HGE PART 1

 A pressure gage at elevatiom 6m at the side of a tank containing a liquid reads 80kPa. Another gage at elevation 4m reads 100kPa. What is the specifiv gravity of the liquid?

 A block of wood floats in water with 20cm projecting above the water surface. If placed in oil (SG = 0.80), it will float with 15cm projecting above the oil surface. What is the height of the block?

A vertical triangular gate with top base horizontal is 1.5m wide and 3m high. It is submerged in oil in (SG = 0.82) with its top base submerged to a depth of 2m. Determine the magnitude of the total hydrostatic force acting on one side of the gate.

A vertical triangular gate with top base horizontal is 1.5m wide and 3m high. It is submerged in oil in (SG = 0.82) with its top base submerged to a depth of 2m. Determine location of the total hydrostatic force acting on one side of the gate.

An open cylindrical tank 2m in diameter and 4m high contains water to a depth of 3m. It is rotated about its own vertical axis with a constant speed ω. Note: Volume of parabola = (π/4)D^2H; D= diameter, H= height of paraboloid. What maximum value of ω (in rpm) can be imposed without spilling any liquid?

An open cylindrical tank 2m in diameter and 4m high contains water to a depth of 3m. It is rotated about its own vertical axis with a constant speed ω. Note: Volume of parabola = (π/4)D^2H; D= diameter, H= height of paraboloid. If ω = 8 rad/s, how much water is spilled out (in cubic meter)?

An open cylindrical tank 2m in diameter and 4m high contains water to a depth of 3m. It is rotated about its own vertical axis with a constant speed ω. Note: Volume of parabola = (π/4)D^2H; D= diameter, H= height of paraboloid. If ω = 8 rad/s, to what depth will the water stand when brought to rest?

Kerosene (SG = 0.82) flows through the pump shown in Figure 1 at 0.07m^3/s. Head losses between 1 and 2 are 0.7m, and the pump delivers 8hp to the flow. Hint: 1 hp = 746W. What is the head delivered by the pump?

Kerosene (SG = 0.82) flows through the pump shown in Figure 1 at 0.07m^3/s. Head losses between 1 and 2 are 0.7m, and the pump delivers 8hp to the flow. Hint: 1 hp = 746W. What should be the mercury manometer reading h be?

The long pipe shown in Figure 2 is filled with water. When valve A is closed, the pressure difference between points 1 and 2 is 75 kPa. When the valve is open and water flows at 250m^3.h, the differencerises up to 160 kPa. Find the frictional head loss between points 1 and 2. 

A sluice gate is in the form of a circular arc of radius 6m as shown in Figure 3. Determine the horizontal component of the force on the gate per unit length.

A sluice gate is in the form of a circular arc of radius 6m as shown in Figure 3. Determine the vertical component of the force on the gate per unit length.

A sluice gate is in the form of a circular arc of radius 6m as shown in Figure 3. Determine the resultant of the gate.

A sluice gate is in the form of a circular arc of radius 6m as shown in Figure 3. Determine the inclination of the resultant with respect to the horizontal.

A sluice gate is in the form of a circular arc of radius 6m as shown in Figure 3. The line of action of the resultant passes through.

 The gate in Figure 4 is 5ft wide, is hinged at point B, and rests against a smooth wall at point A. Determine the force on the gate due to seawater pressure

 The gate in Figure 4 is 5ft wide, is hinged at point B, and rests against a smooth wall at point A. Determine the distance between the center of gravity and center of pressure.

 The gate in Figure 4 is 5ft wide, is hinged at point B, and rests against a smooth wall at point A. Determine the horizontal force P exerted by the wall at point A.

 The gate in Figure 4 is 5ft wide, is hinged at point B, and rests against a smooth wall at point A. Determine the horizontal force P exerted by the wall at point A.

 The gate in Figure 4 is 5ft wide, is hinged at point B, and rests against a smooth wall at point A. Determine the horizontal reaction at hinge B.

