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Starting from rest, a 2500 kg helicopter accelerates straight up at a constant 1.7 m/s2. What is the helicopter's height at the moment its blades are providing an upward force of 29 kN? The helicopter can be modeled as a 2.6-m-diameter sphere.

How do you start this question? Does it include gravity?

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Brittany

  1. let g = 9.8 m/s^2

    weight = 2500 * 9.8 = 24,500 N

    Thrust - weight - drag = m a

    29,000 - 24,500 - drag = 2500 (1.7)

    drag = 250 N at this speed and thrust

    Now I do not know what your class has done about drag of a sphere. However what is needed is the speed at which the drag of this 1.3 meter radius sphere is 250 Newtons in air.
    then v = 1.7 t and h = (1/2)1.7 t^2

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    Damon

  2. No, we have not covered Thrust. Thank you for your help.

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    Brittany

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