Find the position of centre of buoyancy for a wooden block of width 5 m and depth 1 m, when it floats horizontally in water. The density of wooden block id 850 kg/m3 and its length 4.0 m.
Q: The tank contains water and immiscible oil at 20°C. Calculate h if the density of the oil is 898…
A: Solution:
Q: A vertical gate 6 m x 6 m holds water on one side with the free surface at its top. The moment about…
A: Height of the gate is, h=6 m. Breadth of the gate is, b=6 m. Area of cross section of the vertical…
Q: Determine the resultant hydrostatic force (FR) in lbf on the elliptical viewing window of an…
A:
Q: Q4. A 2 mm diameter clean glass tube is inserted in water at 20 °C. Determine the height that the…
A:
Q: an oil tank is in the shape of a right circular cylinder with a radius of r meters and its axis is…
A:
Q: Consider the gate shown The gate has a width of 1 m. ρw = 1.0 Mg/m^3. Suppose that a = 2.5 m, b =…
A:
Q: 7. A cube is floating between two separated liquids as shown in figure below. Determine the density…
A: Given data: SG1=0.8SG2=1.2 Need to determine the density of the cube.
Q: A block of wood is 30 cm log and has a square vertical section 15 cm on the edge. For it to float in…
A:
Q: Let x = a(t-sint), y = a(1-cost), 0 ≤ t ≤π , a > 0 cycloid and the density function of the mass of…
A: Pappus-Guldin theorem shows that the area of the base multiple by the circle's circumference around…
Q: block of wood floats in water with 2 inches projecting above the water surface. When placed in…
A: given:for water wood float from free surface h1=2infor glycerin wood float from free surface…
Q: A piece of steel wire, which is 3 m long, and of 1 mm diameter hangs vertically from the ceiling. A…
A: According to Archimedes' Principle or Principle of Buoyancy, when a body is immersed in a fluid or…
Q: 1. In the figure shown, a vertical triangular gate submerged in a certain liquid with s.g. = 0,85.…
A: GIVEN :- A vertical triangular gate.s.g.=0.85e=150 mmρ=850 kg/m3h=2.7 mb=1.2 m SOLUTION :- here,…
Q: Find the capillary action in ft of mercury in a glass capillary tube having a diameter of 3mm if the…
A:
Q: Determine the resultant hydrostatic force acting on the submerged rectangular plate P,P. Plate has…
A: As per given question we have answered Above question
Q: 4. The figure on the right shows a gate for a dam enclosing a seawater (S.G. 1.03) which is having a…
A: given; ⇒specific gravity (SG)=1.03⇒radius of gate (R)=1m⇒width of gate (w)=0.7m
Q: A plane is fitted with pontoons for operation on lakes. As it taxies out for take-off, the plane…
A:
Q: The empty steel cylinder in Figure below floats in the position shown. What is cylinder mass in 3 ст…
A: The given figure
Q: 3. Compute the probable density of a fluid inside a floating spherical balloon having a 2m diameter…
A:
Q: The ABC cover in the figure is R = 270 cm in diameter and in the form of a semi-circle and its…
A: Given Data, R = Radius of the cover ABC = 270 cm = 2.7 m w= Width of the cover into the paper = 140…
Q: A fluid filled container is shown below. Oil fills the left side of the “U” to a depth of 33.0 cm…
A: given data: oil filles to depth (h)=33cm=0.33m density of oilρ=753kg/m3 radius of left side…
Q: example 1.A 30-m long dam retains 9m of water as shown in the figure. Find the total resultant force…
A:
Q: A 60 kg man escaping from a sinking ships climbs on to a 20 kg piece of wood of length 4.5 m and…
A: Given dataMass of the man mm = 60kgMass of the wood mw 20kgLength of the wood L= 4.5mThickness of…
Q: A rectangular slab of ice floats on water with a large portion submerged beneath the water surface.…
A: Given Data: The volume of the slab is, V=20 m3. The top surface area is, A=14 m2. The density of…
Q: 5.Capillary rise in the glass tube used for measuring water level is not to exceed 0.5 mm. Determine…
A:
Q: Equilibrium is reached as shown in the figure. Calculate the density of the unknown liquid in terms…
A:
Q: Derive a formula for capillary rise (h) between two concentric glass tubes of radiuses RI and R2.…
A: Given Data: Surface tension of glass tube σ=0.072 Nm Glass tube inner radius…