The three reservoirs A, B, and C, shown in Figure 5, are connected by pipelines A, B, and C, respectively. The elevation of reservoir A is 200m while that of C is 178. The discharge flowing towards reservoir B is 0.75m^3/s. Reservoir B is higher than that of C.  What is the rate of flow out of reservoir A in m^3/s?

The three reservoirs A, B, and C, shown in Figure 5, are connected by pipelines A, B, and C, respectively. The elevation of reservoir A is 200m while that of C is 178. The discharge flowing towards reservoir B is 0.75m^3/s. Reservoir B is higher than that of C.  What is the rate of flow towards reservoir C in m^3/s?

The three reservoirs A, B, and C, shown in Figure 5, are connected by pipelines A, B, and C, respectively. The elevation of reservoir A is 200m while that of C is 178. The discharge flowing towards reservoir B is 0.75m^3/s. Reservoir B is higher than that of C. What is the elevation of reservoir B in meters?

A discharge of 1.2m^3/s flows on an open channel with a slope of 0.0062 and a coefficienr of roughness of 0.012. What is the depth of the channel for a most-efficient semi-circular section in meters?

A discharge of 1.2m^3/s flows on an open channel with a slope of 0.0062 and a coefficienr of roughness of 0.012. What is the depth of the channel for a most-efficient rectangular section in meters?

A discharge of 1.2m^3/s flows on an open channel with a slope of 0.0062 and a coefficienr of roughness of 0.012. 26. What is the depth of the channel for a most-efficient triangular section in meters?

After a heavy downpour the depth of water over a weir was 2.5m. The total volume of discharge through the weir was 1.15x10^6m^3. How long (in minutes) will the flow over the weir last if a Cipoletti weir with a length of 235m is used?

After a heavy downpour the depth of water over a weir was 2.5m. The total volume of discharge through the weir was 1.15x10^6m^3. How long (in minutes) will the flow over the weir last if a contracted weir is used with a length of 235m is used?

A 20-horsepower suction pump operating at 70% efficiency draws water from a suction line whose diameter is 200 mm and discharges into air through a line whose diameter is 150 mm as shown in Figure 6. The velocity in the 150 mm line is 3.6 m/s. The pressure at point A in the suction pipe is −34 kPa (the pressure is below the atmospheric pressure) and is 1.8 m below B. The head losses from A to B is 3 m and from B to C is 3 m. (1 hp = 0.746 kW or kN·m/s). What is the energy added by the pump in meters?

A 20-horsepower suction pump operating at 70% efficiency draws water from a suction line whose diameter is 200 mm and discharges into air through a line whose diameter is 150 mm as shown in Figure 6. The velocity in the 150 mm line is 3.6 m/s. The pressure at point A in the suction pipe is −34 kPa (the pressure is below the atmospheric pressure) and is 1.8 m below B. The head losses from A to B is 3 m and from B to C is 3 m. (1 hp = 0.746 kW or kN·m/s). What is the pressure at point B in kPa?

 Consider an open chanel with a rectangular cross section. The channel has a width of 4m, slope of 0.005, and roughness coefficient of 0.030m^(-1/3)s. If the depth of flow is 2m, what is the hydraulic radius of the channel?

 Consider an open chanel with a rectangular cross section. The channel has a width of 4m, slope of 0.005, and roughness coefficient of 0.030m^(-1/3)s. What is the corresponding discharge in the channel?

 Consider an open chanel with a rectangular cross section. The channel has a width of 4m, slope of 0.005, and roughness coefficient of 0.030m^(-1/3)s. What is the critical depth of the channel?

A steel pipe 1500 m long placed on a uniform slope has a 0.5-m diameter and 5-cm wall thickness as shown in Figure 7. The pipe carries water from a reservoir and discharges it into the air at an elevation 50 m below the reservoir free surface. A valve installed at the downstream end of the pipe allows a flow rate of 0.8 m³/s. The valve is completely closed in 2.4 seconds. Note: Neglect longitudinal stresses. Use E(water) = 2.17x10^9 N/m^2 and E(p) = 1.9x 10^11 N/m^2. Use a Darcy friction factor 0.0129. Which of the following gives the wave speed of the fluid?

