A water-level control device in a tank is shown in the figure below. When the water level rises above a desired height ho, the device lifts and allows water to drain out through the hole in the bottom of the tank. After a certain amount of water drains, the device falls, and the plug seals the hole. A rod of length L = 0.4 m connects the plug of diameter Dp and the float of diameter D₁ = 0.18 m. The weight of the device (including the float, plug and rod) is W = 20 N. Assume that the thicknesses of the plug and the rod are negligible. Also assume that the device and water move very slowly so that the system can be considered hydrostatic. The density of water is p = 1000 kg/m³. (a) Draw the free-body diagram, and indicate all the forces acting on the device. (b) For a desired water level ho = 0.5 m, what is the plug diameter Dp that makes the device lift up. D₁ ho

At a certain temperature, water rises inside 0.10in diameter capillary tube. How high will it rise if the wetting angle is zero and the surface tension is 0.005 lb/ft? Select the correct response: O 0.832 in 0.654 in O 0.426 in O 0.232 in

can you help me with part a) please

I need help on this question: Q. Two vats are connected by a submerged pipe with a square cross-section, as shown in Figure Q2. A hinged valve in the centre of the square pipe prevents the fluid in both vats mixing. The valve door is square and has a cross sectional area L x L, and the hinge is at the top of the door. The fluid depth in the first tank is h1 and the depth in the second tank is h2.  a) The fluid in vat 1 exerts a horizontal force, F1, on the valve door when it is closed. Express F1 in terms of h1. b) The fluid in vat 1 exerts a moment, M1, on the valve door (acting about the hinge at the top of the door) when it is closed. Express M1 in terns of h1. c) Considering the fluid in both vat 1 and vat 2, express the net moment on the door in terms of h1 and h2 when it is closed.

a)Determine the relationship between the air pressure in the tank and the maximum height to which the water fountain can rise above the discharge nozzle.   b)If a water fountain height of 10 mm is desired, what air pressure should be used?

can you help me with part B) please

hi, can you helo me with all parts of this question. thank you

Q.1- The water level, h (t), is controlled by an open -loop system as shown in figure below. A dc motor controlled by an armature current i turns a shaft , opening a valve. The inductance of dc motor is negligible that is, L = 0.Also the rotation friction of the motor shaft and valve is negligible .That is,C=0,The height of the water in the tank is h(t) = [(1.60(1) -h(t)) dt. The motor constant is K=10, the inertia of the motor shaft and valve is J=6x10³ Kg.m² and back e.m.f constant K, = 0.0706V/(rad/s). Determine i-The deferential equation for h(t) and V(t). ii-The transfer function H(s)/V(s). Amplifier 10:41 4.-50 07 Valve MD) 41)

4. A differential manometer is connected at the two points A and B of two pipes as shown in the figure. The pipe A contains a liquid of S.G. = 1.5 while pipe B contains a liquid of S.G. = 0.9. The pressures at A and B are 98.1 kPa and 176.58 kPa, respectively. Find the difference (h) in mercury level in the differential manometer. Use S.G. = 13.6 for mercury. S.G. = 1.5 IX 13m nnnnnn 2.0 m S.G.= 0.9

9. Determine the height that 20°C water would climb in a vertical 0.02 cm-diameter tube if it attaches to the wall with an angle B of 30° to the vertical.