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Math Help - angular velocity

  1. #1
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    angular velocity

    Two people start at the same place and walk around a circular lake in opposite directions. One has an angular speed of 1.10 10-3 rad/s, while the other has an angular speed of 3.50 10-3 rad/s. How long will it be before they meet?

    answer in seconds.

    how can i find the chng in time if the angular velocity is not given?

    for example i have two angular speeds?

    angular velocity = (angular speed1 - angular speed 2) / chng in time
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  2. #2
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    Hello, rcmango!

    Two people start at the same place and walk around a circular lake in opposite directions.
    One has an angular speed of 1.10\times 10^{-3} rad/sec,
    while the other has an angular speed of 3.50 \times 10^{-3} rad/sec.
    How long will it be before they meet?
    They have a combined speed of: (1.10 \times 10^{-3}) + (3.50 \times 10^{-3}) \;=\;4.60 \times 10^{-3} radians/second.


    How long will it take them to cover 2\pi radians?

    (4.60 \times 10^{-3})\,T \;=\;2\pi\quad\Rightarrow\quad T \;=\;\frac{2\pi}{4.6} \times10^3 \;=\;1365.909849 seconds

    . . Therefore: . T \;\approx\;22\text{ min, }46\text{ sec}

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