A Proell governor has an equal arm's length of (420 mathrm{~mm}). The upper and lower ends of

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A Proell governor has an equal arm's length of \(420 \mathrm{~mm}\). The upper and lower ends of the arms are pivoted on the axis of the governor. The extension arms of the lower links are each 80 \(\mathrm{mm}\) long and parallel to the axis when the radii of rotation of the balls are \(160 \mathrm{~mm}\) and \(220 \mathrm{~mm}\). The mass of each ball is \(12 \mathrm{~kg}\) and mass of the central load is \(60 \mathrm{~kg}\). Determine the range of the speed of the governor.

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