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A parameter that is often used in describing pump performance is the specific speed,
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Fox and McDonald's Introduction to Fluid Mechanics
- The rotating blade of a blender turns with a constant angular acceleration 1.50 [rad/s^2].a. How much time does it take to reach an angular velocity of 36.0 [rad/s^2] starting from rest? b. Through how many revolutions does the blade turn in this time interval? c. What are the tangential acceleration and tangential speed of an ant sitting on the blade 10.0 cm from the axis of rotation during the end of this interval? d. What is the moment of inertia of the ant if its mass is 10.0 g? e. What is the rotational kinetic energy of the ant?arrow_forwardYou must select a submerged centrifuge multicellular pump for a borehole on a worksite that requires a flow of 1.500l/s. The borehole itself is 150m deep (see figure 5). If the outlet pipe has the following properties, then: wwww wwwwwww Water outlet (open air) wwww Outlet pipe L = 200m Borehole wwwww Pump f= 0.04 D = 38mm Figure 5 Borehole and pumping schematic A) Choose a pump from those presented in figure 6 (you must select the most adequate model) if there is no local head-loss, only friction related head-loss. You must draw the complete characteristic curve for the pipe directly on figure 6.; B) Is cavitation an issue if NPSHrequired is 5m briefly discuss the results. C) Determine the supplied power output by the pump (in kW) as well as the absorbed power output when the pump reaches it's operational flow for the pump you have selected. | N.B. Hypothesize that water in the borehole is level with the pump intake. The pump intake is the same diameter as the outlet pipe. Patm-100…arrow_forwardThe rotating blade of a blender turns with a constant angular acceleration 1.50 [rad/s^2].a. How much time does it take to reach an angular velocity of 36.0 [rad/s^2] starting from rest? Through how many revolutions does the blade turn in this time interval? b. What are the tangential acceleration and tangential speed of an ant sitting on the blade 10.0 cm from the axis of rotation during the end of this interval? c. What is the moment of inertia of the ant if its mass is 10.0 g? What is the rotational kinetic energy of the ant?arrow_forward
- conduct a full kinematic analysis and calculate dynamic reaction forces in a linkage mechanism, calculate instantaneous torque, required to drive the mechanism 470 Figure 1. Left: An operating pumpjack linkage mechanism. D G E A Φ B B T H WOA Right: A mechanical Figure 1 shows a pumpjack operating at an oil well. Its representation as a linkage is also shown in Figure 1. The pumpjack is driven by a motor attached to crank OA. A constant torque T' is applied to the crank and the crank rotates at a constant angular velocity wOA. A force P is applied vertically downwards at the end of the walking beam BD, which has its centre of mass at point G. To design the mechanism, a careful kinematic analysis of the mechanism needs to be conducted. To avoid mechanical failure and to provide adequate support to the mechanism, the engineer needs to analyse the reaction forces in the joints. Masses of links OA and AB are assumed to be smaller in comparison with the mass of BD and are ignored in the…arrow_forward|The following processes occurs in a rever sible thermodynamic cycle: 1-2: Reversible polytropic compression at pressure X)bar at volume Y)m' to a pressure [Z]bar and specific volume (A]m'/kg. The index of compression may be taken as n. 2-3: Reversibly expansion with expansion index of 2 to pressure [B/bar. 3-1: Reversible cooling at constant volume to the initial state.arrow_forwardYour assigned value of y is 30 The following fluids specific heats are used. Fluid Comments X (liquid) Y (ideal gas) Z (liquid) Cp 4.2 kJ/(kg °C) 1.01 kJ/(kg °C) 2.03 kJ/(kg °C) does not change phase R = 287 J/(kg K) does not change phase Note: if any of these problems is impossible, state impossible, rather than a numerical answer. 1) A shell-and-tube heat exchanger with two shell passes and four tube T shell, in passes is used to heat (0.5 + y/40) kg/s of liquid Z from 10°C to 50°C. using 1.5 kg/s of liquid X entering at Trube,in (80 + y/2)°C. The over-all heat transfer coefficient is U = (150 – y) Figure 1: For use in Problem 5 W/(m² °C). a. Find the exit temperature of Fluid X: Tx,out = °C (± 1°C) b. Find the required heat transfer surface area: A = m² (± 1%)arrow_forward
