Angular displacement is usually express in units jv 96pe4nhk2 eof

  Angular velocity is expressed in units ) p2fxkb9 cyjn2 61exiw4qc-uof

  Angular acceleration is expressed in +2fn mpc h1+qr3dpz-(63n3aknrwtx k units of

  A boy and a girl are riding on a merry-go-round which is turning at a constan /hb ,0xcj+mxbt rate. The boy is near the outer edge, and the girl is closer to the center. Who has xhj bc0m +b,/xthe greater angular displacement?

  A boy and a girl are rfc1flj +fi)*e)w s9h piding on a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the grea+)l9wpffjc 1f)h ei s*ter angular speed?

  A boy and a girl are riding on a merry-go-round which is turning at a con .3/n(bpdhzy-krngen )1* sts stant rate. The boy is near the outer edge, and the girl is closer e )3psnn/1 *bgt yndh.rz- k(sto the center. Who has the greater linear speed?

  A boy and a girl are riding a merry-go-round which is turning at a constant rat;vv-jf7 x v 1i,uxtq+ze ,vx7z;j tx-v+vifq1u. The boy is near the outer edge, while the girl is closer to the center. Who has the greater centripetal acceleration?

  A boy and a girl are riding a merry-go-round which ipp/u*/widx 1(:rgn86e0 mb-ydx wd tz s turning at a constant rate. The boy is near the n1/*pp8e0mt wxxd dy:(iu gwdrb6-z /outer edge, while the girl is closer to the center. Who has the greater tangential acceleration?

  Consider a rigid body that is rotating. Which of the foll,zh8*di pgm2 rowing is an accurate statem*8mhp2gi , drzent?

  Rolling without slipping dn*2aipgma/h-8kh o6, ,yxf6mmd+app epends on

  Two equal forces are applied to a door. The first force is applied at 7 d dmd*m 75jqxoqrg)hb7h)2m/ ( xgwithe midpoint of the door; the second force is applied at the doorknob. Both forces are applied perpendicular to the door. Which force exerts the greater torqued)7m ohgw/*rh 7di5)2x xd7(jqmgbqm ?

  Two equal forces are applied to a door at the doorknob. The first force is zm3.z9 qoesys(f u5/kapplied perpendicular to the door; the second force is applied at 30e to the plane of the door. Whichyf.9qmuz3skz (s e5/o force exerts the greater torque?

  Two forces are applied vjvka0 +ldz4on91wd -to a doorknob, perpendicular to the door. The first force is twice as large as the second force. The ratio of the vad-4z 0+9oj l1kdnwvtorque of the first to the torque of the second is

  What is the quantity used to measure an object's resistance to changes i k75e,hqx +csln rotatiq5+ lcs xh7ek,on?

  Consider two uniform solid spheres where both have the same diameter, but one h p,lxt bx *8sp*uj bb)rp-0s,sas twice thubxs,,tx8j -ps*bp*l0 r )bspe mass of the other. The ratio of the larger moment of inertia to that of the smaller moment of inertia is

  Two uniform solid spheres have the same mass, but one has twice the radius of th;2n0d pmcs1ur*g4 q2nk+h qjc s(;d jme other. The ratio of the larger sphere's moment of inertim+ cqhgj;*u;2 drjp d2nc0msk1(qsn 4a to that of the smaller sphere is

  Consider two uniform solid spheres where one has twice zhk:j:h0ld/ico a79ma (eq i) the mass and twice the diameter of the other. The ratio of the larger moment ofi j) kl0ha9/io ezm::7cqda (h inertia to that of the smaller moment of inertia is

  A uniform solid sphere haz uv7f0 *rg/ 8c i677ptlh04gl tqcigas mass M and radius R. If these are increased to 2M and 3R, what hpu80ql0 z7fg7i/6 *l4h gaivctrgct7appens to the sphere's moment of inertia about a central axis?

