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28 June, 04:53

Starting from rest, the boy runs outward in the radial direction from the center of the platform with a constant acceleration of 0.5 m/s2. The platform rotates at a constant rate of 0.2 rad/s. Determine his velocity (magnitude) when t = 3 sec

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  1. 28 June, 05:48
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    His velocity when t = 3 sec is V = 1.56 m/s

    Explanation:

    a = 0.5 m/s²

    ω = 0.2 rad/s

    t = 3 sec

    Vr = a*t

    Vr = 1.5 m/s

    r = a*t²/2

    r = 2.25m

    Vt = w*r

    Vt = 0.45 m/s

    V = √ (Vr²+Vt²)

    V = 1.56 m/s
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