Water from a large reservoir drives a turbine, and exits as a free jet from apipe of diameter D. The jet is deflected by a vane, and the horizontal force requiredto hold the vane is F directed to the left. Given: h = 40m, D = 0.15m, 0 = 30°,F, = 1500N, and Pw = 1000 kg/m³. Assume velocity magnitude at exit of vane isequal to that at entrance. If all losses are negligible, calculate:(a) The power developed by the turbine in kW.(b) The pressure difference across the turbine, and express it as a head (m).hFigure 1: Problem 2, A sketch (not-to-scale)Equations used must be labeled appropriately: conservationof mass, principle of linear momentum, principle of angularmomentum, or first law of thermodynamics.Control volumes must be drown and clearly defined.List all assumptions.

Answered: Image /qna-images/answer/a16aea92-8b20-4932-b0f3-f1c8c41cbec2.jpg

Answered: Water from a large reservoir drives a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

H = (1) Water 12.0 Pump To double the outflow of a reservoir, a pump is added as shown in the Figure above. The head in the reservoir is H = 4 m, the pipe diameter is D = 0.4 m and the the total length of the pipe system system is L = 120 m. For reference, the density of water is given by Pwater = 998.2 kg/m³ and the acceleration due to gravity is given by g = 9.81 m/s². Please provide your answers to 2 significant figures. (a) Determine the head added by the pump to double the flow rate. Assume that the pipe friction remains constant at f = 0.022, independent of added pump. In addition, assume a sharp edge entrance at the reservoir with a local loss K₁ = 0.4. m (b) Determine the power of the pump. Power = 92500.0957588 L W D A correct answer is 12.0, which can be typed in as follows: A correct answer is 92500.0957588, which can be typed in as follows: (2)
(3) The cart shown below is restrained from moving by a cable connected to a fixed wall. The tank has a circular cross section of diameter D and the flow exit has a circular cross section of diameter Do. Do not assume that H(t) is constant. The fluid has density p and the exit is open to the atmosphere. Wall H D- Do Cable Vo (1) Determine H(t) and the exit velocity Vo(t). (2) Determine the tension in the cable as a function of time Your answers should be in terms of given parameters (D, Do, p, g) о,
A- Blood flow from the left ventricle into the aorta can be modeled as a reducing nozzle (Figure below). Model both the left ventricle and the aorta as a tube with diameter of 3.1 and 2.7 cm, respectively. The pressure in the left ventricle is 130 mmHg and the pressure in the aorta is 123 mmHg. Blood is ejected from the left ventricle at a speed of 120 cm/s. Calculate the difference in height between these two locations. V₂ Az = ? Aorta location 2 Left ventricle location 1
A single-stage axial flow pump with outer radius r2 = 0.240 m and inner radius r1=0.120 m is given. At a radius of r =0.090 m, absolute flow flows in from the axial direction just before the impeller inlet and relative flow flows out in the axial direction just after the impeller outlet. Assuming a flow rate Q = 0.265 m^3/s, a water density p = 1.000 x 103 kg/m^3, a rotation speed n = 2.4 x 10^3 rpm, and a gravitational acceleration g = 9.81 m/s^2, and assuming that the theoretical head Hth = W/g (W: specific work) derived from Euler's law is constant at all impeller radii, answer the following questions. (1) Looking at the following image, find all values of the velocity triangle just before the impeller inlet and just after the impeller outlet at radius r =0.09 m. impeller Figure 37.1 A propeller of an axial flow pump a₁ w1 U₁ Outlet guide vane B₁ Impeller α₂ Vw2 U₂=U₂=U
Problem 2. An engineer helps with the design of a rotating spray for a dishwasher. The spray has 4 identical jets spaced equally around the rim of a disc. Water enters though a hollow shaft and then flows radially out to the jets. The nozzle of the jet has a diameter D of 0.3 cm and makes an angle a = I (3 with the horizontal plane of the disc(See figure). The jets are oriented so that v2r=0. If the total flowrate Q=50 mL/s and the disc has radius R= 7.5 cm, determine the torque in dyne-cm required to keep the disc from rotating. Water jet R. Water flows radially inside dise to jet Water in View from top View from side