- . I am planning to perform some volume-flow rate measurements in the Fluid Mechanics Laboratory. For this, I need a volumetric measuring tank (graduated cylinder) and a stopwatch. I considered the volume of the measured tank as 15 gallons and a stopwatch with reaction time as 1/10th of a second (though resolution of 1/1000th of a second). What is the volume flow rate if it takes 5 minutes to fill a 15-gallon of tank? Determine the smallest division to be on the tank in order to estimate the volume flow rate within an accuracy of ± 0.05 gpm.arrow_forwardExercise [2] As shown in Figure below, the velocity of water, v (m/sec), discharged from a cylindrical tank through a long pipe can be computed as: (/2gH V2gH tanh 2L V = L. Where g=9.81 (m/sec?), H=initial head (m), L= pipe length (m), and t = elapsed time (sec). Determine the head needed to achieve v= 5 m/sec in 2.5 seconds for a 4-m-long pipe by Newton-Raphson method. Use ɛ= 1%.arrow_forward(The complete question is in the picture) The force acting on an object is F = 3.50 [N]ˆi−5.20 [N]ˆj−2.30 [N]kˆ. The vector from the origin to the point where the force is applied is r = 3.50 [m]ˆi + 2.50 [N]ˆj. What is the vector torque with respect to the origin produced by this force?A. 10.9 [N.m]ˆi + 11.5 [N.m]ˆj − 27.0 [N.m]kˆB. −18.2 [N.m]ˆi + 8.75 [N.m]ˆjC. −5.75 [N.m]ˆi + 8.05 [N.m]ˆj − 27.0 [N.m]kˆD. −5.75 [N.m]ˆi − 8.05 [N.m]ˆj + 9.45 [N.m]karrow_forward
- Q1/A/ The heat capacity, Cp, depends on temperature and can be expressed as a function of temperature: Cp = A + BT + CT² + DT-² R The enthalpy change, AH which is equal to heat is given by: -T2 AH = Q = n CpdT T1 Write a script file to calculate the heat required if we need to increase the temperature of 15 kgmole/hr of methane from 298.13 to 373.13 K. Where A=1.702, B-9.081*10-³, C=-2.164*10-6, D=0, and R-8.314. B/ State whether the following are true (✓) or false (x) and correct the false statements 1- We can use the built-in functions in naming variables when they are in uppercase. 2- In the symbolic math toolbox, symbolic objects can also be numbers. The numbers must be typed as strings. 3- Two vectors can be multiplied only if they have the same number of elements. 4- All variables in MATLAB are arrays. 5- The only difference between plot and line commands is the latter does not have the line specifier. 6- In the disp command which is used to display output (like with the fprintf…arrow_forwardb) An air reciprocating compressor is working at 30°C ambient temperature and the suction pressure is measured at 750 mmHg and discharge pressure is 9 bar (absolute). Given data; Bore/stroke ratio = 1 Compressor speed = 1420 rpm FAD = 50 I/h Number of cylinder = 4 Clearance volume = 3% of swept volume %3D As an engineer, determine; a) Dimension of cylinder [mm] b) Discharge temperature [°C] c) Thermal efficiency [%] d) Power of compressor [kW] Take isentropic index, n =1.3, g 9.81m/s and density of mercury = 13,600 kg/m3 %3Darrow_forwardQuestion 4.4 A core was mounted in a gas permeameter to measure permeability, and the following laboratory data are obtained from the experiment: Diameter of the core = 2.59 cm - Length of the core = 6.03 cm - Gas viscosity = 0.0148 cP q [cm/s] Р, [КРa] P, [kPa] 13.09 65.4 13.5 7.91 44.6 11.2 4.12 25.3 6.4 3.23 19.4 4.1 Determine the gas permeability and equivalent liquid permeability of the core using the above data (in Darcy units).arrow_forward
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