  If a constant net torque is applied trt;t y d0jr0-mws(8de o an object, that object will

  The moment of inertia of a aeisub z;z 8g/ua3 (/wsolid cylinder about its axis is given by $\frac{1}{2} MR^2$. If this cylinder rolls without slipping, the ratio of its rotational kinetic energy to its translational kinetic energy is

  Consider a motorcycle of mass 150 kg, one wheel ofm.) reh,k6 uvg.jx 2lg which has a mass of 10 kg and a radius of 30 cm. What is the ratio of the rotational kinetic energy of the wheels to the total translational kinetic energy of the bike? Assume the wheels are u6 ggeuk r.),2hlm xj.vniform disks.

  Suppose a solid sphere of mass M and radius R rolls without slibvc zf; l6x n/2+rw(lspping down an inclined plane starting from rest. The linear velocity of the sphere at the bottom of ;2/scrvb( xfw6zll+ nthe incline depends on

  Suppose a solid sphere of mass M and radius R rol;.us c7 r ok xybrg*7tn)s7eg1ls without slipping down an inclined plane starting from rest. The angular velocity of the sphere at the bottom of the incline depk;)t7bcu 1yxg gr7rn*sos .7e ends on

  "The total angular momentum of a system o6f nf /-mo/iwdy/g7a pf particles changes when a net external force acts on the systof/a/7mg/fn y p6dwi- em." This statement is

  In what circumstances can the angul6ls odfadapg0hw91 p ivy-2e/- wz4e,ar velocity of system of particles change without any change in the dpvgiydphw /92faza sle0 1we- -, o46system's angular momentum?

  The Earth orbits the Sun in an elliptical orbit. Ignore any fr n ,0l)a habqh:06fpq yn,i;rbiction which may be present. What happens over time to the Earth's angular momentum about the Synabfh0r bl,h,0;)pq6 n :qaiun?

  The Earth moves about the Sun in an elliptical orbit. 4w 3/ ll c4cbqiz 4;v0*5vpikb0ud eycAs the Earth moves close to cdlelp c vbqiz4w04i3;*cyb u5k0v/ 4the Sun, then which of the following best describes the orbiting speed of the Earth about the Sun?

  An ice skater performs a pirouette (a fast spin) by pulling in his outstjwxec:x c2t;5retched arms close to his body. What happens to his angular mome5x ;jce 2wt:cxntum about the axis of rotation?

  An ice skater performs a pirouette (a fast spin) by pulling in hcr 2+qulq (z4;qed 4kh2ai/v mis outstretched arms close to his body. What happens to his rotational kinetic enek(2l;z q4h2 m+4q i/devrcuqargy about the axis of rotation?

  An ice skater performs a pirouettetd e,eku.wo q,f/f-r2 (a fast spin) by pulling in his outstretched arms close to his body. What happens to his moment of iner,k-er q.t2 ue/dfof,wtia about the axis of rotation?

State the law of conservation of angular momenpng2 *) am/6 i:3mssaemtikgv ,xm -m1tum.

  What arc length does the Earth trav; dkpbyy 2mj33el in a three month period in its nearly circular orbit about thyjp2bd3 ;km3ye Sun with a radius of $1.5 \times 10^{11} \; m$?

  The second hand of a clock has a length 2jjw tvgt57.e of 0.30 m. What distance does the tip of the second hand sweep through in 3 minutes and 45 secondsgej .tvt527wj?

  How many rad/s is 25 revolutions per minute equivalent to?aehzw2s0hm wxca(n 9. 9,yn7p

  A bicycle wheel rotates uniform9nsnh * m:3 i1masmfmo,epny. by4l/) ly through 2.0 revolutions in 4.0 s. What is the fn/no4amblsne:sp m y.if hm *,3y)m19requency of the wheel's rotation?

  A pulsar (a rotating neutron star) emits pulses at a freqntr0kr .u)h-uf te 0rj 8-9cwouency of 0.40 kHz. The period of its rotarc-th.o-)tr u0efu n8wjk0 9rtion is

  A phonograph record rotates at 45 rpm. Through what angle tpi0bcltn;xx 7fm/4b qw6w1 ,d.m b3jjg30 f xdoes it turn in 0.20 s?,qfxttj 06xw1bd37 g;j0 b/.pxfmlw4 i3mnb c

  A wheel of diameter 26 cm turns at 15q da1 o e:ip7nya1m/c300 rpm. How far will a point on the outer rim move in 2. /p1aineyq3 o d7amc1:1 s?

