An airplane pulls a 27 kg banner on a cable as depicted in the figure below. Whe

Question

An airplane pulls a 27 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 = 30°.

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

(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 = 39°. 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?
__________ kg

I put 529 N and 34 kg and it was incorrect.

Explanation / Answer

tantheta = Fg/Fd

Fd = Fg/tan30

drag force Fd = 27*9.8/tan30 = 458.3 N <<<<=====answer

++++++++++++++++++

(b)

tan39 = Fg/Fd

Fg = Fd*tan39

(mbanner + mwater)*g = Fd*tan39

(27+mwater)*9.8 = 458.3*tan39

mwater = 10.87 kg <<<<===answer

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