Projectile Motion 1


Overview

Model
Data


Sheet 1: Model

Bullet Type Sierra MatchKing


























































<excelunusual.com>
Mass (g) 19,44






























Bullet Diameter [mm] 8,59




























Bullet Diameter [in] 0,338





























































































Aerodynamic Coeff.- CX 0,25





Effect of temperature



























Temperature Speed of sound Density of air Acoustic impedance



















Muzzle Velocity [m/s] 1000




in °C c in m·s−1 ρ in kg·m−3 Z in N·s·m−3



























35 351,96 1,1455 403,2



















Initial Angle 5





30 349,08 1,1644 406,5



























25 346,18 1,1839 409,4



























20 343,26 1,2041 413,3



























15 340,31 1,225 416,9













































10 337,33 1,2466 420,5













































 +5 334,33 1,269 424,3













































 ±0 331,3 1,292 428













































 -5 328,24 1,3163 432,1













































-10 325,16 1,3413 436,1












































-15 322,04 1,3673 440,3












































-20 318,89 1,3943 444,6
Select










































-25 315,72 1,4224 449,1
5



































<excelunusual.com>


































































































Air Density [kg/m^3] 1,2















































Time step [s] 0,01581





Bullet type US military M193 Ball US military M118 Special Ball Palma Sierra MatchKing LRBT J40 Match Sierra MatchKing Sierra MatchKing LRBT J40 Match LRBT J40 Match








































Projectile weight grams 3,564 11,2104 10,044 12,312 14,256 19,44 22,68 27,1512




















































diam mm 5,56 7,62 7,62 7,62 7,62 8,59 9,53 10,36

































Time Drag_X Drag_Y v_x v_y x y
v_total X_corrected Y_corrected







diam inch 0,223 0,308 0,308 0,308 0,308 0,338 0,375 0,408
































Initial Conditions


996,194698091746 87,1557427476582 0 0





















































Active formulas 1,56532744178335 -0,205138553755364 0,080044005800414 148,103067991328 -57,944163099681 4208,4570514841 -116,909824193435
159,0347282381 3838,52642512901 0







Frontal Area [m3] 5,79530382205873E-05








































1,54951605348251 -0,205528625662402 0,079981200030565 148,269916002073 -57,8541566138276 4206,11533636754 -115,993646530899
159,157379435448 3838,52642512901 0


















































1,53370466518167 -0,205920025285759 0,079918336016963 148,437081275082 -57,7640990453396 4203,7709831523 -115,07889199586
159,280438962181 3838,52642512901 0


















































1,51789327688083 -0,206312758407947 0,079855413133407 148,604564890242 -57,6739903468451 4201,42398682201 -114,165561396006
159,403907946907 3838,52642512901 0


















































1,50208188857998 -0,206706830841554 0,079792430750217 148,772367932146 -57,5838304704624 4199,07434234326 -113,253655539773
159,52778752239 3838,52642512901 0


















































1,48627050027914 -0,207102248429442 0,079729388234225 148,940491490112 -57,493619367798 4196,72204466545 -112,343175236355
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1,4704591119783 -0,207499017044938 0,07966628494875 149,108936658214 -57,4033569899433 4194,36708872078 -111,43412129571
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1,45464772367746 -0,207897142592032 0,079603120253584 149,277704535299 -57,3130432874718 4192,00946942415 -110,52649452857
159,901901183819 3838,52642512901 0


















































1,43883633537662 -0,208296631005571 0,079539893504975 149,446796225019 -57,2226782104364 4189,64918167308 -109,620295746449
160,027434533887 3838,52642512901 0


















































1,42302494707577 -0,208697488251462 0,079476604055606 149,616212835852 -57,1322617083664 4187,28622034765 -108,715525761649
160,153384201697 3838,52642512901 0


















































1,40721355877493 -0,209099720326869 0,079413251254579 149,785955481127 -57,0417937302646 4184,9205803104 -107,812185387273
160,279751345453 3838,52642512901 0


















































1,39140217047409 -0,209503333260413 0,079349834447396 149,956025279054 -56,9512742246042 4182,55225640628 -106,910275437227
160,406537127694 3838,52642512901 0


















































1,37559078217325 -0,209908333112381 0,079286352975938 150,126423352742 -56,8607031393264 4180,18124346254 -106,009796726234
160,53374271531 3838,52642512901 0


















































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160,917890045198 3838,52642512901 0


















































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1,26491106406735 -0,212782681600586 0,078840116025612 151,328496972927 -56,2252568269841 4163,50842148835 -99,7465890544285
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162,093385393989 3838,52642512901 0


















































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162,226156668196 3838,52642512901 0


















































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162,359364556405 3838,52642512901 0


















































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170,556137071179 3838,52642512901 0


















































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0 -1,47631856363222 -0,050389631859158 410,7828129415 13,8657088412729 1962,35553295358 133,486923880097
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1,56532744178335 -1,48500671912017 -0,051245273034261 411,983566339923 14,0618026158365 1955,86048639085 133,267687773541
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1,54951605348251 -1,49377202631683 -0,052108503763163 413,191386188964 14,2585923201772 1949,34645424989 133,045351152172
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1,50208188857998 -1,52054007638671 -0,054744641718786 416,857875679918 14,8531991087615 1929,68932208097 132,359627673858
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1,42302494707577 -1,56678466657041 -0,05929868184163 423,116026415504 15,8587198566151 1896,53709729867 131,15369842168
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1,40721355877493 -1,57628720044284 -0,06023444233363 424,390359787261 16,0620597447931 1889,8470455087 130,902950044073
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Sheet 2: Data

Bullet type US military M193 Ball US military M118 Special Ball Palma Sierra MatchKing LRBT J40 Match Sierra MatchKing Sierra MatchKing LRBT J40 Match LRBT J40 Match








Projectile weight grams 3,564 11,2104 10,044 12,312 14,256 19,44 22,68 27,1512
0,2309472 0,72643392 0,6508512 0,7978176 0,9237888 1,259712 1,469664 1,75939776
diam mm 5,56 7,62 7,62 7,62 7,62 8,59 9,53 10,36








diam inch 0,223 0,308 0,308 0,308 0,308 0,338 0,375 0,408












































































































































































































































































































































Bullet type US military M193 Ball US military M118 Special Ball Palma Sierra MatchKing LRBT J40 Match Sierra MatchKing Sierra MatchKing LRBT J40 Match LRBT J40 Match








Projectile weight (in grain) 55 gr 173 gr 155 gr 190 gr 220 gr 300 gr 350 gr 419 gr

grain to grams 0,0648




Projectile diameter (in inches and mm) .223 in / 5.56 mm .308 in / 7.62 mm .308 in / 7.62 mm .308 in / 7.62 mm .308 in / 7.62 mm .338 in / 8.59 mm .375 in / 9.53 mm .408 in / 10.36 mm








Gyroscopic drift (in inches and mm) 23.00 in / 584 mm 11.50 in / 292 mm 12.75 in / 324 mm 3.00 in / 76 mm 7.75 in / 197 mm 6.5 in / 165 mm 0.87 in / 22 mm 1.90 in / 48 mm









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