Question

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?

Answer 1

1 ) roof

Step-by-step explanation:

n = Number of raindrops

A = Area

r represents roof

b represents bathroom

be represents bedroom

`\theta` = Angle = 60°

`F_r=A_rsin\theta n\\\Rightarrow F_r=0.6* 0.3* nsin60\\\Rightarrow F_r=0.15588n`

`F_b=A_bsin\theta n\\\Rightarrow F_b=0.6* 0.2* nsin30\\\Rightarrow F_r=0.06n`

`F_(be)=A_(be)sin\theta n\\\Rightarrow F_b=0.6* 0.3* nsin30\\\Rightarrow F_r=0.09n`

The roof has the maximum flux