0.54414572740.00039066881270.011998612317.04662797975.830158510.200541421330.0960.26460.0003798027130.001953062520.09716447672
54
0.051401979880.097164476720.5326688127663125.2882284.0819901330.56668110.59031098734.549480140.0115529376711.55293767393.378364738.50459150.00050.0519019798822.57263730.4771110329-0.5623950.00038489234390.011998612317.02280350776.280794240.199573995430.0960.26460.0003798027130.001953062520.09654543551
55
0.051901979880.096545435510.5268923439660122.723283.7550639330.37641550.589971219434.466693140.0115252546811.52525468391.5062075743.04782010.00050.0524019798822.944161210.4884902326-0.58106031490.00037912971650.011998612316.99919610576.743916420.198618708240.06050.0960.00010826347160.0003798027130.09591201503
56
0.052401979880.095912015030.5211297165657150.9289283.4303936330.18735440.589633602634.384424370.0114977449811.49774498389.6499998747.70251520.00050.0529019798823.318012470.500055776-0.60015013010.0003733808440.011998612316.9758026777.218401140.197671671340.06050.0960.00010826347160.0003798027130.09516042946
57
0.052901979880.095160429460.515380844654209.4295283.1079522329.99948390.589298112134.30046740.0114696707611.46967076387.7590316752.37377590.00050.0534019798823.694199360.511808829-0.61967064110.00036764600870.011998612316.9526216477.69457450.196707533940.06050.0960.00010826347160.0003798027130.09441067906
58
0.053401979880.094410679060.5096460087651297.9447282.7877337329.81280280.588964745434.217018830.0114417665411.44176654385.8838432757.16053230.00050.0539019798824.072779630.5237505737-0.63963073560.00036192512540.011998612316.92965000278.182521130.195751570640.06050.0960.00010826347160.0003798027130.0936627527
59
0.053901979880.09366275270.5039251254648416.0129282.4697118329.62729760.588633478634.134324550.0114141145511.41411455384.0299543762.07740980.00050.0544019798824.453818330.5358822232-0.66003992620.00035621806810.011998612316.90688463378.683731880.194806545340.06050.0960.00010826347160.0003798027130.0929166339
60
0.054401979880.09291663390.4982180681645563.1615282.1538584329.44295390.588304285934.052407740.0113867225411.38672254382.1977596767.1294640.00050.0549019798824.837383060.5482050235-0.68090812260.00035052470680.011998612316.88432244979.198722120.193872659440.06050.0960.00010826347160.0003798027130.09217230566
61
0.054901979880.092172305660.4925247068642738.9251281.8401453329.25975720.587977141633.971266360.0113595898211.35958982380.387076772.32080080.00050.0554019798825.223543460.5607202552-0.70224561910.00034484491190.011998612316.86196042879.727910380.192949825840.06050.0960.00010826347160.0003798027130.09142975104
62
0.055401979880.091429751040.4868449119639942.8477281.5285451329.07769340.587652020333.890895740.0113327148411.33271484378.5976628777.65558080.00050.0559019798825.612371250.5734292338-0.7240631090.00033917855450.011998612316.83979560580.271720780.192037928540.06050.0960.00010826347160.0003798027130.09068895318
63
0.055901979880.090688953180.4811785545637174.4828281.2190307328.89674850.587328897133.811291220.0113060960311.30609603376.8292805783.13814480.00050.0564019798826.003940330.5863333117-0.74637170270.00033352550650.011998612316.8178250780.83059580.191136852640.06050.0960.00010826347160.0003798027130.08994989534
64
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