  A bicycle wheel rotates uniformly through 2.0 revolutions in g uey*kiw aw32yl8. e,w:pzxn5hxi:mc:4/ j t4.0 s. What is the avera 3 eg hz2p,ja4w y 5e *wy:wi.x:it:kucx/n8lmge angular speed of the wheel?

  A bicycle wheel rotates uniformly thrj6s:9xkto d 0ix 6*roiough 2.0 revolutions in 4.0 s. What is the linear speed of a point t:si6o06x o9xr id*jk 0.10 m from the center of the wheel?

  A cable car at a ski resort carries skiers a distance08re-fp * 6dmp jvvhx0 of 6.8 km. The cable which moves the car 8p-vjrxhmfp d0 e 06v*is driven by a pulley with diameter 3.0 m. Assuming no slippage, how fast must the pulley rotate for the cable car to make the trip in 12 minutes?

  A wheel of radius 1.0 m is rotating with a constansva3gxjaydy9 + q1gp0c7px- 6t angular speed of 2.0 rad/s. What is the linear speed of a pop9aqyd-7x s1y6cap x+ gv0gj3int on the wheel's rim?

  The cutting cord on a gas-powered weed cutter is 0.16 m in length pa+fyrc f44y3. If the motor rotates at the rate of 20 rev/s, what is the approximate linear speed of thecpyf3fa4r4 +y end of the cord?

  A wheel of radius 1.0 m is rotating with a constant angular speqa(mu )p)4 d hahsufhr1bwd*51*4lsf(+p auj ed of 2.0 rad/s. What is the centripe(41 hldjspqa(5 +* u sd4)au)hm*bhrffpau1wtal acceleration of a point on the wheel's rim?

  What is the centripetal acceleration . 2-ztrz( 5vqhcp bx,uof a point on the perimeter of a bicycle wheel of diameter 70.0 cm when vzp (xu .r,qzbct-25h the bike is moving 8.00 m/s?

  How many revolutions per minute (rpm) must a circular, rota a)xp9x x,yr-n,ug m:sting space station (r = 1000 m) rotate t x9:xn,uyp)armsg -,x o produce an artificial gravity of $9.80 \; m/s^2$?

  A car is negotiating a flat circ n7bwk rc;qt(-xfsw,;znt6g7 ular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal forcezw - 776xwrnkf;tgb;,n t( scq (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the centripetal acceleration of the car?

  A car is negotiating a flat circular curve of radius 50 m with a speed of jem:x/4 p+rwzl2n9- zmw;mx 9ivs-ut20 m/s. The maximum centripetal fimztn:u; +zr- me s-4wl9mp/ 2xwx9 vjorce (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A 0.300-kg mass, attached to the end v5/ciy-l, 2qz / hvxwp)qs2myof a 0.750-m string, is whirled around in a smooth level table. If the maximum tension that the string can withstand is 250 N, then what maximum linear speed can the mass have if the string is not to brea- zx)/clv22 qv/5qypi,mw shyk?

  A bowling ball of mass 7.5 kg and radius 9.0 cm rolls without slippin2dz yn)3kscu*tc+v n/ g 10 m down a lane atdn k zn3u 2cc/+vtys)* 4.3 m/s.
(a) Calculate the angular displacement of the bowling ball.   rad ( fill in numbers only)
(b) Calculate the angular velocity of the bowling ball   rad/s ( fill in numbers only)
(c) Calculate the radial acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)
(d) Calculate the tangential acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)

  A wheel accelerates wit/ k5oxua 4uk nfdfo:w70r/6m oh a constant angular acceleration of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angle the wheel rotates through in 2.0 s?

  A wheel accelerates with a constapmvvs5c,/0 dz9a rq 6cnt angular acceleration of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angular velocity at t = 2.0 s?

