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The formula for the frequency of the pendulum is w2=g/l
if you wish to double your period w1, you want to have w2 = 2*w1
The needed length of the pendulum is then l2 = g / w22 = g /(4 * w12) = 0.25 * g / w12 = 0.25 * l1
l2 / l1 = 1/4
You must shorten the length of the pendulum to 1/4 of its former size.
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