Derive the following expression of effects of partial balancing in two-cylinder locomotive engine (i) Variation of attractive force (ii) Swaying couple (iii) Hammer blow
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- Balancing 425 Q.7 A twin cylinder V-engine has the cylinders set at an angle of 45°, with both pistons connected to the single crank, The crank radius is 62.5 mm and the connecting rods are 275 mm long. The reciprocating mass per line is 1.5 kg and the total rotating mass is equivalent to 2 kg at the crank radius. A balance mass fitted opposite to the crank, is equivalent to 2.25 kg at a radius of 87.5 mm. Determine for an engine speed of 1800 r.p.m.; the maximum and minimum values of the primary and secondary forces due to the inertia of reciprocating and rotating masses. [Ans. Primary forces : 3240 N (max.) and 1830 N (min.) Secondary forces : 1020 N(max.) and 470 N(min.)]The following data apply to an outside cylinder uncoupled locomotive: Mass of rotating parts per cylinder = 250 kg; mass of reciprocating parts per cylinder = 200 kg; angle between cranks = 90°; crank radius = 0.3 m; cylinder centres = 2 m; radius of balance masses = 0.75 m; wheel centres = 1.45 m. If the whole of the rotating and two-thirds of the reciprocating parts are to be balanced in planes of the driving wheels, find the magnitude of swaying couple at 300 rpm. Select one: A. ±33.4 kNm B. ±51.2 kNm C. ±37.5 kNm D. ±27.9 kNmQuestion 5: Balancing A five cylinder in-line engine running at 750 r.p.m. has successive cranks 144° apart, the distance between the cylinder centre lines being 375 mm. The piston stroke is 225 mm and the ratio of the connecting rod to the crank is 4. The reciprocating mass for each cylinder is 15 kg. 5.1. 5.2. Examine the engine for balance of primary forces and couples. 5.3. Calculate the maximum values of unbalanced primary couple. Simply the data in a table form and illustrate the primary and secondary position of the cranks.
- The following data relate to a single cylinder reciprocating engine: Mass of reciprocating parts =50 kg, Mass of rotating parts =34 kg, Speed of the engine =270 rpm, Length of connecting rod 310 mm and Radius of crank = 155 mm. If 50% of the reciprocating parts and all the revolving parts to be balanced, determine the i) Balance mass required at radius of 310 mm, ii) The residual Unbalanced force when the crank has turned from 45° from top dead centre, iii) Maximum variation of Tractive force and iv) Maximum swaying couple if the distance between two cylinder is 310 mm. i) Balance Mass required B= Kg. ii) Residual Unbalanced force when crank at 45° Fr= N. iii) Max Variation of Tractive force Ft = N. iv) Max Swaying couple = N.mFACULTY OF SCIENCES QUESTION NO. 2: In Figure 2, a block m; (m; =1.0 kg) on a frictionless inclined surface is connected to another block m; (m,-2.0 kg). The pulley is massless and frictionless. An upward force of magnitude F=6.0 N acts on m;, which has a downward acceleration of 5.5 m/s. What are (a) the tension in the connecting cord (b) the inclination angle of the plane, B? (c) Discuss the motion of the system in case B-0. DEPARTMENT OF PHYSICS Figure 2Q#01 An eight-cylinder, four-stroke engine of 9 cm bore and 8 cm stroke with a compressionratio of 7 is tested at 4500 rev/min on a dynamometer which has 54 cm arm. During a 10minutes test the dynamometer scale beam reading was 42 kg and the engine consumed4.4 kg of gasoline having a calorific value of 44000 kJ/kg. Air at 27C and 1 bar wassupplied to the carburettor at the rate of 6 kg/min. Take R for air = 287 kJ/(kg·K). Find:(1) the brake power delivered (bp),(2) the brake mean effective pressure (bmep),(3) the brake specific fuel consumption (bsfc),(4) the brake specific air consumption (bsac),(5) the brake thermal efficiency (b, th),(6) the volumetric efficiency (vol), and(7) the air-fuel ratio (A/F) on mass basis.Draw the simplified schematic diagram of the plant showing all the necessary data displayed on it
- H.W (2):During a trial on steam engine, it is found that the acceleration of the piston is 36 m/s2 when the crank has moved 30° from the inner dead center position. The net effective steam pressure on the piston is 0.5 N/mm2 and the frictional resistance is equivalent to a force of 600 N. The diameter of the piston is 300 mm and the mass of the reciprocating parts is 180 kg. If the length of the crank is 300 mm and the ratio of the connecting rod length to the crank length is 4.5, find: 1. Reaction on the guide bars, 2. Thrust on the crank shaft bearings, and 3. Turning moment on the crank shaft.A variable force P=49t N is applied as shown on a particle of mass m=20 Kg which rests on a rough plane. The rough plane has a static and kinetic friction coefficients of 0.5 and 0.25, respectively. time to start motion (sec) Oa. 10 Ob. 2.75 Oc. 4.4 Od. 5.5 Oe. 16.5 velocity at t=4 s (m/s) velocity at t=10 s (m/s) Friction at t=10 S (N) Oa. 29.4 Ob. 58.8 Oc. 88.2 Od. 117.6 Oe. 14.7 14A wind turbine testing laboratory provided the following results results: • Speed in the feed section = VA • Speed in the discharge section = VD • Feed (cross-section) area = A • Static pressure in the supply section = PA • Temperature in the feed section = T • Static pressure in the discharge section = Patm Estimate the reaction (strength) that the wind turbine will exert on the support with the information you collected in the tests. Take on that the air behaves like a perfect gas.
- During testing of single cylinder two-stroke petrol engine following data were obtained. Brake torque = 640 Nm, cylinder diameter 21 cm, speed 350 rpm, stroke length = 28 cm, mean effective pressure = 5.6 bar, oil consumption = 8.16 kg/h, calorific value of the fuel = 42,705 kj/kg. Determine: Srake thermal efficiencyA T Motor Log Mass - 800 kg T (kN) T-0.5t 4.5 t (s) 3 53 Fig. 4 Fig. 4 shows the log has a mass of 800 kg and rests on the ground for which the coefficients of statics and kinetic friction are µ, = 0.1 and Hx = 0.01, respectively. The motor delivers a horizontal towing force T to its cable at A which varies as a linear function for t 2 3s and T = 0.5t? for t < 3s as shown in the graph. Originally the tension in the cable is zero. a. Determine the time at which the log starts to move.(e) Calculate the angular velocity of the gas mixture sing paddle wheel model of two- cylinder engine by assuming swirl ratio is 11. Use the following data: i. air to fuel ratio 8.8 ii. compressiom ratio-7.2 ii, volunetric efficiency77 iv. indicated thermal efficiency 33 v. mechanical efficiency55 vi. brake power 62000 j/sec vii. engine volmne 1000 cm3 vi. calorific value 45000 kj/m