A steel pipe 1500 m long placed on a uniform slope has a 0.5-m diameter and 5-cm wall thickness as shown in Figure 7. The pipe carries water from a reservoir and discharges it into the air at an elevation 50 m below the reservoir free surface. A valve installed at the downstream end of the pipe allows a flow rate of 0.8 m³/s. The valve is completely closed in 2.4 seconds. Note: Neglect longitudinal stresses. Use E(water) = 2.17x10^9 N/m^2 and E(p) = 1.9x 10^11 N/m^2. Use a Darcy friction factor 0.0129. What is the increase in pressure caused by the water hammer?

A steel pipe 1500 m long placed on a uniform slope has a 0.5-m diameter and 5-cm wall thickness as shown in Figure 7. The pipe carries water from a reservoir and discharges it into the air at an elevation 50 m below the reservoir free surface. A valve installed at the downstream end of the pipe allows a flow rate of 0.8 m³/s. The valve is completely closed in 2.4 seconds. Note: Neglect longitudinal stresses. Use E(water) = 2.17x10^9 N/m^2 and E(p) = 1.9x 10^11 N/m^2. Use a Darcy friction factor 0.0129. What is the total pressure at the valve?

. A hydroelectric power plant shown in Figure 8 takes in 30m^3/s of water through its turbine and discharges it to the atmosphere at V2= 2m/s. The total head lost in the system is 20m. What is the energy head produced in the turbine in meters?

. A hydroelectric power plant shown in Figure 8 takes in 30m^3/s of water through its turbine and discharges it to the atmosphere at V2= 2m/s. The total head lost in the system is 20m. What is the power generated by the turbine in MW?

A tank filled with water has an orifice placed 5.50m below the water surface. The tank is placed in the platform where the orifice is located 1.50m from the ground. The coefficient of discharge is equal to 0.62, the coefficient of contraction is equal to 0.65 and the diameter of the origice is 45mm. What is the velocity of flow in the orifice on m/s?

A tank filled with water has an orifice placed 5.50m below the water surface. The tank is placed in the platform where the orifice is located 1.50m from the ground. The coefficient of discharge is equal to 0.62, the coefficient of contraction is equal to 0.65 and the diameter of the origice is 45mm.What is the horizontal distance from the orifice that the water jet will strike the ground?

The pipe connection shown in Figure 9 is a series-parallel connection. The rate of flow in pipeline E is 310 L/s. Consider f = 0.0115 for all pipes and use Darcy-Weisbach equation for the head loss due to friction. What is the discharge in pipeline B in m^3/s?

The pipe connection shown in Figure 9 is a series-parallel connection. The rate of flow in pipeline E is 310 L/s. Consider f = 0.0115 for all pipes and use Darcy-Weisbach equation for the head loss due to friction. What is the discharge in pipeline C in m^3/s?

The pipe connection shown in Figure 9 is a series-parallel connection. The rate of flow in pipeline E is 310 L/s. Consider f = 0.0115 for all pipes and use Darcy-Weisbach equation for the head loss due to friction. What is the discharge in pipeline D in m^3/s?

Three pipes with their corresponding diameters shown in Figure 10 steadily deliver water to a large exit pipe. The velocity V2, at the pipe with diameter D2 is 3.5m/s, and the exit flow rate Q4 = 100 m^2/hr in the pipe with diameter D4. What is the velocity of water in the pipe with diamerer D3 (in m/s) if it is known that Q3 is only half of Q4?

Three pipes with their corresponding diameters shown in Figure 10 steadily deliver water to a large exit pipe. The velocity V2, at the pipe with diameter D2 is 3.5m/s, and the exit flow rate Q4 = 100 m^2/hr in the pipe with diameter D4. What is the velocity of water in the pipe with a diameter of D1 in m/s?

