Question

A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 12 ft.

Answer 1

Answer:

(a) 1408366$\frac{lb*feet}{sec^{2} }$

(b) 448524 $\frac{lb*feet}{sec^{2} }$

Step-by-step explanation:

Pressure on a vertical surface by a static non-viscous fluid is =Pressure at center of mass of the surface *Area of surface covered by fluid.

A) acceleration due to gravity =9.8*3.38

   Radius =6

   So pressure at center of circular plate =density*g*R

      Total force =density*g*R*Area = 1408366 $\frac{lb*feet}{sec^{2} }$

B) Here center of mass of semicircle sector is at $\frac{2*R}{\pi }$ from center.

 So pressure at center of mass of semicircle =$\frac{2*R}{\pi }$*density*9.8*3.38

 Net force =$\frac{2*R}{\pi }$*density*9.8*3.38*Area of semicircle =448524 $\frac{lb*feet}{sec^{2} }$