Question 633726: The magnitude and directions of u and v are given. Find vector w's polar coordinates.
u: magnitde 23, bearing 215°
v: magnitude 14.5, bearing 105°
w: u + v
A:(22.7, 77°)
B:(77, 22.7°)
C:(22.6, 177.9°)
D:(177.9, 22.6°)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The magnitude and directions of u and v are given. Find vector w's polar coordinates.
u: magnitude 23, bearing 215°
v: magnitude 14.5, bearing 105°
w: u + v
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x ccordinate of u+v: 23cos(215)+14.5cos(105) = -22.59
y coordinate of u+v: 23sin(s15)+14.5sin(105) = 0.8136
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magnitude of u+v: sqrt[(-22.59)^2+(0.8136)^2] = 22.60
direction of u+v: tan^-1(0.8136/(-22.59)) = -2.06 = 180-2.06 = 177.9 degrees
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Ans: C
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Cheers,
Stan H.
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A:(22.7, 77°)
B:(77, 22.7°)
C:(22.6, 177.9°)
D:(177.9, 22.6°)
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