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vroomZOOM 15
November 09 2020
0 0


 

 

with(Units)

Automatically loading the Units[Simple] subpackage
 

  

 

UseSystem('FPS')

q := 25*Unit('lb'/'s'); m__o := 2400*Unit('lb'); g := 32.2*Unit('ft'/'s'^2); u := 12000*Unit('ft'/'s')

12000*Units:-Unit(ft/s)

 (2)

 

 

(2)

a := diff(u*ln(m__o/(-q*t+m__o))-g*t, t)

300000*Units:-Unit(ft/s)*Units:-Unit(lb/s)/(2400*Units:-Unit(lb)-25*Units:-Unit(lb/s)*t)-32.2*Units:-Unit(ft/s^2)

 (3)

NULL

NULL

v := u*ln(m__o/(-q*t+m__o))-g*t

12000*Units:-Unit(ft/s)*ln(2400*Units:-Unit(lb)/(2400*Units:-Unit(lb)-25*Units:-Unit(lb/s)*t))-32.2*Units:-Unit(ft/s^2)*t

 (4)

h := int(u*ln(m__o/(-q*t+m__o))-g*t, t)

-1152000.*Units:-Unit(ft)-16.10000000*t^2*Units:-Unit(ft/s^2)-1152000.*Units:-Unit(ft)*ln(-96./(-96.+t/Units:-Unit(s)))+12000.*t*ln(-96./(-96.+t/Units:-Unit(s)))*Units:-Unit(ft/s)+12000.*t*Units:-Unit(ft/s)

 (5)

c := 0-(eval(h, t = 0*Unit('s')))

1152000.*Units:-Unit(ft)

 (6)

h := c+h

-16.10000000*t^2*Units:-Unit(ft/s^2)-1152000.*Units:-Unit(ft)*ln(-96./(-96.+t/Units:-Unit(s)))+12000.*t*ln(-96./(-96.+t/Units:-Unit(s)))*Units:-Unit(ft/s)+12000.*t*Units:-Unit(ft/s)

 (7)

h := (1/5280)*h

-0.3049242424e-2*t^2*Units:-Unit(ft/s^2)-218.1818182*Units:-Unit(ft)*ln(-96./(-96.+t/Units:-Unit(s)))+2.272727273*t*ln(-96./(-96.+t/Units:-Unit(s)))*Units:-Unit(ft/s)+2.272727273*t*Units:-Unit(ft/s)

 (8)

 

(3)

``

``

``

 

``

for i from -4 by 4 to 80 do if i = -4 then printf("%12s %18s %15s %15s \n", "time", "acceleration", "velocity", "altitude") else printf("%10d %c %10.2f %s %10.2f %s %10.2f %s \n", i, "s", eval(a, t = i), "ft/s^2", eval(v, t = i), "ft/s", eval(h, t = i), "mi") end if end do

Error, (in fprintf) number expected for floating point format

  

plot(a, t = 0 .. 80)

Error, (in plot) units problem: encountered contradictions {t::1, Units:-Unit(lb/s)*t-96*Units:-Unit(lb)} in expression 300000*Units:-Unit(ft/s)*Units:-Unit(lb/s)/(2400*Units:-Unit(lb)-25*Units:-Unit(lb/s)*t)-32.2*Units:-Unit(ft/s^2) given that these expressions are unit-free: {t}

  

plot(v, t = 0 .. 80)

Error, (in plot) units problem: encountered contradictions {t::1, 12000*Units:-Unit(ft/s)*ln(2400*Units:-Unit(lb)/(2400*Units:-Unit(lb)-25*Units:-Unit(lb/s)*t))-32.2*Units:-Unit(ft/s^2)*t} in expression 12000*Units:-Unit(ft/s)*ln(2400*Units:-Unit(lb)/(2400*Units:-Unit(lb)-25*Units:-Unit(lb/s)*t))-32.2*Units:-Unit(ft/s^2)*t given that these expressions are unit-free: {t}

  

plot(h, t = 0 .. 80)

Error, (in plot) units problem: encountered contradictions {t::1, -96.+t/Units:-Unit(s)} in expression -0.3049242424e-2*t^2*Units:-Unit(ft/s^2)-218.1818182*Units:-Unit(ft)*ln(-96./(-96.+t/Units:-Unit(s)))+2.272727273*t*ln(-96./(-96.+t/Units:-Unit(s)))*Units:-Unit(ft/s)+2.272727273*t*Units:-Unit(ft/s) given that these expressions are unit-free: {t}

  

``


 

Download Project.mw

@Kitonum Thank you for helping me o...

vroomZOOM 15
October 05 2020
0 0

@Kitonum Thank you for helping me out on this learning curve! seems like I made a common mistake!

@acer Thank you! that should do the...

vroomZOOM 15
October 05 2020
0 0

@acer Thank you! that should do the trick!

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