Question

KAssignment 18 Item 5 A toy top with a spool of diameter 55 cm has a moment of inertia ot 2610 kg m about ts rotaion axis. To get the top spinning, s string is pulled with a tension of33 N Part A How long does take fhept complete he frst fe revlon? The sing i lng enough that aswrapped around the p moe han ve us Express your answer using teo sigificant figures 0.07 Submt X ncomrect Ty Aganaempts remanng Prode feedhack
this is my third time posting this question..... PLEASE get it right

Answer 1

Itum - 5 Diameter of the spool is d = 5.5 cm stadius of spool is d St = = = 5.5 2.75 cm 0 0.0275 m. moment of inertia is a I = 2.6 x 10-5 kg. me tension in the sturing is T = 0.33 N. VT - 0.33 N.

Net tourque about the contur of the spool is! ТАЛ 0.33 X 0.0275 T = 9.075 x 10-3 N.m angular acculeration of the spool then of x by the from condition of urotation I - IL 9.075 x 10 L = I T 3075*10* 2.6 x 10-5 = 349.0384 9d/32 Part A From second law of urotation o = Wort & I auta where wo = o stadls. initial angular speed)

o = 5 urad. 31. 4159 - vuvalutions : revolution = 6.28319 stad. now 31. 4159 = 0 + 1 x 349.0384 ut? + - 0. O. L80014 + 0.42 t = 0.42