Q: plane is fitted with pontoons for operation on lakes. As it taxies out for take-off, the plane…
A:
Q: QUESTION 3 3.1 A rectangular pontoon has a mass of 120 x 103 kg and floats in sea water, se figure…
A:
Q: A cylindrical tank 1m in diameter and 2m high contains water at a depth of 1.6m. If it is rotated…
A:
Q: Determine the absolute pressure exerted by the seawater in kPa on the body of the diver if he…
A: Given question belongs to the subject Fluid Mechanics and can be solved using the concepts of…
Q: Seawater (density 1025 kg/m3) rests to a depth 50 m behind a vertical dam of width 80 m. Calculate…
A: Given Density = 1025 kg/m3 Depth, h = 50 m Width, b = 80 m Find Resultant force…
Q: Q2: A 2 mm diameter clean glass tube is inserted in water at 20 °C. Determine the height that the…
A:
Q: (b) The water side of the wall of a 100-m-long dam is a quarter circle with a radius of 10 m as…
A:
Q: The deepest point in any ocean is in the Mariana Trench, which is about 11 km deep, in the Pacific.…
A:
Q: a cubical block with a density of 2500 kg/m^3 fully submerged in water and tied to a box 0.3x0.6x0.9…
A:
Q: Consider the manometer exposed in the environment with a local pressure of 228.257 torrs, and the…
A: Given data Local gauge pressure = 228.257 torrs = 30431.77 PaAbsolute pressure = Local Gauge…
Q: A substance weighs 2 lbs in air and 1 lb in water. What is its weight in the moon if it is…
A: given data- weight of the substance in air = 2 lbs weight of the substance in water = 1 lb…
Q: Find a) the total force on gate AB in KN and b) the position of the center of pressure in m with…
A: Since the chambers are closed and the pressure in both the chambers must be same. we will transform…
Q: A block of 5.97 m x 3.22 x 8.1 m floats in a fluid with relative density 0.704 as shown in the…
A: Given that, Dimension of the block= 5.97 m×3.22×8.1 my=4.975 m,Relative density, S=0.704,
Q: A crane is used to lower a 0.4 m³ concrete block (density, p = 2200 kg/m³) into the sea (density, p…
A: Given data: The volume of the concrete block, V = 0.4 m3. The density of the concrete block, ρc =…
Q: 1. A vertical semi-circular area of radius r is submerged in a liquid with its diameter in the…
A: Moment of inertia of a circle about diameter is: πd464 Moment of inertia of two half circle diameter…
Q: How do you find the external forces' resultant?
A: The hinge at A gives the horizontal and the vertical reaction and the roller at B give only the…
Q: A cube of steel 0.3 m on each side floats in mercury. Using specific gravities of steel and mercury…
A:
Q: Determine the total pressure on a circular plate of diameter 1.5m which is placed vertically in…
A: Given: diameter of circular plate is d=1.5 m distance from the free surface to the centre of the…
Q: Q: A steel ball of radius (7 cm) is immersedin water and displaced a volume of (0.03 m). The…
A: GIVEN DATA - VOLUME DISPLACED V=0.03m3 WE HAVE TO FIND BUOYANT FORCE
Q: A vertical rectangular plate with a width of 16 m and a height of 12 m is located 4 m below a water…
A: Given:
Q: The flat square of side length 2 m is submerged vertically in water, 2 m below the surface as…
A: GIVEN DATA - FLAT SQUARE PLATE GIVEN 2m*2m WEIGHT DENSITY OF WATER =9810N/m3 WE HAVE TO FIND FORCE…
Q: ô FLUID 100cm Figure Q1b 200cm Fluid with weight of 25 kN is filled into a container of width 100 cm…
A: Given data, Fluid weight = 25 KN, width = 100 cm, We have to find density and specific weight of…
Step by step
Solved in 3 steps
- The 12-ft wide quarter-circular gate AB is hinged at A. Determine the contact force between the gate and the smooth surface at B due to water pressure acting on the gate. Use =62.4lb/ft3 for water.right cylindrical object has a diameter of 1526 mm and a height of 2.1m. The density of water is 1000 kg/m3. If the right cylindrical object is placed in the water, what is the buoyant force?Solve Correctly A cylinder object is suspended in a liquid at a distance of 38cm below the surface. The diameter of the object is 140cm and the density of the object is 960 kg/m3. The density ratio is 1. Determine the height of the cylinder, if the buoyant force is 7N.
