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12 August, 16:50

An accelerometer-a device to measure acceleration-can be as simple as a small pendulum. Suppose you are flying a small plane in a straight horizontal line and your accelerometer hangs 14.00° behind the vertical, opposite the direction of motion. What is your acceleration?

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  1. 12 August, 16:53
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    g tan (14°) = 2.44 m/s^2

    Explanation:

    If the pendulum is static, the tension will give us the magnitude of the acceleration of the plane.

    Let T the tension of the pendulum and a the acceleration of the plane

    The y-axis equation states that:

    T cos (14) = mg

    Similarly, for the x-axis

    T sin (14) = ma

    Dividing these equations we get

    sin (14) / cos (15) = tan (15) = a/g

    And solving for a:

    a = g * tan (15)
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