Question: (b) A rectangular gate is located at the bottom of the tank. The gate is hinged at thetop and is 0.8 m tall and 2 m wide, as illustrated in Figure Q2.2. The water depthis 2.1 m . The specific weight of water γw=9790Nm3.i. Determine the centre of pressure on the gate assuming that the pressureat the free surface is patm =1atm.ii. Using your result in

$($b$)$ A rectangular gate is located at the bottom of the tank. The gate is hinged at the

top and is $0\mathrm{.}8$ m tall and $2$ m wide, as illustrated in Figure Q$2\mathrm{.}2.$ The water depth

is $2\mathrm{.}1$ m $.$ The specific weight of water ${\gamma }_w=9790\frac{N}{m^3}.$

i$.$ Determine the centre of pressure on the gate assuming that the pressure

at the free surface is $p_{\text{a}\text{t}\text{m}}=1$atm.

ii$.$ Using your result in $($i$),$ determine the force acting on the gate that comes

from the water.

iii. Use the above results to determine the force that must be applied to the

bottomt of the gate to keep the gate closed.

iv$.$ Determine the force that needs to be applied at the bottom of the gate to

keep it closed if the pressure at the free surface is changed to $p_{\text{a}\text{t}\text{m}}=1\mathrm{.}5$

atm $.$

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