• Card 29 / 41: Consider a conceptual model of a flagpole exposed to wind. We will approximate the flagpole as a smooth 3 inch OD cylinder 15 m long. The flagpole is exposed to hurricane force winds at 75 mph. Estimate the total transverse force on the flagpole. Which of the following ranges most closely matches your estimate?
    A) 20-100 N
    B) 300-900 N
    C) 3000-5000 N
    D) 1-5 N
    E) 100-300 N

    Answer:
    B) 300-900 N

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Explanation:

First find the properties of air. Then, convert all units to a consistent set (SI is usually simplest). For air at 20 degrees C, ρ =1.2 kg/m3, μ= 1.8x10-5 kg/(m s). The speed of the air is about 33 m/s. These give Re= 1.7 x 105. Refer to the figure on page 28 of the resource (Iowa) from subunit 6.4. This value of the Re puts the flow regime right in the transition to a turbulent boundary layer. Hence CD could be as little as 0.4 or as much as 1.2. If the surface of the flagpole is rough, then the lower limit is more likely. We then use F = CD ½ ρ v2 DL to calculate the range of the force experienced by the flagpole.

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Fluid Mechanics ME201

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Attribution:  Stephanie Redfern and Tuan Dinh. Fluid Mechanics. The Saylor Academy 2014, http://www.saylor.org/courses/me201/
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