The bullet moves vertically: h= 12gt2? ②
Rotation of cylinder: 2π? n=ωt③
Vertical component motion of cylinder: h=vt④
Simultaneous solution: t=2vg
v′= Rgv
ω=nπgv(n= 1.2…)
So the answer is: Rgv, ω = n π gv (n = 1.2 ...).