Question 565529
Use the formula D^3 = 216T^2
1. Find what happens to the duration of a storm if its diameter is doubled.
T = sqrt[D^3/216]
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Find "T" when D is doubled:
T = sqrt[(2D)^3/216]
T = sqrt(8D^3/216]
T = (2sqrt(2)*[sqrt[D^3/216]
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Notice: The time is increased by a factor of 2sqrt(2)
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2. determine how long a storm will last if it has a diameter of 10 mi.
T(10) = sqrt[10^3/216] = sqrt[(10/6)^3] = sqrt[(5/3)^3] = (5/3)sqrt(5/3)
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Cheers,

Stan H.
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