  How many radians does a 0.300-m radius automobile tire r ss8gzn4f r )94t6zokbk6 bc4aotate after starting from rest and accelerating at a constant a49bzzcbr a4f66 8)ks gknto4sngular acceleration of $2.00 \; rad/s^2$ over a 5.00-s interval?

  A wheel starts at rest, and has an an8s olx. 6k,q0rp1l2dfj of8mbgular acceleration of $4 \; rad/s^2$. Through what angle does it turn in 3.0 s?

  A Ferris wheel rotating at 20 rad/s dec7jb/uaf3 1h ezsecxq5 8y-2ys elerates with a constant angular acceleratio ucja y-yesz3xbq5h7 8 /es1f2n of $-5.0 \; rad/s^2$. How many revolutions does it rotate before coming to rest?

  A wheel starts from rest and reachbxo1phe(jc+n9ab-i q 0xhl 62 es an angular speed of 6.0 rad/s while turning through 2.0 revolutions. What is the ioc x0+nxb2hpa(96jqh-1bel average angular acceleration of the wheel?

  A wheel of diameter of 68.0 cm slows down uniformly from 8.40 s+7vp6. saatxnn6 bj5m/s to rest over a distance of 115 m. What is the total number of revolutions the wheel rotates in coming to re5x a+a7 6sbtnn.s 6vjpst?

  A wheel of diameter of 68.0 cm slowsfjx3on* bb/z7 down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the angular acceleration?z x7fn 3o*bbj/

  A wheel of diameter of 68.0 cm slows down uniformly from 8 kg)l 50asebul3hu9 ,g.40 m/s to rest over a distance of 115 mg3u s90ukg5) e lahl,b. How long does it take for the wheel to come to the stop?

  A centrifuge in a medical laboratory rotates at a rotational sozvw*1c2+ pib peed of 3600 rev/min. When switched off, it rotates 50.0 times pz2iwoc 1v*b+ at a constant angular acceleration before coming to rest.
(a) Determine the initial angular speed of the centrifuge.    $rad/s$
(b) Determine the angle (in radians) through which the centrifuge rotates before coming to rest.    $rad$
(c) Calculate the constant angular acceleration of the centrifuge.    $rad/s^2$
(d) Calculate the time necessary for the centrifuge to come to rest.    $s$

  The bolts on a car w3u njhfe8/l s* otinzbs3 20f,heel require tightening to a torque of 90 Nm. If a 30 cm long w 2io *8 unhjbt3sz3ns0 ,le/ffrench is used, what is the magnitude of the force required when the force is perpendicular to the wrench?

  The bolts on a car wheel require tightening to a torque ;mx0:3wiov qr2ssg ;k3 z4jewof 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the force requirk xsg ;:eos2w3iwvq3 m;r40z jed when the force applied at $53^{\circ}$ to the wrench?

  A wheel with moment of inesa3k5 54dw;l cnnb 7ykdmee;0rtia $3.00 \; kgm^{2}$ has a net torque of 3.50 Nm applied to it. What angular acceleration does it experience?

  A triatomic molecule is modeled as follows: masstuvc): is5 ;ap m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of inertia about the or5ac )pt;:vus iigin?

  A solid cylinder of mass 10 kg is pivoted about a frictionlessp9er 9;6yw 8 s oul2lc/0nbfka axis thought the center O. l eoc82 lp0r9fkb9wa6 n;sy/ uA rope wrapped around the outer radius $R_1$ = 1.0 m, exerts a force $F_1$ = 5.0 N to the right. A second rope wrapped around another section of radius $R_2$ = 0.50 m exerts a force $F_2$ = 6.0 N downward. (figure below) What is the angular acceleration of the cylinder?

  A solid cylinder of mass 10 kg is pivote qu8r49f*v ptzd about a frictionless axis thought the center O. A rope wrapped around the outer radius 4qzvtpr* 8uf 9$R_1$ = 1.0 m, exerts a force $F_1$ = 5.0 N to the right. A second rope wrapped around another section of radius $R_2$ = 0.50 m exerts a force $F_2$ = 6.0 N downward. (figure below) How many radians does the cylinder rotate through in the first 5.0 seconds, if it starts from rest?

