Question
The angle between π΄β = β(24.0 m)πΜ+ (32.0m)πΜ and the positive x axis is
The angle between π΄β = β(24.0 m)πΜ+ (32.0m)πΜ and the positive x axis is:
A) 29.2
B) 36.9
C) 53.1
D) 61.1
E) 127
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Koala Tutor
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Got a question with my answer?
To find the angle between π΄β and the positive x-axis, we need to use the arctan function:
ΞΈ = arctan (magnitude of y-component / magnitude of x-component)
In this case, the y-component is 32.0 m and the x-component is -24.0 m. Since the x-component is negative, we need to take that into account when calculating the angle.
ΞΈ = arctan (32 / 24) = arctan (4/3) = 53.1 degrees
Therefore, the angle between π΄β and the positive x-axis is C) 53.1.
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