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- A 1:10 model of a Francis turbine developed 0.5 kW under a head of 2.5 m at 480 rpm. The physical data are r1=1.5m, r2 = 0.4m, α1=15°, β2=135°. Find the speed of the prototype at a head of 20m.arrow_forwardPlease include explanation. A 6-MW offshore wind turbine has a capacity factor of 40%. It has a height of 120 m, and 107-m long blades. The angular acceleration is 1.388 rad/s2. Assume that the distance from the center of the turbine to the connection with the blade is negligible, and that the turbine starts from rest. At ? = 12 s, calculate the velocity and the acceleration for points (a) at half the length and (b) at the tip of the blade.arrow_forwardIn Figure 8 three pipes discharge water at 20 ° C stationary to a large outlet pipe. The velocity V2 = 5 m / s and the outlet flow Q, = 120 m / h. Calculate (a) V1. (b) V3 and (c) V4 if it is known that, by increasing Q3 by 20 percent, Q̟4 increases by 10 percent.arrow_forward
- PLEASE ANSWER QUICKLYarrow_forwardA water pump produces a flow of 8 ft /s and a power of 4 hp, using an 11-in.-diameter impeller. Part A What is the flow if a 6-in.-diameter impeller is used to maintain dynamic similitude? Express your answer using three significant figures. Q = ft /s Part B What is the power if a 6-in.-diameter impeller is used to maintain dynamic similitude? Express your answer using three significant figures. hparrow_forwardThe height h to which a column of liquid will rise in a small-bore tube due to surface tension is a function of the density of the liquid ρ, the radius of the tube r, the acceleration due to gravity g, and the surface tension of the liquid σ (see Section 1.9.3). (a) Express this dependence in nondimensional terms. (b) If the capillary rise for liquid A is 25 mm in a tube of radius 0.5 mm, what will be the rise for a liquid B having the same surface tension but four times the density of liquid A in a tube of radius 0.25 mm a dynamically similar system? Also find rB.arrow_forward
- A Francis radial-flow hydro turbine has the following dimensions, where location 2 is the inlet and location 1 is the outlet: r2 = 2 m, rı = 1.34 m, b2 = 0.8 m, and bi = 2.2 m. The runner blade angles are ß = 82° and Bi = 46° at the turbine inlet and outlet, respectively (Figure 3.1). The runner rotates at n = 120 rpm. The volume flow rate at design conditions is 300 m³/s. Irreversible losses are neglected in this preliminary analysis. i. Calculate the angle æ wicket gate should turn the flow, where æ is measured from the radial direction at the runner inlet. ii. Calculate the swirl angle, a, where a is measured from the radial direction at the runner outlet. iii. Does this turbine have a forward or reverse swirl? iv. Predict the power output (kW) and required net head (m).arrow_forward2%Y\ li. 1:18 HW4.png > The x- and y-motions of guides A and B with right- angle slots control the curvilinear motion of the con- necting pin P, which slides in both slots. For a short interval, the motions are governed by x 20 +t and y = 15 - , where x and y are in millimeters and t is in seconds. Calculate the magnitudes of the velocity v and acceleration a of the pin for t = 2 s. Sketch the direction of the path and indicate its cur- vature for this instant. A IIarrow_forwardconditioningarrow_forward
- A pump impeller rotating at 1400 rpm has an outside radius of 21 cm, the vane outlet angle β2 is 158° and the radial velocity at the outlet Cr2 is 4 m/s. Assuming radial flow at inlet, draw the theoretical outlet velocity diagram and calculate the various velocities and angles. Assume a deviation of 10° applied to β2 due to circulation after the modern theory. The flow is 30 lit/s. After drawing/illustrating the velocity diagram, find the theoretical head Ho, in meters, assuming radial flow at inlet, neglecting the deviation in inlet velocity diagram. calculate the water horsepower.arrow_forwardA water pump produces a flow of 0.25 m /s and a power of 2 kW, using an 300-mm-diameter impeller. Part A What is the flow if a 150-mm-diameter impeller is used to maintain dynamic similitude? Express your answer to three significant figures and include the appropriate units. Part B What is the power if a 150-mm-diameter impeller is used to maintain dynamic similitude? Express your answer to three significant figures and include the appropriate units.arrow_forwardA scale model of a pump has been tested and the following results obtained. Impeller diameter (D) 110mm Power input (P) 2.5kW Speed (N) 1500 r.p.m. Flow (Q) 14.5 litres/sec Head (H) 17m Efficiency (E) 60% You are to determine the speed and size of a geometrically similar pump which would deliver a flow rate of 25 litres/sec against a 22m resistance head. Determine the power input required by this pump.arrow_forward
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