mcuv.py

Created on December 12, 2022
766 Bytes
a=alpha=constante
w=omega=vitesse=a0*t+w0
O=teta=position1/2at**2+w0t+O0
t=temps

     MCUV
 1 acceleration angulaire
w=aot
a0=(pix5000/30)/10*60
a0=0.87rad/s

 2 nombre de tours pdt demarrage
 O=1/2aot**2
  =1/2*0.87*(10*60)**2
O=155990rad
O=155990/2pi=25000trs

 3 vitesse a 5000tr/min et 4min
A=acceleration=sqrt(an)**2(+at)**2
A=sqrt((Rxw2)2+(Rxa)2)
Rxa2=0
A=sqrt(Rxw2)2
 =sqrt1.5*(pi*5000/30)
 =411223 m/s2 A 5000tr/min
 
a=sqrt(1.5*0.87)2+(1.5*908)2
 =64896 m/s2=208rad/s A 4min
 V=R*w
  =1.5*208=312m/s
  
 4 duree totale du mvmt
w0=piN/30=pi*1200/30=125.7rad/s

conditions initiales
w=at+125.7
O=1/2at2+125.7

 a tfin 
O=80*2pi=502.7
w=o=a*tfin+125.7
 =502.7=1/2atfin2+125.7tfin
 =502.7=1/2-125.7/tfin*tfin2+125.7tfin
 =tfin=502.7/125.7-62.5
 =8s