A fluid has a mass of 500kg is placed in a container with a volume of 0.325m^3. What is the density of the fluid in kg/m^3?

A fluid has a mass of 500kg is placed in a container with a volume of 0.325m^3. What is the unit weight of the fluid in kN/m^3?

A tank contains oil (SG = 0.80), gasoline (SG = 0.90), and seawater (SG = 1.03). The depths of the fluids are 0.5m, 0.8m, and 1m for oil, gasoline, and seawater, respectively. What is the pressure at a depth of 1.2m in kPa?

The triangular gate shown in figure 11 is hinged at B. Use γw = 9.79 kN/m^3. What is the magnitude of the hydrostatic force acting on the gate in kN?

The triangular gate shown in figure 11 is hinged at B. Use γw = 9.79 kN/m^3. What is the magnitude of the force P required to hold the gate in kN?

 A reservoir of glycerin has a mass of 1200kg and a volume of 0.952m^3.What is the density on glycerin in kg/m^3?

 A reservoir of glycerin has a mass of 1200kg and a volume of 0.952m^3.What is the unit weight of glycerin in kN/m^3?

 A reservoir of glycerin has a mass of 1200kg and a volume of 0.952m^3.What is the scpecific gravity of glycerin?

Water flows at a rate of 140L/s through the system shown in Figure 12. What is the velocity at point 2 in m/s?

Water flows at a rate of 140L/s through the system shown in Figure 12. What is the pressure head at point 2 in meters?

Water flows at a rate of 140L/s through the system shown in Figure 12. What is the head loss between points 2 and 3 in meters?

 The moist soil sample has the following properties: Volume = 1.2 m³, Mass = 2350 kg, moisture content = 8.6%, and Gs = 2.71. What is the void ratio?

 The moist soil sample has the following properties: Volume = 1.2 m³, Mass = 2350 kg, moisture content = 8.6%, and Gs = 2.71. What is the dry unit weight of the soil in kN/m³?

 The moist soil sample has the following properties: Volume = 1.2 m³, Mass = 2350 kg, moisture content = 8.6%, and Gs = 2.71. What is the degree of saturation of the soil?

Figure 13 shows a layer of sandy soil in a tank with an upward seepage by applying water through the valve at the bottom of the tank. The sand has a void ratio of 0.52 and the specific gravity of solids is 2.67.What is the saturated unit weight of the sand in kN/m³?

Figure 13 shows a layer of sandy soil in a tank with an upward seepage by applying water through the valve at the bottom of the tank. The sand has a void ratio of 0.52 and the specific gravity of solids is 2.67.What is the effective stress (in kPa) at point A?

Figure 13 shows a layer of sandy soil in a tank with an upward seepage by applying water through the valve at the bottom of the tank. The sand has a void ratio of 0.52 and the specific gravity of solids is 2.67.What is the effective stress (in kPa) at point B?

A pumping test was made in a sand layer extending to a depth of 15.0 m until it reach an impermeable layer. The initial ground water table is located 2.0 m below the ground surface. Observation wells were sighted at distances 3.0 m and 7.5 m from the pumping well. Using a discharge of 0.4 m³/hr, a steady level is attained at the pumping well. The measured drawdowns at the two observation wells are 1.5 m and 0.35 m, respectively. What is the height of water at the farthest observation well in meters?

A pumping test was made in a sand layer extending to a depth of 15.0 m until it reach an impermeable layer. The initial ground water table is located 2.0 m below the ground surface. Observation wells were sighted at distances 3.0 m and 7.5 m from the pumping well. Using a discharge of 0.4 m³/hr, a steady level is attained at the pumping well. The measured drawdowns at the two observation wells are 1.5 m and 0.35 m, respectively. What is the hydraulic conductivity of soil in cm/hr?

