At one point during a rain storm, the rain is falling at a constant rate of n drops per square meter at an angle of 60o with respect to the horizontal direction. Unfortunately Ted has left three windows open: (1) the sunroof on his car that measures 0.6 m by 0.3 m, (2) his bathroom window that measures 0.6 m by 0.2 m, and (3) his bedroom window that measures 0.6 m by 0.3 m. The bedroom and bathroom windows are perpendicular to the ground and the sunroof is parallel to the ground. Which of the window openings has the greatest flux of rain drops?

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boffeemadrid boffeemadrid · Answer 1 · 2019-12-19T12:05:14+01:00

Answer:

1 ) roof

Explanation:

n = Number of raindrops

A = Area

r represents roof

b represents bathroom

be represents bedroom

[tex]\theta[/tex] = Angle = 60°

[tex]F_r=A_rsin\theta n\\\Rightarrow F_r=0.6\times 0.3\times nsin60\\\Rightarrow F_r=0.15588n[/tex]

[tex]F_b=A_bsin\theta n\\\Rightarrow F_b=0.6\times 0.2\times nsin30\\\Rightarrow F_r=0.06n[/tex]

[tex]F_{be}=A_{be}sin\theta n\\\Rightarrow F_b=0.6\times 0.3\times nsin30\\\Rightarrow F_r=0.09n[/tex]

The roof has the maximum flux