Please show all work!! Figure is provided, work on a-c please. Problem 1.An aircraft's propeller consists of a rigid hub of radius R and a flexible taperedblade of length 3R that has density p (kg/m³). The propeller is rotating about the center of the hubwith a steady angular velocity », thereby creating an effective axial distributed force in the blade.Neglect forces due to gravity. The cross sectional area distribution of the blade is A(r), defined asA₁ if R hubbladeR3R

a) Expression for Body Force Due to Rotational Acceleration The aircraft's propeller consists of a…

Answered: Problem 1. An aircraft's propeller…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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A single cylinder vertical engine has a bore of 30 cm, a stroke 36 cm and a connecting rod of length 72 cm. The weight of the reciprocating part is 130 kg. When the piston is at quarter stroke from TDC and is moving downwards, the net pressure on it is 0.6 MPa. If the speed of the engine is 250 r.p.m., calculate the turning moment on the crankshaft at the instant corresponding to the position stated above.
The nominal power of the wind turbine is 2 MW at wind speed 11.5m/s, generator efficiency is 94%, gear box efficiency is 65%, power coefficient of blades is 59%. What would be the diameter of the rotor? (Given: density of air = 1.225 kg/m3) %3D
Suppose the optimum spacing of wind turbines is estimated to be 4 rotor diameters between wind turbines within a row and 7 diameters between rows. Estimate the total area onshore required constructing a farm of thousand turbines of diameter 100 m each built in 20 rows. wind 4 diameters 7 diameters
Explain the reason why the wake of a horizontal axis wind turbine at normal operating conditions shows an expansion downstream of the rotor disk. A B C D E A. B It is a direct result of mass & momentum conservation B. If we double the diameter of a wind turbine and every other aspect of its design, hypothetically, stays the same, what is the expected effect on its rated power? C. It is due to the effect of turbulence It is a direct result of momentum conservation D. It is due to the slow-down of the wind on the blades E. It is because of the unsteady flow over the blades it is due to the rotation axis of the wind turbine, horizontal vs vertical Will stay the same Will be halved Will increase in a cubic way Will double Will quadruple E. It will quadruple. Power is proportional to the area so if the diameter goes up by a factor of 2 the power will go up 4 times.
8. A horizontal axis wind turbine has its blades rotating on an axis uiz-1 to the ground. Page 1 of 2
20. A thrust of 30 kN along the axis of a shaft is taken by a pivot bearing consisting of the frustum of a cone. The outer and inner diameters are 200 mm and 100 mm and the semi-angle of the cone is 60°. The shaft speed is 200 rev/min 0-02. Assuming that the intensity of pressure is uniform over the surface of the bearing, find, from first principles (a) the magnitude of this pros- sure, in N/m²; (b) the power absorbed in friction. (U. Lond.) and (Ans.: 1.272 MN/m²; 1.13 kW)
A single cylinder reciprocating engine has speed 240 rpm, stroke 300 mm, mass of reciprocating parts 60 kg, mass of revolving parts at 200 mm radius is 37 kg. If three-fifth of the reciprocating parts and all the revolving parts are to be balanced, find: the balance mass required at a radius of 500 mm, and the residual unbalanced force when the crank has rotated 60° from top dead center. 28.00 kg, 3481.74 N 20.33 kg, 1406.76 N 25.13 kg, 2637.68 N 21.94 kg, 1899.13 N 29.20 kg, 4220.29 N
H.W (3): In a mechanism as shown in Fig. 7.15, the various dimensions are : OC = 125mm ; CP = 500 mm ; PA= 125 mm ; AQ = 250 mm and QE = 125 mm. Given that: Noc The bell crank lever AQE rocks About fixed centre Q. Draw the 350 = 120 r.p.m, 90 velocity diagram and calculate the absolute velocity of point E of the lever. 200 o 45° VE = vector oe = 0.7 m/s Ans. 1 25 mm
A 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.
3.2 Perhaps you have felt the end of a garden hose exert a backward force on your hand if (and only if) you have attached a nozzle. Let's estimate this force. Assume that the x-axis is aligned with the end of the hose, and points in the direction of the water flow. (a) Assume that the hose delivers water at the rate of 11 = 1000 cm that the hose has a cross section of 1 cm2. Estimate the speed of the water in the hose. (b) Use your result from part (a) to estimate the impulse [Apæ]enter transferred every second to the nozzle by the water entering the nozzle (one liter of water has a mass of one kg). (c) The nozzle forces the water to leave the nozzle through an opening that has a cross section smaller than that of the hose. Let's assume that the nozzle's cross section is 0.5 cm 2. Estimate the speed at 3 per second to the nozzle, and which the water leaves the nozzle. (d) Estimate the impulse [Apä]leave transferred every second to the nozzle by the water leaving the nozzle. (e)…
(a) A model low speed centrifugal compressor (a “blower") runs at 430 rpm and delivers 10 m/s of air against a pressure head of 60 mm of water. If the pump efficiency is estimated to be 80%, how much power is required to drive the compressor? (b) A geometrically similar compressor is made with a diameter 1.8 times the size of the model and is required to work against a pressure head of 80 mm of water. Determine the operating speed and the power needed to drive the compressor assuming dynamically similar condi- tions apply.

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