A pumping test was made in a sand layer extending to a depth of 15.0 m until it reach an impermeable layer. The initial ground water table is located 2.0 m below the ground surface. Observation wells were sighted at distances 3.0 m and 7.5 m from the pumping well. Using a discharge of 0.4 m³/hr, a steady level is attained at the pumping well. The measured drawdowns at the two observation wells are 1.5 m and 0.35 m, respectively. What is the transmissivity of aquifer in m²/hr?

A square footing has its bottom at a depth of 3.0 m from the ground surface. Groundwater table is located at a depth of 2.25 m below the ground. It was determined that the footing’s gross allowable bearing capacity was 87.806 kPa using Terzaghi’s bearing capacity equation with a factor of safety of 4 and considering a local shear failure mode. N'c = 11.85, N;q = 3.88, N'γ = 1.12. (Soil properties γ = 18.10kN/m³, γsat = 19.50kN/m³, c = 15.74 kPa, Φ = 20°.

Calculate the size of the footing.

A square footing has its bottom at a depth of 3.0 m from the ground surface. Groundwater table is located at a depth of 2.25 m below the ground. It was determined that the footing’s gross allowable bearing capacity was 87.806 kPa using Terzaghi’s bearing capacity equation with a factor of safety of 4 and considering a local shear failure mode. N'c = 11.85, N;q = 3.88, N'γ = 1.12. (Soil properties γ = 18.10kN/m³, γsat = 19.50kN/m³, c = 15.74 kPa, Φ = 20°.

What is the ultimate bearing capacity of the soil in kPa?

A square footing has its bottom at a depth of 3.0 m from the ground surface. Groundwater table is located at a depth of 2.25 m below the ground. It was determined that the footing’s gross allowable bearing capacity was 87.806 kPa using Terzaghi’s bearing capacity equation with a factor of safety of 4 and considering a local shear failure mode. N'c = 11.85, N;q = 3.88, N'γ = 1.12. (Soil properties γ = 18.10kN/m³, γsat = 19.50kN/m³, c = 15.74 kPa, Φ = 20°.

What is the net allowable bearing capacity of the soil in kPa?

 A dry soil is mixed with water and compacted. The water content of the soil was 17%. The wet soil has a volume of 0.001 m³ and a mass of 1.6 kg. The specific gravity of soil solids is found to be 2.7.

What is the dry unit weight of the soil in kN/m³?

 A dry soil is mixed with water and compacted. The water content of the soil was 17%. The wet soil has a volume of 0.001 m³ and a mass of 1.6 kg. The specific gravity of soil solids is found to be 2.7.

What is the void ratio of the soil?

 A dry soil is mixed with water and compacted. The water content of the soil was 17%. The wet soil has a volume of 0.001 m³ and a mass of 1.6 kg. The specific gravity of soil solids is found to be 2.7.

 What is the degree of saturation of the soil?

. A cut is made in a saturated clay that is underlain by a layer of sand as shown in Figure 14. The saturated unit weight of clay is 19 kN/m³ and that of sand is 18 kN/m³.

What should be the height (in meters) of the water, h, in the cut so that the stability of clay is not lost?

. A cut is made in a saturated clay that is underlain by a layer of sand as shown in Figure 14. The saturated unit weight of clay is 19 kN/m³ and that of sand is 18 kN/m³.

What is the total stress (in kPa) at the bottom of the clay layer considering that the maximum height of water in the cut is present?

. A cut is made in a saturated clay that is underlain by a layer of sand as shown in Figure 14. The saturated unit weight of clay is 19 kN/m³ and that of sand is 18 kN/m³.

What is the effective stress (in kPa) at the bottom of the sand layer if the stability of the clay is not lost?

 A circular footing having a diameter of 1.2 m has its bottom at a depth of 2.8 m from the ground surface. The water table is located at a depth of 1.20 m below the ground. The soil has the following properties: γd = 18.10kN/m³, γsat = 19.30kN/m³, c = 15.74 kPa, Nc = 35, Nq = 22, Nγ = 19. 

