Physics

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you swing the pail in a vertical circle of radius 0.900m.What minimum speed must you give the pail at the highest point of the circle if no water is to spill from it?

  • Physics -

    well, centripetal force must be greater than weight

    mg<=mv^2/r
    v>=sqrt(g*r)
    check that.

  • Physics -

    i don't know where to go from there

  • Physics -

    v is the minimum speed.

  • Physics -

    Consider the following equation in the y-direction.

    Fy=T+Fg=ma

    Or in this case...

    T+Fg=(mv^2)/R

    Tension equals to 0 because when the pail of water is at the highest point, tension is nonexistent.

    Therefore...

    mg=(mv^2)/R

    Cancel out mass

    g=(v^2)/R

    (Rg)^(1/2)=v

    Plug in values.

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