Water is filled to a height H in a dam-with a stopping wall of width \[\omega .\] |
Force on face of dam is (take,\[g=10\,m{{s}^{-\,2}}\]) |
A) \[\omega \rho g{{H}^{2}}\]
B) \[\frac{2}{3}\omega \rho g{{H}^{2}}\]
C) \[\frac{1}{2}\rho g\omega {{H}^{2}}\]
D) \[\frac{1}{3}\omega \rho g{{H}^{2}}\]
Correct Answer: C
Solution :
Force \[{{\text{P}}_{avg}}\times \text{Area}\] \[=\left( \frac{{{P}_{\text{top}}}+{{P}_{\text{bottom}}}}{2} \right)\times \text{Area}=\frac{1}{2}\rho g\omega {{H}^{2}}\]You need to login to perform this action.
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