An inclined, circular gate with water on one side is shown in the figure. Determine the total resultant force acting on the gate. 3A = 6m /3C
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- Dynamics of Rigid Bodies A cylindrical well is 2m in diameter and 12 m deep. If there is 3m of water in the bottom of the well, determine the work done in pumping all this water to the surface. (Answer: 970kN m) Refer to the above problem, what wokr must be done by a pump that is 60 percent efficient? (Answer: 1620 kN m) Need solution plsQ2/ How much fluid is required to raise the pressure in a thin cylinder of length 3 m, internal diameter 0.7 m, and wall thickness 12mm by 70kN/m*? E = 210GN/m* and v = 0.3 for the material of the cylinder and K = 2.1 GN/m* for the fluid.A fish tank that contains 60 cm high water is moved in the cabin of elevator. Determine the pressure in kPa at the bottom of the tank when the elevator is stationary. Include the free body diagram in your solution. a.7.69 b.5.89 c.6.46 d.4.09
- If the flow rate in the figure below is 36ft^3 per second and the cross sectional area and dnsity of the water are 4in^2 and 64.83lb/ft^3 respectively. determine the forces at A and BWater is flowing in a 90ο pipe with uniform cross section area of A=0.0083 m2. The velocity along the horizontal direction is v1=6.0 m/s. The pressure at the section 1 is p1=500kPa. Elevation difference and energy losses can be neglected. The density of water is ρ=1000kg/m3. An external force is needed to hold the pipe in equilibrium. (1) Select the correct expression of the external force component in the horizontal direction Rx_________ A. B. C. D.The water in a 25-m-deep reservoir is kept inside by a 90-m-wide wall whose cross section is an equilateral triangle. Determine (a) the total force (hydrostatic + atmospheric) acting on the inner surface of the wall and its line of action and (b) the magnitude of the horizontal component of this force. Take Patm = 100 kPa.
- A closed cylindrical vessel of diameter 20 cm and height of 100 cm contains water up to height of 70 cm. The air above the water surface is at a pressure of 78.48 kPa. The vessel is rotated at speed of 300 rpm about its vertical axis. Find the pressure head in m at the bottom edge of the vessel. CHOICES: a.8.95 m b.8.06 m c.8.45 m d.7.86 mWater is flowing in a 90ο pipe with uniform cross section area of A=0.0083 m2. The velocity along the horizontal direction is v1=6.0 m/s. The pressure at the section 1 is p1=500kPa. Elevation difference and energy losses can be neglected. The density of water is ρ=1000kg/m3. An external force is needed to hold the pipe in equilibrium. (2) Select the correct expression of the external force component in the vertical direction Ry_________ A. B. C. D.A 1.2 mm diameter tube is inserted into an unknown liquid whose density is 960 kg/m^3, and it is observed that the liquid rises 5 mm in the tube, making a contact angle of 15 degree. Determine the surface tension of the liquid. h = 5mm = 0.005m d = 12x10^-4m r = 6x10^-4m angle = 15 y = 960kg/m^3 = 9.414 kn/m^3
- The curved surface given in the figure is defined by y = 3√x. Determine the horizontal force and its line of action applied by water on the curved surface. The width of the gate is b = 2 mThe distance between the centers of the two arms of a U-tube open to the atmosphere is 30 cm, and the U-tube contains 20 cm high alcohol in both arms. Now the U-tube is rotated about the left arm at 4.2 rad/s. Determine the elevation difference between the fluid surfaces in the tow arms.CHOICES a.0.81 m b.0.96 m c.0.33 m d.0.67 mFluid with a density of 900 kg/m^3 is applying pressure on the gate shown. The depth of the water is equal to the height of the gate. The h is 12 m and width of the gate is 4 m. Determine the resultant pressure force acting on the gate? a)1611315 N b)5084000 N c)2542000 N d)52958 N e)105916 N