HYDRAULCS $|2"$ QT$.$ AY $2023-2024/$DR$.$ CRIS EDWARD F$.$ MONAROIN

Gate $AB$ in Fig. is $6m$ in height and $5m$ in width.

$17.$ Using pressure prism method determine the force produced by Liquid on the right side to gate $AB.$

$18.$ Determine what should be the height on the other side of the gate to keep it in equilibrium andition

Calculate the pressure increase that must be applied to a liquid to reduce its volume by $3\%.E=1\mathrm{.}8x($:${10}^9(Pa)\}.$ Compute coefficient of compressibility.

Calculate the density of carbon dioxide at a pressure of $320k\frac{N}{m}2$ and $70C.$ Gas constant is $195\frac{J}{k}g$ K$.)=(N-m$

A water column in a glass tube is used to measure the pressure in a pipe. The tube is a $(5\mathrm{.}5mm)$ in diameter. How high is water column due to surfacetension effects? $=0\mathrm{.}073\frac{N}{m}$

A tank of oil has a mass of $40$ slugs with a volume of $3\mathrm{.}9m^3.$

Determine its weight in pounds at the earth's surface.

What would be its Specific Weight in SI unit. $(1$ slug $=14\mathrm{.}6kg)$

From the figure shown, the piston and the weight $W$ are at the same elevation. The face of the piston has an area of $13cm2$ while that of the weight is $130cm2.$ The intervening passages are filled with oil having sp gr$.$ Of $0\mathrm{.}8.$

What weight can be supported by a force of $45kg$ applied at the end of the lever shown.

What is the force being applied in the smaller piston.

Water and oil $)=(0\mathrm{.}750$ in an open storage tank are in contact with the end wall as shown in the figure.

Calculate the hydrostatic force on the rectangular part of the end wall.

Calculate the hydrostatic force on the semicircular part of the end wall.

Calculate the depth of its center of pressure.

The top part of a container has a gage reading of $-15\mathrm{.}10$kPa $($vacuum pressure$)$ as shown.

What is the elevation of water in the piezometer tapped in $m?$

What is the deflection $"$h$"$ of mercury in the U$-$tube manometer in $mm?$

What is the pressure at the bottom surface of the container in kPa $?$

Gate $AB$ in the figure below is a quarter arc of circle with radius $1m$ and width of $3m.$

Determine the Horizontal Component

Determine Vertical Component

Determine also the location of the resultant force with respect to vertical axis.

Based on the figure below. The metal dome and pipe weigh $8kN.$ The dome has no bottom. Here $l=90cm.$ Remember the principles of hydrostatic forces on curve surfaces.

Calculate the total uplift force.

What force must be exerted through the bolts to hold the dome in place? hold the dome in place?