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?

1. Sketch the pressure distribution applied to the container by the fluid:

I am working on practice problems and am stuck on this question.

A pure aluminum is being poured into a sand mold. The metal level in the pouring basin is 10 in. above the metal level in the mold, and the runner is circular. What runner diameter is needed to ensure a Reynolds number of 2000? how long will a 20 in' casting take to fill with such a runner? given that Pure aluminum has a density of 2700 kg/m' and a viscosity of around 0.0015 N.s/m2 at 700 °C. Use v 87.9 in/s 2.23 m/s for the Reynold number. (

A U-tube of 2.5 mm inside diameter and 900 mm length has one end closed. The other end is connected to a funnel of height 50 mm. Mercury is poured into the funnel to trap air in the tube. If trapped air is compressed isothermally, what is height to which mercury will go inside U-tube and then starts to spill over the funnel? (Neglect capillary effects).

A closed cylinder 3 m in diameter and 2.5 m high is filled with water. Assuming the metal of the cylinder is 5mm thick with an ultimate strength of 150 MPa. Compute its angular velocity if it is rotated about its vertical axis to the point of bursting.

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Problem 2 The apparatus sketched in the figure below serves as a viscometer i.e. it can be used to measure the viscosity of a liquid. In the drawing, D is a large reservoir containing a viscous liquid A and E is a cylindrical tube of radius R, open at both ends, surrounding and coaxial with B, which is a cylindrical "bob" of radius êR that is dragged up through the fluid by a frictionless pulley system (C) utilizing a weight W. Determine a design equation that relates the viscosity of the liquid to the geometry of the system and the weight W. Hint: you can assume that the length of the cylindrical tube is sufficiently long for the flow to reach steady state. W E D B

Please solve this question correctly in a sheet of paper.