A tornado is formed when a tube of air circling a horizontalaxis is tilted up vertically

Chapter 20, Problem 22

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A tornado is formed when a tube of air circling a horizontalaxis is tilted up vertically by the updraft from athunderstorm. If t is time, this process can be modeledby the wind velocity fieldF (t, x, y, z) = (cos tj +sin tk )r and 0 t 2 .Determine the direction of curl F :(a) At t = 0 (b) At t = /2(c) For 0 < t < /2

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