Calculate Hydrostatic Force on 4x3 ft Triangle in 6 ft Tank

phil45
Messages
1
Reaction score
0
A tank that is filled 6 feet deep with water has a 4x3 foot, right triangular plate submerged into it so the 3 foot side is parallel to the bottom of the tank. The top of the triangle is one foot below the surface. Calculate the hydrostatic force on one of it's sides. The density of water is approximately 62.5 lbs/ft^2.


I went through it once and got 1375 lbs, but I'm not sure if that is correct
 
Physics news on Phys.org
Since you don't show any work at all, I can only say, no, I don't get anything like that. How did you get that answer?
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top