Q6) A water jet hits horizontally a 50-kg block with a velocity of (20 m/s), see the figure. The friction coefficient between the block and the ground is (0.9). What is the minimum diameter (d) of the water jet required for the block to slide to the left?
A single-stage axial flow pump with outer radius r2 =0.240 m and inner radius r1 =0.120 m is given. At a radius of r =0.090 m, absolute flow flows in from the axial direction just before the impeller inlet and relative flow flows out in the axial direction just after the impeller outlet. Assuming a flow rate Q = 0.265 m^3/s, a water density ρ = 1.000 × 103 kg/m^3, a rotation speed n = 2.4 × 10^3 rpm, and a gravitational acceleration g = 9.81 m/s^2 , and assuming that the theoretical head Hth = W/g (W: specific work) derived from Euler's law is constant at all impeller radii, answer the following questions. (1) Find the velocity triangles just before the impeller inlet and just after the impeller outlet at a radius of r =0.09 m.
Towards the inside of a cylindrical tank with diameter: D = 24 m, water flows through a tube 1 with a velocity v1 = 20 m / s and exits through tubes 2 and 3 with velocities v2 = 8 m / s and v3 = 10 m / s respectively. At 4 there is a vent valve open to the air from the atmosphere. (a) What is the speed with which the level rises of water in the tank? (b) what is the average velocity of the air flow at valve 4? assuming air is incompressible. Assume the following pipe diameters: D1 = 3 m, D2 = 2 m, D3 = 2.5 m, D4 = 2 m, consider that the density of water is: ρw = 103 kg / m3 , and the density of air is: ρa = 1.2 kg / m3
A 1-kW intake fan is used to pull in air (p, = 1.225 kg/m') from a room and push it through a duct of rectangular cross-sectional area of (1 m x 0.5 m), as shown in the figure. The air pressure on the downstream side of the fan is approximately equal to the room air pressure. Estimate the air velocity in the duct if the fan is 70% efficient in transferring energy to the air. Neglect major and minor losses in the duct. Room 0.5 m この O. Flow Eim - Duct cross sectional area
A thin disc with mass 0.018 kg is kept balanced by a jet of air. The diameter of the jet at the nozzle exit is 5 mm. Find the air jet velocity in m/s. Please note that the only forces involved are the weight of the disc and the force from the air jet (the two are balanced). Use the air density of 1.07 kg/m^3 , g = 9.81 m/s^2 and the correction factor beta of 1
In the jet impact experiment, water jet impacts on a curved vane in the vertical direction. As shown in the figure below, the exit has an angle with respect to the vertical direction. The distance from the nozzle to the vane surface at the exit is h. The water volume flow rate is measured to be Q, the density of water is p, and the cross section area of the nozzle is A₁. Assume that the flow has reached the steady state. (1) Use the Bernoulli's equation to determine the velocity Vout at the exit of the vane. Assume that friction between water and the curved vane can be neglected. (2) Apply the Reynolds transport theorem to derive the expression of the impact force F, on the curved vane (neglect the jet weight). (3) Under the condition of a fixed volume flow rate Q, determine the maximum impact force Fr,max that can be obtained when the angle varies (e.g. in different vane designs). Va out 9 Ao Vout h
29Water enters the impeller of a centrifugal pump radially at a flow rate of 250 L/min. The rotational speed of the impeller shaft is given as 400 rpm. Since the outer diameter of the impeller is 60 cm and the tangential component of the output velocity at this point is 55 m/s, calculate the torque (Nm) coming to the impeller.

SEE MORE QUESTIONS

Recommended textbooks for you

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Control Systems Engineering

Mechanical Engineering

ISBN:

9781118170519

Author:

Norman S. Nise

Publisher:

WILEY

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Engineering Mechanics: Statics

Mechanical Engineering

ISBN:

9781118807330

Author:

James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher:

WILEY

SEE MORE TEXTBOOKS