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Homework Help: Conversion to cylindrical co-ordinates

  1. Jan 28, 2010 #1
    Conversion to cylindrical co-ordinates...plz help

    I came a across the following problem in William Hayt book.

    1.) Expresss in cylindrical componenets:(a) vector from C ( 3,2,-7) to D (-1,-4,2)

    The following is the solution in the solution manual of that book:
    a) the vector from C(3, 2,−7) to D(−1,−4, 2):
    C(3, 2,−7) → C(ρ = 3.61, φ = 33.7◦, z = −7) and
    D(−1,−4, 2) → D(ρ = 4.12, φ = −104.0◦, z = 2).
    Now RCD = (−4,−6, 9) and Rρ = RCD · aρ = −4 cos(33.7) − 6 sin(33.7) = −6.66. Then
    Rφ = RCD · aφ = 4 sin(33.7) − 6 cos(33.7) = −2.77. So RCD = −6.66aρ − 2.77aφ + 9az

    why have they taken angle 33.7 to find RCD ??

    I don't understand
     
    Last edited: Jan 28, 2010
  2. jcsd
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