An airplane pulls a 23 kg banner on a cable as depicted in the figure below. Whe

Question

An airplane pulls a 23 kg banner on a cable as depicted in the figure below. When the plane has a constant cruising velocity the cable makes an angle of = 23°.

(a) What is the drag force exerted on the banner by the air?

(b) The weather changes abruptly and the pilot finds herself in a 20 minute rain storm. After the storm she finds that the cable now makes an angle of water = 36°. Assuming the velocity and drag force are the same after the storm, what is the mass of the water absorbed by the banner's fabric during the storm?

Explanation / Answer

a) The drag force Fd is such that
tan23º = 0.424 = mg / Fd = 23kg * 9.8m/s² / Fd Fd = 531.6 N

b) tan36º = 0.7265 = m * 9.8m/s² / 531.6N
Then m = 39.4 kg.
That means that 16.4 kg of water were absorbed.

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