The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve y=0.5 x^2 and below the line y= 160. (Here, distances are measured in meters.) The water level is 22 meters below the top of the dam. Find the force (in Newtons) exerted on the dam by water pressure. (Water has a density of 1000 kg/m^3, and the acceleration of gravity is 9.8 m/sec^2 .)(adsbygoogle = window.adsbygoogle || []).push({});

F(x) = density of fluid* Volume displaced *g = 1000*9.8*volume displaced

so what is my volume displaced? is it simply .5 *x^2 -160 ??

and what integral do I do? are my limits of integration from 0 to 22?

thank you!!

blumfeld0

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Finding the force using calculus

**Physics Forums | Science Articles, Homework Help, Discussion**