- Consider the hemispherical gate attached to a cylindrical buoy as shown in the figure. The thickness of and weight of the cable connecting the buoy and the gate are negligible. Which of the following is the volume above the hemispherical gate that is needed in the calculation of the vertical component of the resultant hydrostatic force acting on it? 4m Y? 3 m Select one: O a. cylinder up to the liquid surface O b. cylinder up to the liquid surface minus the hemisphere O c. cylinder up to the bottom surface of the buoy O d. cylinder up to the bottom surface of the buoy minus the hemisphereA semicircular gate with a diameter of 6 ft is installed at 50º as shown below. The top of the gate is 5 ft below the water surface. Determine the resulting hydrostatic force and the location of the center of pressure on the gate.A ship of displacement 36000 tonne carries oil fuel in four tanks 16.0 m long and 6.0 m broad, the tanks arranged with their length in the fore and aft direction. The specific gravity of the oil is 0.84, and the density of seawater inwhich the ship is floating is 1020 kgm-3. For a ship of this size, the metacentric height is at least 500 mm. What is the reduction of the metacentric height of the ship because of the oil that is contained in the tanks and how serious is this reduction? Please discuss further your conclusions.
- A plate has the shape of a circle with radius 5 m. The plate is submerged vertically in water so that thebottom of the plate is 15 m below the surface of the water. Find the hydrostatic force exerted on the platedue to the hydrostatic pressure of the water.A door in the side of a tank is 3.1 m wide and 5.7 m high the tank is filled with oil of relative density 0.78 to a position 1m above the top of the door. What is the line of action of the force from the surface in meters.A 10 m x 15 m rectangular plate is submerged in water at 6 m. The plate is inclined at 35deg with the horizontal. The specific weight of water is given by y = 9.81 kN/m3. Obtain the resultant force of pressure on the plate.
- Determine the submerged depth of a cube of steel 0.4m on each side floating in mercury. The specific gravities of steel and mercury are 7.8 and 13.6, respectively. Find the volume of the water displaced and position of centre of buoyancy for a wooden block of width 3.0m and depth 2.0m, when it floats horizontally in water. The density of wooden block is 600kg/m³ and its length 8.0m. A rectangular pontoon is 5m long, 3m wide and 1.2m high. The depth of immersion of the pontoon is 0.8m in the sea water. If the centre of gravity is 0.6m above the bottom of the pontoon, determine the metacentric height. The density for sea water is 1025kg/m³. A block of wood of specific gravity 0.7 floats in water. Determine the metacentric height of the block if its size is 2m x 1m x 0.8m. A solid cylinder of diameter 4m has a height of 4m. Find the metacentric height of the cylinder if the specific gravity of the material of cylinder is 0.6 and it is floating in water with its axis vertical. State…A trough is full of liquid of weight density 9,000 N/m3. The ends of the trough are equilateral triangles with sides 2 m long and with vertex at the bottom. Setup the integral for the force on one end of the trough. (Hint: Put the bottom of the trough along the x-axis.)A glass tube of internal diamoter 3mm is immersed in mercury. The angle of contact of mercury with glass can be taken as 130°. What will be tho level of Hg in the tube relative to the free surface of the liquid outside the tube? Take surface tension of liquid = 0.48 N/m.