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18 November, 10:09

A rotating water pump works by taking water in at one side of a rotating wheel, and expelling it from the other side. If a pump with a radius of 0.120 m starts from rest and accelerates at 30.5 rad/s2, how fast will the water be traveling when it leaves the pump after it has been accelerating for 9.00 seconds

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  1. 18 November, 10:37
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    initial angular velocity, ωo = 0 rad/s

    angular acceleration, α = 30.5 rad/s²

    time, t = 9 s

    radius, r = 0.120 m

    let the velocity is v after time 9 s.

    Use first equation of motion for rotational motion

    ω = ωo + αt

    ω = 0 + 30.5 x 9

    ω = 274.5 rad/s

    v = rω

    v = 0.120 x 274.5

    v = 32.94 m/s
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