Saved Bookmarks
| 1. |
The side wall of a wide vertical vessel of height `h=75 cm` a narrow slit (vertical) running all the way down to the bottom of the vessel. The length of the slit is `l=50 cm` and the width is `b=1 mm`. With the slit closed, water is filled to the top. Find the resultant reaction force of water coming out as the slit is opened. brgt |
|
Answer» Let us consider an infinitensimal portion of length `dx` of the slit at a depth `x` below water level. Reaction force due to this portion is given by `dF=Av^(2)rho=(bdx)2gxrho` Total reaction force is `F=intdf=int_(h-t)^(h)2grhob(xdx)` `=(2grhob)/2[h^(2)-(l-h)^(2)]=grhobl(2h-l)` |
|