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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 ..
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
radius is 100m i think we would need to get circum and then get distance in between r1 amd r3
distance is theta r in radians
half of .6 is .3 fora time
so, (2/360*100*pi)/.3 for an angular speed
1.852pi m/s so yeah, thats the angular speed i beleive
hold on the answer has hint it says find displacement vector
do you recall how to relate angular speed to tangential speed?
and then apply fundamental definition of velocity
can you get an idea through the hint now
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
go ahead plz
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
what are x y and z component
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
(0,1,0) scaled to 11.64
i cant tell if the circle is floating about in R^3 space or not
no lol iits just there so the answer would be (0,11.64,0) right
from what i can deduce .. thats what I would go with yes
ok and just wondering is the velocity and speed at point r5 and r2 same
since it is traveling at a constant angular velocity, the only thing about the vector that changes is the direction
so i am right both velocity and speed are constant on whole circle right?
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
ok and the speed is smae bcz the question says that it moves with constant speed
the "velocity" is changing, the "magnitude" is not
sry last question vertical is x and horizontal is y right
the sun rises vertically, above the horizon ... vertical is y, horizon is x
good luck ;)