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HW 4 colutions
J. We ae given te initial angular velocity
ond the change Mm Lime) SO We Cam USE
~ OW. We We © ~7OEY RPM
A= Fe oi
e 3 sec
So We Now neck to Convert FOCO RPM to red.
Zou rat
Rs ge DSI Daag oe
3S
2. Pest lets convert le given aoseler veloety t0
©) eed, Lo [RPM= 0.104 Ys We ane
told that phe accele«son oemrs over « pervod of
t= [Orn = OOO sec. Using d= eS, we have
ol = GION OK {173 xiond of)
CO See ee st
(b) The eguntion dow rabtul acceleration is Gg wr So we
rest need fo calcalate co aber FS prin = 200 see off
actelerctin. So loz LE = (75 Klo 4!) (300 sce =O, 057 cal |
oF S
pew oar S64 ner
() The fungensia| acceleration ts aver by Qean = XV
3. First, we need +0 Liv he auseler acce eration of
_ Aw Wp= i
the wheel, Using f= ee: ae we have
390 RpMr~ ZS KP
es
Converting RPM re eee we have
2 5 me, ~ 3,58 SE
_ 65% = SS 2 OSs S.
oss o
Using le equation C= wy + IKO
we have
6- js = 2774 ree.
Converting qhis +0 vakians aives Oz j7U5 pad,
y= re So X= Can)(is—[ 349
Nas,
(. The conmifuye is a Solid cylinder; so
T= tma= +(43)(0.01 wy = 0.017 Kart
We Cun use Ae Lace ther there (SS @ Constanp
Frierimal porgee applied ro Finl rhe ansulem
acceleatim, So,
oe _ = Onn - ad
te-DTx =) w= Z = Laan loota? --66,.67 Yn
=-10.61 "h
VCS
Now to find the number ot yevolutions,
We Can Use -
2 toa,
lots WEt IAG =F ose = 28% rev
bene
Ww=0
(a, \Hooo rem
t= -1oel 7
The amount at Hime Can be Powel by using
_ Zw We
o= SP => |] ty
aq. 1
=VULS
po
1 We vont lod tle Kmetic Evesy ot rhe ball,
thick oy ae by KE= Abe Vin + t Tencv®
aud or. We are Bien
wv. 4q°4 - 5y,.y oe
r= 0.04m C= ¥ > ooqm
me 71 BS Lem = SMR E(qiN(Q01) = ©, 023 Kgn*
ve 4%
Se 2 ltd #g) (4. a + (0.023 ha ve (su. 44 ad)
i Using Con Servetion ot enesy, we
a2
Pyke kDwr = bebo .
foe Lssm)
Since the center of mass of the folk is ae $4,
fee = 1 (3.49) = |. 59h
t Zz
6 eo ae eee spud “%,
= 616 “Ys
Movs out we teow rhe gular welocity,
Ve tor => Where ris tL,
So
