Water is flowing in a circular pipe varying cross-sectional area, and at all points the water completely fills the pipe. 1. At one point in the pipe the radius is 0.170 m . What is the speed of the water at this point if water is flowing into this pipe at a steady rate of 1.65 m3/s ? 2. At a second point in the pipe the water speed is 4.75 m/s . What is the radius of the pipe at this point?

Flying Circus of Physics A venturi meter is used to measure the flow speed of a fluid in a pipe. The meter is connected between two sections of the pipe (see the figure below); the cross-sectional area A of the entrance and exit of the meter matches the pipe's cross-sectional area. Between the entrance and exit, the fluid flows from the pipe with speed V and then through a narrow "throat" of cross-sectional area a with speed v. A manometer connects the wider portion of the meter to the narrower portion. The change in the fluid's speed is accompanied by a change Ap in the fluid's pressure, which causes a height difference h of the liquid in the two arms of the manometer. (Here Ap means pressure in the throat minus pressure in the pipe.) Let A equal 3-a. Suppose the pressure p₁ at A is 3.0 atm. Compute the values of (a) the speed V at A and (b) the speed v at a that make the pressure p2 at a equal to zero. (c) Compute the corresponding volume flow rate if the diameter at A is 4.5 cm. The…

Vb = D A D Vmax = m³ c) What is the depth D below the waterline? W max = b) What is the volume of water displaced when the barge is empty? This will be in terms of D. m h Water. line m³ 1) A flat bottomed barge in the water has a base with area A 4000 m². The height, h, of the barge is 2 m. and the distance D is the depth of the barge below the i water line. The mass of the barge when empty is m, = 1,000,000 kg. N a) What is the weight of the empty barge? 9,800,000 mg = 1,000,000 (9.8) W₁ = The theoretical maximum mass of the barge, including its load, will be when the top of the barge is at the water level. d) What is the maximum volume of water displaced, and the mass of this much water? e) What is the theoretical maximum weight of the barge? N Illmax = - 16 hour!! (3) kg 525555, 004 Hae ad 11.