Answer to Question #173373 in Mechanical Engineering for luke

Question #173373

A long, solid cylinder of radius 2 ft hinged at point A is used as an automatic gate, as shown

in the figure. When the water level reaches 15 ft, the cylindrical gate opens by turning about the

hinge at point A. Determine

(a) The hydrostatic force, in lbf, acting on the cylinder and its line of action when the gate

opens and

(b) The weight, in lbf, of the cylinder per ft length of the cylinder.


1
Expert's answer
2021-03-22T08:37:25-0400

radius of sphere is =2 ft, Water level=15 ft, density= 62.4 lbs/ft3




Horizontal force= "\\rho g h_c A= 62.4\\times 32.174\\times (13+2\/2)\\times 2\\times 1=56214.42"  lb-ft/s²

Now, vertical force ="\\rho g h A= 62.4 \\times 32.174 \\times 15\\times 2\\times 1=60229.73" lb-ft/s2


Net force on sphere= "\\sqrt{F_X^2 +F_y^2}=82387.38" lb-ft/s2

(b) Weight of fluid=mg= "\\rho g V"

Weight ="62.4\\times 32.174\\times (R^2- \\frac{\\pi R^2}{4})=62.4\\times 32.174\\times (1- \\pi\/4)2^2=" 1726.58 lbf


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS