Water flows through a horizontal, pipe bend as is illustrated in the figure below. The flow cross section area is constant at a value of 9000 mm². The flow velocity everywhere in the bend is 15 m/s. The pressures at the entrance and exit of the bend are 210 and 171 kPa, respectively. Calculate the horizontal (x and y) components of the anchoring force needed to hold the bend in place. (a) What is the density of the water? (b) What is the mass flow rate of water through the system? (a) p = i (b) mi eTextbook and Media Save for Later kg/m³ kg/s Using multiple attempts will impact your score. 10% score reduction after attempt 2 Part 2 A control volume for this problem is shown below FX The linear momentum equation is given below Vp d¥ + VpVdA = Σ F control volume Attempts: 0 of 3 used Submit Answer Control volume (5.22) (a) The first term is the time rate of change of linear momentum. What is the time rate of change of linear momentum in the x direction? (b) The second term is the net rate of flow of linear momentum through the control volume. What is the net rate of flow of linear momentum in the x direction? (c) What is the net pressure force acting on the control volume in the x direction? (d) Using the linear momentum equation, what is the force on the control volume from tubing in the x-direction Fx? (a) VpVolxi (b) VpVAxi (c) pAxi (d) Fx = i N N N N The linear momentum equation is given below Fx = contents of the control volume Control volume Fy (5.22) (a) The first term is the time rate of change of linear momentum. What is the time rate of change of linear momentum in the x direction? (b) The second term is the net rate of flow of linear momentum through the control volume. What is the net rate of flow of linear momentum in the x direction? (c) What is the net pressure force acting on the control volume in the x direction? (d) Using the linear momentum equation, what is the force on the control volume from tubing in the x-direction Fx? (a) VpVolx-i (b) VpVAx = i (c) pAx N (d) Fx N eTextbook and Media Save for Later N N Using multiple attempts will impact your score. 10% score reduction after attempt 2 Part 3 Attempts: 0 of 3 used Submit Answer Show the signs associated with the momentum and pressure forces. (a) What is the time rate of change of linear momentum in the y direction? (b) What is the of flow of linear momentum entering the control volume in the positive y direction? (c) What is the of flow of linear momentum leaving the control volume in the positive y direction? (d) What is the pressure force in the y direction acting on the control volume inlet? (e) What is the pressure force at the y direction acting on the control volume exit? (f) Using the linear momentum equation, what is the force on the control volume from tubing in the y-direction Fy? (a) N (b) VpVA1= N (c) VpVA₂ = N N (d) pA1-i (e) pA2= (f) Fy N N