Q4:- The turning moment diagram of one revolution of multi cylinder engine above and below the line of mean resisting torque are given by (-0.32, 4.06, -2.71, 3.29,-3.24, 2.4, -3.74, 2.71, -2.45) cm. The fluctuation of speed is limited to ± 1.5 percent of mean speed which is 250 rpm. The hoop stress in rim material is limited to 549.2 N/cm?. Neglecting of boss and arm effects, determine the suitable diameter and cross section of flywheel rim if the weight density of rim material is 0.0706 N/cm. Assume that the width of rim equals four times its

Q4:- The turning moment diagram of one revolution of multi cylinder engine above and below the line of mean resisting torque are given by (-0.32, 4.06, -2.71, 3.29,-3.24, 2.4, -3.74, 2.71, -2.45) cm. The fluctuation of speed is limited to ± 1.5 percent of mean speed which is 250 rpm. The hoop stress in rim material is limited to 549.2 N/cm?. Neglecting of boss and arm effects, determine the suitable diameter and cross section of flywheel rim if the weight density of rim material is 0.0706 N/cm. Assume that the width of rim equals four times its

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

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The turning-moment diagram for one cycle of a multi-cylinder engine shows fluctuations in energy above and below the mean-torque line as follows: –62·5 J, +105·7 J, –27·3 J, +63·3 J, –59·1 J, +25·2 J, –99·3 J and +54 J. Sketch the diagram and use it to find the mass of the flywheel, radius of gyration 220 mm, needed to keep the engine speed within the range 898 to 902 rev/min
Q3/ A vertical double acting steam engine develops 80 kW at 240 rpm. The maximum fluctuation of energy is 25% of the work done per stroke. The maximum and minimum speeds are not to vary more than +1% of the mean speed. Find the mass of the flywheel, if the radius of gyration is 0.65 m.
.A steam engine develops power at mean torque of 18,000 N-m and velocity of 9 m/s. The mean diameter of the flywheel rim is 1.3 meters. The coefficient of fluctuation of speed is 0.03 and the coefficient of fluctuation of energy is 0.21. Determine the thickness of the rim in mm if the width of the rim is twice of its thickness. Assume density of rim material as 7250 kg/m3.
What thrust is obtained from a propeller 3 m in diameter that has the characteristics given in Fig. 14.2 when the propeller is operated at an angular speed of 1400 rpm and an advance velocity of zero? Assume p = 1.05 kg m3.
A multi-cylinder engine is to run at a speed of 600 r.p.m. On drawing the crank-effort diagram to scale of 1 cm 2452.5 N-m and I cm 30°, the areas above and below the mean torque line in sq.cm. are as follows: +1.6, -1.72, +1.68, -1.91, +1.97 and -1.62. The speed is to be kept within ±1% of the mean speed of the engine. Calculate the necessary moment of inertia of the flywheel. Determine the suitable dimensions of a rectangular flywheel rim, if the breadth is twice the thickness. The density of the cost- iron is 725 gm/cm' and its hoop stress is 588.6 N/cm2. Assume that the rim contributes 92% of the flywheel effect.
What thrust is obtained from a propeller 3 m in diameter that has the characteristics given in the figure shown in the image below when the propeller is operated at an angular speed of 1400 rpm and an advance velocity of zero? Assume p = 1.05 kg m3.
The turning moment diagram for a multicylinder engine has been drawn to a scale of 1 mm = 4550 N-m vertically and 1 mm = 2.5° horizontally. The intercepted areas between output torque curve and mean resistance line taken in order from one end are 340, -24, 245, -305, 120,-232, 228, -165 mm2, when the engine is running at 180 r.p.m. If the mass of the flywheel is 1100 kg and the total fluctuation of speed does not exceed 4% of the mean speed, find the minimum value of the radius of gyration.
A single cylinder reciprocating engine has speeded 300 RPM. Stroke 250 mm, mass of reciprocating parts 50 kg. Mass of revolving parts at 150 mm radius 37 kg. If two fourth of the reciprocating parts and all the revolving parts are to be balanced, find (i) The balance mass required at 400 mm radius (ii) The residual unbalanced force when the crank has rotated 45° TDC.
Power is transmitted between two pulleys mounted on the parallel shafts rotating in the opposite direction. The pulleys are separated apart at a distance of 1950mm having 0.45m and 0.2m diameter respectively. What power can be transmitted by the belt when the larger pulley rotates at 200 rev/min, if the maximum permissible tension on the tight side of the belt is 1000 N, and the value of µ between the belt and pulley is 0.25. Design the length of the belt required and the angle of contact between the belt and each pulley.
The maximum total primary force in a three cylinder radial engine with axes 120° to one another stroke length 100 mm, speed 3000 rpm, 1.5 kg of reciprocating mass/cylinder is
Q4(b) A water turbine model is constructed at ratio of 1:8 with power system of 10 kW at speed of 555 rpm under a head of 2.5 m. Overall efficiency for both model and prototype is assumed at 0.93. (i) Determine the specific speed. (ii) If the prototype is run under a head of 25 m, calculate its rotational speed, power and discharge.
A flywheel absorbs 2500 ft-lb of energy at a coefficient of fluctuation of 0.10. The mean diameter of the flywheel is 72 inches. The weight of the arms and hub is 12 % of the rim weight. The mean rim speed is 80 fps. Consider the specific weight of the flywheel as γ = 0.26 lb/in3. A. Find the mean rpm of the rim. B. Determine the weight of the rim. C. What is the cross sectional area of the rim?