Assuming general shear failure, find the ultimate bearing pressure using Terzaghi’s equation.

 A circular footing having a diameter of 1.2 m has its bottom at a depth of 2.8 m from the ground surface. The water table is located at a depth of 1.20 m below the ground. The soil has the following properties: γd = 18.10kN/m³, γsat = 19.30kN/m³, c = 15.74 kPa, Nc = 35, Nq = 22, Nγ = 19. 

What is the net allowable load on the footing using a factor of safety of 3?

A masonry wall is to be constructed on a 6-meter thick clay layer that overlies impervious rock. A laboratory test that simulated the field conditions shows the void ratio of the soil before and after application of the load are 0.91 and 0.89, respectively. What is the settlement of the structure in mm?

An unconsolidated-undrained triaxial test was conducted on a sample of saturated clay. The results showed that σ3 = 123kN/m^2 and deviator stress = 456kN/m^2 when failure occurred. What is the shear strength of the clay sample in kPa?

 In a falling head permeability test, the following data were obtained:

Length of soil specimen = 40cm

Area of soil specimen = 1325 cm²

Area of standpipe = 0.375 cm²

Head difference at t = 0 = 95cm

Head difference at t = 15 mins = 82cm

What is the hydraulic conductivity of soil in mm/hr?

 In a constant head permeability test, the following data were obtained:

Length of soil specimen = 30cm

Area of soil specimen = 175 cm²

Constant head difference = 50cm

Water collected in 3mins = 620 cm³

What is the hydraulic conductivity of soil in cm/min?

A consolidated-undrained triaxial test was done on two samples of cohesive soil.

What is the angle of internal friction of the cohesive soil?

A consolidated-undrained triaxial test was done on two samples of cohesive soil.

What is the cohesion of the cohesive soil in kPa?

A consolidated-undrained triaxial test was done on two samples of cohesive soil.

What is the shear stress at failure of sample 1 in kPa? 

A concrete retaining wall is shown in Figure 15. Consider an active lateral earth pressure and neglect the effect of earthquake. Use γ_concrete = 23.6 kN/m³.

What is the righting moment of the wall in kN-m per meter of the wall?

A concrete retaining wall is shown in Figure 15. Consider an active lateral earth pressure and neglect the effect of earthquake. Use γ_concrete = 23.6 kN/m³.

What is the overturning moment of the wall in kN-m per meter of the wall?

A concrete retaining wall is shown in Figure 15. Consider an active lateral earth pressure and neglect the effect of earthquake. Use γ_concrete = 23.6 kN/m³.

What is the value of the factor of safety against overturning of the wall?

A cut slope is to be made in which the unit weight of soil is 20 kN/m³, the angle of internal friction is 25°, and the cohesion is 25 kPa.

The cut slope has a height of 15 m and makes an angle of 28° with the horizontal.

Consider that the trial failure plane is 15° from the horizontal.

 What is the weight of soil (in kN) above the trial failure plane?

A cut slope is to be made in which the unit weight of soil is 20 kN/m³, the angle of internal friction is 25°, and the cohesion is 25 kPa.

The cut slope has a height of 15 m and makes an angle of 28° with the horizontal.

Consider that the trial failure plane is 15° from the horizontal.

What is the value of the frictional force (in kN)?

A cut slope is to be made in which the unit weight of soil is 20 kN/m³, the angle of internal friction is 25°, and the cohesion is 25 kPa.

The cut slope has a height of 15 m and makes an angle of 28° with the horizontal.

Consider that the trial failure plane is 15° from the horizontal.

What is the value of the factor of safety against sliding?

 A uniformly distributed load of 142 kPa was applied at the ground surface of a site due to the construction of a building that caused the 6-meter clay layer to undergo primary consolidation settlement.

The soil stratification in the site consists of:

4-meter sand layer (γ = 16.75 kN/m³, γ_sat = 20.14 kN/m³)

Underlain by 6-m clay layer (γ_sat = 17.86 kN/m³, e₀ = 1.3, LL = 35)

The groundwater table is located at 2.5 m below the ground surface.