  A 4.00-m long rod is hinged at one end. 23b 2tmmlujbn d:- 6skThe rod is initially held in the horizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is released? (The moment of inertia s2k-dmtl6 jubb :m 32nof a rod about one end is ML2/3.)

  Consider a bicycle wheel to be a ring of radius 30 cmtg07*nvd,c6o( ai 35vy q8 uit kfc-yz and mass 1.5 kg. Neglect the mass ocy3 zakn ytc* 057 ( ofdvi-68qivtug,f the axle and sprocket. If a force of 20 N is applied tangentially to a sprocket of radius 4.0 cm for 4.1 s, what linear speed does the wheel achieve, assuming it rolls without slipping?

  A 1.53-kg mass hangs on a rope wrapped around a frictionless disk pulley of masg.jwta73on 9zs 7.07 kg and radius 66.0 cm. What is the angular accelerawn9g z.aojt37 tion of the pulley?

  A 1.53-kg mass hangs on a rope wrapped around a frictionless disk pulley 8oz81ka. x6y4cd bz bsh,,ckk of mass 7.07 kg and radius 66.0 cm. What is the acceleration4h8zkk b68o1cxs.ykd,bc , az of the mass?

  A rotating flywheel can be used to store energy. If c6xfaz -j;ro :it is required to store $1.00 \times 10^{6} \; J$ of energy when rotating at 400 rad/s, what is the moment of inertial of the wheel in $kgm^{2}$?

  A wheel of moment of 28yqn /iv tu:30tombrinertia of $5.00 \; kgm^{2}$ starts from rest and accelerates under a constant torque of 3.00 Nm for 8.00 s. What is the wheel's rotational kinetic energy at the end of 8.00 s?

  A solid sphere of mass 1.0 kg and radius 0.010 m sta*ab cyi94dhw-rts from rest and rolls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reaches the bo 9*hwcdiy-4 battom of the inclined plane?

  A solid sphere of mass 1.0 kfpyijb2n 33mpgh -dza:/u*6 og and radius 0.010 m rolls with a speed of 10 m/s. bp*io3 j-3dngmpfy /u2zah:6 How high up an inclined plane can it climb before coming to rest?

  A hoop of radius 0.50 m and a mass of 0.20 kg is released from jhzi ii3ytro:q ro-6:k. cb5m)dv 6 l+rest and allowed to roll down an inclined plane. How fast is it moving after dropping a vertical distan3jzh:.rmlo5kb+ ri6id )oqc v:y6-itce of 3.0 m?

A solid sphere of mass 1.5 kg and radiugu4zsa o+s8t36/ s0 j ;dhfh)o z;nuik m)iby0s 15 cm rolls without slipping down a 35e incline that is 7.0 m long. Assume it started from re z hbk do m/hsts3+4)8gz u0;;i 0fu)ajns6yiost. The moment of inertia of a sphere is given by $I = (2/5)MR^2$.
(a) Calculate the linear speed of the sphere when it reaches the bottom of the incline.
(b) Determine the angular speed of the sphere at the bottom of the incline.
(c) Does the linear speed depend on the radius or mass of the sphere? Does the angular speed depend on the radius or mass of the sphere?

  An object's angular momentum changes by h 635i)y ul 5dzfyjt8t$20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

  A proton of mass $1.67 \times 10^{-27} \; kg$ rotates with an angular speed of 2 x 106 rad/s in a circle of radius 0.80 m in a cyclotron. What is the orbital angular momentum of the proton?

  An ice skater has a mome4z ,6go;cyyonnt of inertia of $5.0 \; kgm^{2}$ when her arms are outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to $2.0 \; kgm^{2}$, how fast will she be spinning?

  A figure skater rotating at 5.00 rad/s with are(jsaqbmj 39f1-.xlwz cj z5+ms extended has a moment of inertia of.j5aj1x3ml+-cbzq9ew sjz( f
$2.25 \; kgm^{2}$. If the arms are pulled in so the moment of inertia decreases to $1.80 \; kgm^{2}$, what is the final angular speed?