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import math g = 9.8 def w(L): return math.sqrt(g / L) def k(L, b): denom = math.sqrt(g) + b * math.sqrt(L) return g / (denom ** 2) # Let's say our first pendulum is 1 meter long, w is 3.13 radians per second # and with 15 more pendulums we want to reach about 9.13, so 6 / 15 is 0.4 L = 1 print L, w(L) for i in range(15): L = L * k(L, 0.4) print "L: %s, w: %s" % (L, w(L))
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