What is the average effective stress at the mid-height of the clay layer in kPa?

 A uniformly distributed load of 142 kPa was applied at the ground surface of a site due to the construction of a building that caused the 6-meter clay layer to undergo primary consolidation settlement.

The soil stratification in the site consists of:

4-meter sand layer (γ = 16.75 kN/m³, γ_sat = 20.14 kN/m³)

Underlain by 6-m clay layer (γ_sat = 17.86 kN/m³, e₀ = 1.3, LL = 35)

The groundwater table is located at 2.5 m below the ground surface.

What is the value of the swell index if it is considered to be 30% of the compression index?

 A uniformly distributed load of 142 kPa was applied at the ground surface of a site due to the construction of a building that caused the 6-meter clay layer to undergo primary consolidation settlement.

The soil stratification in the site consists of:

4-meter sand layer (γ = 16.75 kN/m³, γ_sat = 20.14 kN/m³)

Underlain by 6-m clay layer (γ_sat = 17.86 kN/m³, e₀ = 1.3, LL = 35)

The groundwater table is located at 2.5 m below the ground surface.

What is the primary consolidation settlement (in mm) of the clay layer if the preconsolidation pressure was 185 kPa?

How much pressure will it take 1.25 m³ of water to reduce to 1 m³ given that its elasticity is 2 GPa?

Find the capillary rise when a semi-circular tube with a diameter of 2.4 mm is placed on a container of water with a specific weight of 9,810 N/m³ and a surface tension of 0.065 N/m.

 A U-tube manometer shown in Figure 16 is used to obtain the specific weight of a fluid by placing a volume of 2 cm³ on the manometer next to water. The diameter of the tube is 0.5 cm. The specific weight of water is 9,810 N/m³.

 What is the depth h in the tube?

 A U-tube manometer shown in Figure 16 is used to obtain the specific weight of a fluid by placing a volume of 2 cm³ on the manometer next to water. The diameter of the tube is 0.5 cm. The specific weight of water is 9,810 N/m³.

Which of the following is nearest to the specific weight (in N/m³) of the fluid placed next to the water?

 A 5-kg rectangular prism with a length of 40 cm, a width of 20 cm, and a height of 10 cm is partially submerged in water. How much of the prism is submerged in the water? The specific weight of water is 9,790 N/m³.

Consider the 0.15-m diameter cylindrical tank shown in Figure 17 with a 0.01-m diameter orifice at the bottom. It is supplied with water at an unknown rate. Let h be the depth of the water inside the tank that is equal to 0.3 m at the instant shown. The speed at the outlet is given by v = (2gh)^1/2

.

 If the time rate of increase of the fluid depth is 0.0005 m/s, what is the inflow rate (in m³/s) in the tank?

Consider the 0.15-m diameter cylindrical tank shown in Figure 17 with a 0.01-m diameter orifice at the bottom. It is supplied with water at an unknown rate. Let h be the depth of the water inside the tank that is equal to 0.3 m at the instant shown. The speed at the outlet is given by v = (2gh)^1/2

.

At what depth h (in m) will the flow be steady?

 A consolidated-drained triaxial test was done on a sample of cohesive soil. The following results were obtained: chamber pressure = 50kPa, deviator stress = 270kPa, and angle of internal friction = 24°

What is the soil's cohesion in kPa?

 A consolidated-drained triaxial test was done on a sample of cohesive soil. The following results were obtained: chamber pressure = 50kPa, deviator stress = 270kPa, and angle of internal friction = 24°

 What is the soil's normal stress at failure in kPa?

 A consolidated-drained triaxial test was done on a sample of cohesive soil. The following results were obtained: chamber pressure = 50kPa, deviator stress = 270kPa, and angle of internal friction = 24°

What is the soil's shear stress at failure in kPa?