Question

Obtain expressions in component form for the position vectors having the following polar coordinates.(a) 12.0 m, 170 degrees counterclockwise from the +x axis.(b) 3.80 cm, 40.0 degrees counterclockwise from the +x axis(c) 20.0 in., 224 degrees counterclockwise from the +x axis

Answer 1

Answer:

  (a)  (-11.818, 2.084)

  (b)  (2.911, 2.443)

  (c)  (-14.387, -13.893)

Step-by-step explanation:

The generic expression for component form is ...

  components = magnitude(cos(angle), sin(angle))

For repeated calculations, it works well to use a suitable calculator or spreadsheet.

(a) 12.0(cos(170°), sin(170°)) ≈ (-11.818, 2.084)

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(b) 3.80(cos(40°), sin(40°)) ≈ (2.911, 2.443)

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(c) 20.0(cos(224°), sin(224°)) ≈ -14.387, -13.893)

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In the attachment, the calculator is treating these as complex numbers. The component marked with "i" is the component in the y-direction.