Physics Application: A rectangular dam is 104 ft long and 52 ft high.

[calc_help105]

A rectangular dam is 104 ft long and 52 ft high. If the water is 39 ft deep, find the force of the water on the dam (the density of water is 62.4 lb/ft[FONT=MathJax_Main]3[/FONT]).

I'm having trouble setting up the integral.

My work so far:

Force = Pressure * Area (F=PA)

A = 5408*delta x
P=39*62.4=2433.6, I'm pretty sure I should be integrating from 13 to 39.

Thanks.

 

[mathprogram]

Hey, are you sure an integral is necessary

Because the formula for Pressure= ρgh, ula where p is the density of the fluid, g is the force due to graivty, and h is the depth.

Therefore, if you compute this, you find the pressure.

You then would need to just calculate the area. I don't think the area changes. Or the pressure. So I'm not sure you need an integral. I could be wrong, though.