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Average velocity vector of non-uniform circular motion?

  1. Oct 29, 2016 #1
    1. The problem statement, all variables and given/known data
    A particle starting from rest revolves with uniformly increasing speed in a clockwise circle in an xy plane. The center of the circle is at the origin of an xy coordinate system. At t=0, the particle is at x=0.0m, y=2.0m. At t=2.0s, it has made one-quarter of a revolution and is at x=2.0m,y=0.0m.

    (a) Speed at t=2.0s?
    (b) Average velocity vector?
    (c) Average acceleration vector during this interval.

    2. Relevant equations

    $$a_{tan} = \frac{dv}{dt}$$
    $$a_R = \frac{v^2}{r}$$
    $$a = \sqrt{a^2_{tan}+a^2_{R}}$$

    3. The attempt at a solution

    a)
    $$r = 2$$
    $$d = \frac{2 \pi (2)}{4} = \pi$$
    $$v = \frac{\pi}{2}$$

    b, c) I don't know where to start because it's asking for a vector which implies that we need to calculate the "average angle" ?
     
  2. jcsd
  3. Oct 29, 2016 #2

    haruspex

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    Your answer for a) is wrong. what equations do you know for uniform acceleration? (Usually called the SUVAT equations.)
    Also, you should state the units in the answers.
     
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