Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
K.~r A. Student Class Date _ _ Vertical Circular Motion 3 ./ Vertical circular motion occurs when an object, such as a motorcycle, moves on a vertical circular path . ./ The speed of the object varies, and so do the magnitudes of the centripetal acceleration and centripetal force . ./ Since there is a change of speed, tangential acceleration is present in a vertical circular motion . ./ In a vertical circular motion we must consider the gravity force. We must consider the normal force as well if there is contact between objects. A carnival clown rides a motorcycle down a ramp and around a "loop-the-loop". If the loop has a radius of 18 m, what is the slowest speed the rider can have at the top of the loop and avoid falling? 1. - V"".o.\;o.,rcyc! ~ ~et A 2.a kg object vertical circle 2. cw • - LQ. IV . ?.V\A W1 (] Fr ~ string fc -= - ,.-'0..() C when the F,. VV'L - in the o.c.. \Jt \'V\- ,. ~ v"2.=~'Y ca -= 1- ~ V: (;r ~r,'3 L__ ~~ OM. h] and swung in a object is at the 'M.~ ;! -+ """ 1- r, :::2.0 ''gC".8/~ y- string -= )-t 2.0\(.3 (12.""'/12 1.5 ~ [FT =: 2. I 2?J when the object is at the 'l. = M. ac F~- F,. -= - f FlJ + T=~ FT ~ 1'\'\ (J' 'f'I\ (). C- fT -= Fqd,+ -:;:- the tension path? (~"": F"c we L f 0cHo>tV- 't ~ t1\ .sr~i'OI. 'M \J 1. b) What is top of its 'I So \ oW'e5, in the : F',. "'"f. CAd )L we w~~\ C~~\ \-'-'e. is attached to a 1.5 m long string at a constant speed of 12.a m/s. a) What is the tension bottom of its path? 2."'-lA v-/ -("'0 Fe:;:: : ~ -- F.:(j-NF",,~D e clOI.\JVI -+- \""e -)-~-:-F::~- ""-~lie laar v ('Irt,'co.. I +0 r +"'.e. Ai f="l - ""'- ~ L. 'M.f 2.,Ok.S .. ((z.o ...•/sl - 2..D~{~.811&.} t.SW\ \J~ ~v':_ fca -:::"'"V y- (;f lei ,...112 t.J-: ~J (M.l..•. l""u~ -- te 5t-OI-l) lA 3. The condition of apparent weightlessness for the passengers can be created for a brief in~tant when a plane flies over the top of a vertical circle. At a speed of 215 m/s, what is the radius of the vertical circle that the pilot must use? F"" -:: 0 ~ 1'\0+ >0 I (p\.l01 doe> pl1~h 0"" s e C\ t ",ot ; +-~e "~~ S e" t J. r",~h ~"'C'/£) ~CLt"7 \0 """] 4. A roller coaster at an amusement park has a dip that bottoms out in a vertical circle of radius r. A passenger feels the seat of the car pushing upward on her with a force equal to twice her weight as she goes through the dip. If r=28.8 m, how fast is the roller coaster traveling at the bottom of the dip? d +~~frobl.(W\) 'Py (~~"eV\ F",::: 2.F h == ~ .--,- , Fe ~ VV\ ~c 2.""~ Le;..vJ FN- F~~ ,~ ~ ..•. zF~ - F~ -= fV\ &= (~r :::E~/>] ~~~ co {t(l.€.' "'{ION ~ a) Find the magnitude of the centripetal force • . F;~+ F", Fc= ~~z.. \C~ -=,..V'I\:::L-'r L ('Z.~'sY \'2..bv- b) Find the normal force that acts on the cycle. f~ + FroJ -::: Fe FrJ -= Fe - F~ ~~ _ l. '?7~ 1,000)< lOt, r ' ~~ ~ ~~ y- A moto~~ycle has a constant speed of 25.0 m/s as it passes over the top of a hill whose radius of curvature is 1~6 m. The mass of the motorcycle and driver is 342 kg. 5. V ~ ,~z. ",l (q. ~ I ) 0 l'> 6. A child is moving at constant speed in a vertical circle on a ferris wheel. Top ( ) Bottom ': a) On the diagram, sketch and label arrows to represent the gravitational force, and the normal force acting on the child at the bottom of the ride. What is the centripetal force here? Fe Frv ,- f~ ) =:: b) On the diagram, sketch and label arrows to represent the forces acting on the child at the top of the ride. What is the centripetal force here? Fe -= F~- r,..; c) Write the Newton's second law for the bottom of the ride. F: "'F;o._ m C c 0- C 0,--~_'" f~ ""_;_l.--,} d) Write the Newton's second law for the top of the ride. - Fe ~ - IN'\ ttc fN ',- f~-::: _ """ a.. c (FN - F~- - •• ~