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5/21/2021 Circ lar mo ion - Wikipedia https://fdocuments.us/document/control-statements-anil.html Ci c la m I , ci c la m .I i n i , , - .T - .T .I . , E : E ' , , , , . , S ' , , C N .W . ' , e Uniform circular motion F m la I la c di a e U i g c m le mbe Vel ci Rela i i ic ci c la m i Accele a i Non-uniform Applications See also References External links U if ci c la I , i if m ci c la m .S .T , i , ' , : ' , .T ; .T , , . h p ://en. ikipedia.org/ iki/Circ lar_mo ion 1/10 5/21/2021 Circ lar mo ion - Wikipedia I , , . Formulas F I r, T, , C = 2 r. , : a d he i a e adia T / ec : T d Figure 1: Velocity and acceleration a in uniform circular motion at angular rate ; the speed is constant, but the velocity is always tangent to the orbit; the acceleration has constant magnitude, but always points toward the center of rotation. t : T , α, I : , . T : T : T F - = d / dt. T . W 1. T Figure 2: The velocity vectors at time t and time t + dt are moved from the orbit on the left to new positions where their tails coincide, on the right. Because the velocity is xed in magnitude at = r , the velocity vectors also sweep out a circular path at angular rate . As dt 0, the acceleration vector a becomes perpendicular to , which means it points toward the center of the orbit in the circle on the left. Angle dt is the very small angle between the two velocities and tends to zero as dt 0. , h p ://en. ikipedia.org/ iki/Circ lar_mo ion 2/10 5/21/2021 Circ lar mo ion - Wikipedia , = (t).[1] 2 (t), , r. L (t) r I , . C Figure 3: (Left) Ball in circular motion rope provides centripetal force to keep ball in circle (Right) Rope is cut and ball continues in straight line with velocity at the time of cutting the rope, in accord with Newton's law of inertia, because centripetal force is no longer there. , , . The eed i 1 me e e ec d. The i a d accele a i i 1 me e e ae 2 ec d, / . I i bjec a ce i e al f ce f 1 kil g am me e e a e ec d, hich i e e . The m me m f he b d i 1 kg m 1. The m me f i e ia i 1 kg m2. The a g la m me m i 1 kg m2 1. The ki e ic e e g i 1 j le. The ci c mfe e ce f he bi i 2 ( 6.283) me e . The e i d f he m i i 2 ec d e . The f e e c i (2 ) 1 he Figure 1: Vector relationships for uniform circular motion; vector representing the rotation is normal to the plane of the orbit. . In polar coordinates D R , .S F 4. T (t) vector : t .I , .I . T h p ://en. ikipedia.org/ iki/Circ lar_mo ion : 3/10 5/21/2021 Circ lar mo ion - Wikipedia B , .T , , . I d dt, , d . S 4. H : F ( , Figure 4: Polar coordinates for circular trajectory. On the left is a unit circle showing the changes and in the unit vectors and for a small increment in angle . , ) .T , d .H : T .T : T .A /2 + . H , , d , d , : . (O C , decrease : T h p ://en. ikipedia.org/ iki/Circ lar_mo ion , d .) S , F 4. : 4/10 5/21/2021 Circ lar mo ion - Wikipedia : Using complex numbers C .L .T x , i " ": , S , t. : dot . W : : T , . Velocity F 1 .B , A speed, a, direction ( . T r, . T ) , ( . .T F s=r .T . ) , , h p ://en. ikipedia.org/ iki/Circ lar_mo ion 5/10 5/21/2021 Circ lar mo ion - Wikipedia . (B , = v/r.) T ,v v, , . Relativistic circular motion I - - , , , , , , - , : Acceleration T - F 2 .O , . B .F , d = dt v d , h p ://en. ikipedia.org/ iki/Circ lar_mo ion 6/10 5/21/2021 Circ lar mo ion - Wikipedia Centripetal acceleration for some values of radius and magnitude of velocity 1 / 3.6 / 2.2 v r S 2 / 7.2 / 4.5 5 18 11 a / 10 36 22 / / / B 20 72 45 / / C a 50 180 110 / / 100 360 220 A / / ba 10 m/s2 1.0 g 40 m/s2 4.1 g 250 m/s2 25 g 1.0 km/s2 100 g 4.0 km/s2 410 g 25 km/s2 2500 g 100 km/s2 10000 g 20 7.9 5.0 m/s2 0.51 g 20 m/s2 2.0 g 130 m/s2 13 g 500 m/s2 51 g 2.0 km/s2 200 g 13 km/s2 1300 g 50 km/s2 5100 g 50 1.6 2.0 m/s2 0.20 g 8.0 m/s2 0.82 g 