Question

interactions transfer momentum

Answer 1

a car is travelling at a constant speed in a circle with radius 100 m.
0.6 seconds pass between t_1 when car is at r_1
and t_3 when car is at r_3

determine x,y,z components of car's velocity vector when it is near r_2

im assuming theres a picture of a circle involved ..

Answer 2

nope, im not real sure that I even understand what the question is asking at the moment. I see no xyz references to start with. My best guess at the moment is that its a tangent vector at r_2 that is 100 units in length

Answer 3

radius is 100m i think we would need to get circum and then get distance in between r1 amd r3

Answer 4

distance is theta r in radians

Answer 5

half of .6 is .3 fora time

Answer 6

so, (2/360*100*pi)/.3 for an angular speed

Answer 7

5.818

Answer 8

1.852pi m/s so yeah, thats the angular speed i beleive

Answer 9

hold on the answer has hint it says find displacement vector

Answer 10

do you recall how to relate angular speed to tangential speed?

Answer 11

and then apply fundamental definition of velocity

Answer 12

can you get an idea through the hint now

Answer 13

i think we just did :)

v = rw, w is the angular velocity: angle/time, and r is the radius

100* 2/360 * 2pi might be good

Answer 14

go ahead plz

Answer 15

radius, times (degree in radians)/time

we know it traveled 2 degrees; that 2/360 of a circle that is 2pi round

(2/360) 2pi/.3, times 100 is the velocity

Answer 16

what are x y and z component

Answer 17

well, at r_2 in the picture we seem to be at a "0" degree position on a usual circle, and tangent to that is just staright up

Answer 18

(0,1,0) scaled to 11.64

Answer 19

i cant tell if the circle is floating about in R^3 space or not

Answer 20

no lol iits just there so the answer would be (0,11.64,0) right

Answer 21

from what i can deduce .. thats what I would go with yes

Answer 22

ok and just wondering is the velocity and speed at point r5 and r2 same

Answer 23

since it is traveling at a constant angular velocity, the only thing about the vector that changes is the direction

Answer 24

so i am right both velocity and speed are constant on whole circle right?

Answer 25

velocity IS a vector, the vector does not stay the same, its changeing its xyz parts to point in the correct direction as it moves around the circle

Answer 26

ok and the speed is smae bcz the question says that it moves with constant speed

Answer 27

the "velocity" is changing, the "magnitude" is not

Answer 28

alright ty

Answer 29

yw

Answer 30

sry last question vertical is x and horizontal is y right

Answer 31

the sun rises vertically, above the horizon ...

vertical is y, horizon is x

Answer 32

ty

Answer 33

a lot

Answer 34

good luck ;)