anonymous
  • anonymous
interactions transfer momentum
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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amistre64
  • amistre64
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 ..
amistre64
  • amistre64
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
anonymous
  • anonymous
radius is 100m i think we would need to get circum and then get distance in between r1 amd r3

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amistre64
  • amistre64
distance is theta r in radians
amistre64
  • amistre64
half of .6 is .3 fora time
amistre64
  • amistre64
so, (2/360*100*pi)/.3 for an angular speed
anonymous
  • anonymous
5.818
amistre64
  • amistre64
1.852pi m/s so yeah, thats the angular speed i beleive
anonymous
  • anonymous
hold on the answer has hint it says find displacement vector
amistre64
  • amistre64
do you recall how to relate angular speed to tangential speed?
anonymous
  • anonymous
and then apply fundamental definition of velocity
anonymous
  • anonymous
can you get an idea through the hint now
amistre64
  • amistre64
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
anonymous
  • anonymous
go ahead plz
amistre64
  • amistre64
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
anonymous
  • anonymous
what are x y and z component
amistre64
  • amistre64
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
amistre64
  • amistre64
(0,1,0) scaled to 11.64
amistre64
  • amistre64
i cant tell if the circle is floating about in R^3 space or not
anonymous
  • anonymous
no lol iits just there so the answer would be (0,11.64,0) right
amistre64
  • amistre64
from what i can deduce .. thats what I would go with yes
anonymous
  • anonymous
ok and just wondering is the velocity and speed at point r5 and r2 same
amistre64
  • amistre64
since it is traveling at a constant angular velocity, the only thing about the vector that changes is the direction
anonymous
  • anonymous
so i am right both velocity and speed are constant on whole circle right?
amistre64
  • amistre64
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
anonymous
  • anonymous
ok and the speed is smae bcz the question says that it moves with constant speed
amistre64
  • amistre64
the "velocity" is changing, the "magnitude" is not
anonymous
  • anonymous
alright ty
amistre64
  • amistre64
yw
anonymous
  • anonymous
sry last question vertical is x and horizontal is y right
amistre64
  • amistre64
the sun rises vertically, above the horizon ... vertical is y, horizon is x
anonymous
  • anonymous
ty
anonymous
  • anonymous
a lot
amistre64
  • amistre64
good luck ;)

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