4 5 6 Editing 13 14 1S A Sluice gate is a device that is fitted in a sluice or fluid canal to operate and control the fluid flow. Oil flows in a canal and the sluice gate has a breadth of 8 m wide and 6 m deep. Let the oil density = 850 kg/m. Determine: the hydrostatic force (in kN) acting on the sluice gate, when the oil is level with the top of the sluice gate. %3D

sailing vessels can carry lead ballast such as bricks to keep the vessel properly oriented and upright in the water. Consider a vessel that takes on cargo and the crew jettisons a total of 0.500m^3 of the lead ballast into water 2000 m deep. Seawater's density is equal to 1.025g/cc while lead's bulk modulus equals to 42 GPa. Find the change in the volume of the lead at 2km depth.

h 4m Zd d = h - th= th ? fentroid - center of pressure. water F₁ 3h F₂ =0.86) 7 M₁ = F₁-d₁ = @h²₁ A₁) d₁ M₂= F₂ · d ₂ (J₂h²₁₂A₂) d₂ H Solve for Ha № 0.86 =431m (1) How deep should the oil be So that there is no net horizental force on the platte? H= [16 F₁ = F₂ P₁ (B⋅4m) = P₂|(B⋅H) That=rcha - H 1 (m) - 4MH). H x4m 16 = 0.86 H² (2) Are the magnitudes of the moments about "the base of the plate equal ? Why?

Water flows over a dam into a rectangular channel of width b (out of page). At the bottom of the dam, the depth of flow is h₁. As you may have seen on watching rapid channel flow, the water may suddenly change elevation to height h₂ as it passes through a highly disturbed region called the hydraulic jump. If velocity is assumed uniform at 1 and 2, compute the height h2 using the control volume analysis. Take the pressures at 1 and 2 as hydrostatic, and assume that the flow is steady. Neglect friction at the channel bed and walls. (Courtesy of the Wright Water Engineers, Inc. and ASDSO) Hydraulic jump h₁ = 3 ft V₁ = 25 ft/s BE 2 h₂ =? V₂ = ? (a) Find the cubic equation, in terms of h₁, V₁, and g, that you must solve for the downstream depth h₂ of the water channel. (b) For h₁ = 3 ft and V₁ = 25 ft/s, find the downstream depth h₂. Use the standard value for g. Note that you are solving a cubic equation, and only one of the solutions is correct.

Question 2 A brand of toothpaste is made using a mixture of white and red paste. During the manufacturing process, both pastes are pumped through a pipe, with the red paste lying in the centre of the pipe, as shown in Figure Q2. The pipe has an internal radius, R₂, and the segment of red paste has a radius R₁. The flow is found to follow the Poiseuille equation, i.e. u(r) 1 dp - (R² — r²) 4μ dx dp Where is the pressure gradient. The total flow of dx u is the viscosity of the paste and toothpaste through the pipe is Qtot, and the flowrate of the red paste is red- The toothpaste has a density of p = 1200 kg/m³, and a viscosity of 0.03 Pa.s. The pipe has a radius R₂ 5 cm and a length L = 2 m. = a) Find an expression for the flowrate of the red toothpaste. You answer should be in terms of µ, R₁, R₂, dº) R₂₁ b) The flow in the pipe becomes turbulent when the Reynolds number reaches 2000 (where Re is calculated using the mean velocity across the pipe). What is the maximum pressure drop along…

As shown, water flows downward along a pipe inclined at 30° below the horizontal.The pressure difference between PA and PB is due partly to gravity and partly to friction. Thespecific gravity of mercury is 13.55.(a) Derive an algebraic expression for the pressure difference.(b)  Evaluate the pressure difference (in psi) if L = 5 ft and h = 6 in

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Use density of water = 1000kg/m^3 and acceleration due to gravity equal to 9.81m/s^2. A rectangular tank containing water at a depth of 1.2m is accelerating towards the right, the motion of which is parallel to the longest side. If the tank has the following dimensions: length = 3 meters, width = 1.8 meters, and height = 1.5 meters, determine the following: the maximum allowable acceleration (m/s^2) of the tank; and the unbalanced force causing the maximum acceleration in kN. angle (in degrees) of fluid inclination of the acceleration from part a. how many cu.m of water is spilled when a = 2.5m/s^2. Note: Do not include units in your answers. Do not round off intermediate values and answer in four decimal places.

Q2) Oil flows through a pipe as shown in fig2. The coefficient of discharge for the orifice in the pipe is C.-0,63. What is the discharge of oil in the pipe? P1-P2 P1-P2 V22-V₁² Let: -4.48. Y 100-mm-diameter, sharp-edged orifice (2) 250mm 6.958 Heavy oil

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