50 m/s2 5.1 g 200 m/s2 20 g 800 m/s2 82 g 5.0 km/s2 510 g 20 km/s2 2000 g 1.0 m/s2 0.10 g 4.0 m/s2 0.41 g 25 m/s2 2.5 g 100 m/s2 10 g 400 m/s2 41 g 2.5 km/s2 250 g 10 km/s2 1000 g 2 6.6 500 mm/s2 0.051 g 2.0 m/s2 0.20 g 13 m/s2 1.3 g 50 m/s2 5.1 g 200 m/s2 20 g 1.3 km/s2 130 g 5.0 km/s2 510 g 5 16 200 mm/s2 0.020 g 800 mm/s2 0.082 g 5.0 m/s2 0.51 g 20 m/s2 2.0 g 80 m/s2 8.2 g 500 m/s2 51 g 2.0 km/s2 200 g 100 mm/s2 0.010 g 400 mm/s2 0.041 g 2.5 m/s2 0.25 g 10 m/s2 1.0 g 40 m/s2 4.1 g 250 m/s2 25 g 1.0 km/s2 100 g 20 66 50 mm/s2 0.0051 g 200 mm/s2 0.020 g 1.3 m/s2 0.13 g 5.0 m/s2 0.51 g 20 m/s2 2g 130 m/s2 13 g 500 m/s2 51 g 50 160 20 mm/s2 0.0020 g 80 mm/s2 0.0082 g 500 mm/s2 0.051 g 2.0 m/s2 0.20 g 8.0 m/s2 0.82 g 50 m/s2 5.1 g 200 m/s2 20 g 10 mm/s2 0.0010 g 40 mm/s2 0.0041 g 250 mm/s2 0.025 g 1.0 m/s2 0.10 g 4.0 m/s2 0.41 g 25 m/s2 2.5 g 100 m/s2 10 g 200 660 5.0 mm/s2 0.00051 g 20 mm/s2 0.0020 g 130 m/s2 0.013 g 500 mm/s2 0.051 g 2.0 m/s2 0.20 g 13 m/s2 1.3 g 50 m/s2 5.1 g 500 1600 2.0 mm/s2 0.00020 g 8.0 mm/s2 0.00082 g 50 mm/s2 0.0051 g 200 mm/s2 0.020 g 800 mm/s2 0.082 g 5.0 m/s2 0.51 g 20 m/s2 2.0 g 1.0 mm/s2 0.00010 g 4.0 mm/s2 0.00041 g 25 mm/s2 0.0025 g 100 mm/s2 0.010 g 400 mm/s2 0.041 g 2.5 m/s2 0.25 g 10 m/s2 1.0 g 10 3.9 Lab a 1 3.3 Pa a 10 33 R - a a 100 330 F a -a 1 3300 H a N - I - a if if m ci c la m i . S , . I - ( ) , ( ). T : . U h p ://en. ikipedia.org/ iki/Circ lar_mo ion , . 7/10 5/21/2021 Circ lar mo ion - Wikipedia I - , . H . T .T . T ). T (W ) ( . I - , . B , .F .I , ' ' , .T .T ( . H ) , .F , . A , , ' . T .T .O , ' .T , .T N , .W ' ' , . A . F .[2] A , lica i S - . W , .I , - - .A , . h p ://en. ikipedia.org/ iki/Circ lar_mo ion 8/10 5/21/2021 Circ lar mo ion - Wikipedia R . T .T .S , . U , .A , ( , , , .). F , , , . I , .D , .T , . R .T : .T ; , C , . See al A g la m me m E ai f m i f ci c la m i E am le: ci c la m i Fic i i f ce Ge a i a bi Ge ch bi Pe d l m (ma hema ic ) Reac i e ce if gal f ce Reci ca i g m i Sim le ha m ic m i #U if m ci c la m i h p ://en. ikipedia.org/ iki/Circ lar_mo ion 9/10 5/21/2021 Circ lar mo ion - Wikipedia Sli g ( ea ) Refe e ce 1. K d e , Je M.; Hj h, P l G. (2000). Ele e f Ne ia echa ic : i cl di g li ea d a ic (h ://b k .g gle.c m/b k ?id=U m _lWUC) (3 ed.). S i ge . . 96. ISBN 3540-67652-X., Cha e 5 age 96 (h ://b k .g gle.c m/b k ?id=U m _lWUC& g=PA96) 2. G me , R W; He a de -G me , J J; Ma i a, V (25 J l 2012). "A j m i g c li de a i cli ed la e" (h :// . e ea chga e. e / blica i /236030807). E . J. Ph . IOP. 33 (5): 1359 1365. a Xi :1204.0600 (h ://a i . g/ab /1204.0600). Bibc de:2012EJPh...33.1359G (h :// i.ad ab . ha a d.ed /ab /2012EJPh...33.1359G). d i:10.1088/0143-0807/33/5/1359 (h ://d i. g/10.1088% 2F0143-0807%2F33%2F5%2F1359). S2CID 55442794 (h ://a i. ema ic ch la . g/C ID:55 442794). Re ie ed 25 A il 2016. E e al li k Ph cli : Mecha ic i h a ima i a d ide cli (h :// eb.a chi e. g/ eb/20070601020244/ h :// . h cli . .ed .a /) f m he U i e i f Ne S h Wale Ci c la M i (h :// .ligh a dma e .c m/h ml_b k /1 /ch09/ch09.h ml) a cha e f m a li e e b k Ci c la M i Lec e (h :// eb.a chi e. g/ eb/20100117190656/h :// c .mi .ed /Oc Web/P h ic /8-01Ph ic -IFall1999/Vide Lec e /de ail/embed05.h m) a ide lec e CM [1] (h :// .ama .c m/U i e-Pe ce i -Ph ic -C mme a ie - l i /d /1542776058) a li e e b k i h diffe e a al i f ci c la m i Retrieved from "https://en.wikipedia.org/w/index.php?title=Circular_motion&oldid=1024109999" T a a a 20 Ma 2021, a 05:02 (UTC). Text is available under the Creative Commons Attribution-ShareAlike License; additional terms may apply. By using this site, you agree to the Terms of Use and Privacy Policy. Wikipedia is a registered trademark of the Wikimedia Foundation, Inc., a non-pro t organization. h p ://en. ikipedia.org/ iki/Circ lar_mo ion 10/10