Modern MEMs gyros/accelerometers allow the angular velocity of pendula to be precisely measured and the angular acceleration to be calculated. For a compound pendulum, ?p?¨=−???sin?, where a is the distance of the center of mass from the pivot, so the moment of inertia Ip of the compound pendulum about the pivot can be simply derived as ?p=−???/?¨(?=?/2) from measurements of the angular acceleration ?¨(?=?/2) when the pendulum is horizontal. Then mga can be determined by measuring the force and lever arm required to maintain the pendulum in a horizontal position.
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