## Door and energy efficiency

 Quote by luis20 Thanks! How did you get (pi^2)/8?

By mistake... I dropped a 2 exponent along the way. It's actually (pi^2)/12, so the hinged door is better.
Calculate the kinetic energy of the two doors. The one for the rotating door is $\frac{1}{2}Iω^{2}$ where $I=\int^{l}_{0}ρx^{2}dx$ with ρ linear density and $l$ width of the door.
I was writing a lengthier answer when I hit something on the page and lost it all so you'll forgive me if I let you do the details :)

Recognitions:
Homework Help