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A meteorological balloon 85 cm in diameter is floating in the atmosphere in a region where the turbulent cascade is driven by eddies having characteristic length of 200 m and characteristic velocity of 10 m/s. Using purely scale analysis, estimate the strongest accelerations inflicted on the balloon by the turbulent motions. And if the meteorological instruments attached to the balloon cannot withstand accelerations greater than 2 m/s2, what should be the balloon diameter to keep the acceleration below the acceleration limit of the instruments.