Figure Q3 shows the relation between input torque and crank angle for an engine rotating at aconstant speed of 500 rpm. The maximum fluctuation of speed is limited to 10%. Determine: -(i)(iii)(iv)The mean torque Tm.The power of the source, P.The mass moment of inertia of flywheel, I.Calculate the dimensions of the flywheel if radius of flywheel is 4 times of thickness andthe density of material is 7500 kg/m³T (Nm)18010040-15391013t (s)

Given: Speed is 500 rpm. Speed fluctuation is 10%

Answered: moment of inertia of the dimensions of…

Engineering

Mechanical Engineering

moment of inertia of the dimensions of the

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

a) Engine-Pump mechanism in Figure 3.1 shows few gears meshing with different parameters . Based on the picture shown below. Given: n1 = 500 rpm; N1 = 20; N2 = 70; N3 = 18; N4 = 54 Compute : (i) value of n4 (i) Torque and power changes at Gear 4 n1, N1 n4, N4 Engine Pump n2, N2 n3, N3 Figure 3.1
An engine develops 200 kW of power at a mean speed of 75 rpm. The coefficient of energy fluctuation is 0.15 and speed fluctuates within ±3% of the mean speed. Find the moment of inertia of the flywheel that must attached to the crankshaft of the engine in order to maintain the speedwithin the acceptable range.
A mono-cylinder engine has r = 0.3 m, l = 0.9 m, It has: crank mass m2 = 4.5 kg , crank rG2 = 0.4r, conrod mass m3 = 12 kg ,conrod rG3 = 0.3l from A, and piston m4 = 5 kg. The crank is rotating at constant speed ω =3000 rpm. The following equation is an approximation of the gas force over 180° of crank angle with Fgmax = 3000 N and β = 15º. we need to find the gas force, gas torque, and inertia force . Use approximate expressions in your calculation
Figure Q4 shows a Mach trim system from a 737-800. It consists of a hydraulic motor driving gear A which drives gear B. Gear B is directly connected to the horizontal stabiliser via rack and pinion as depicted below. Gear A has a mass of 6kg, a radius of gyration of KGA = 0.1235m and an angular acceleration of 20kg, and a radius of gyration of Ö = 0.2t rad/s². Gear B has a mass of m = m = = 0.5341m. If the system starts from rest, determine the following when t = 3s: KGb a) The velocity of the gear rack. b) The distance the rack has travelled. c) If there is a contact force between the rack and gear B of 50N, determine the contact force between Gear A and B. d) The applied torque from the hydraulic motor. 100mm 500mm B 200mm Figure Q4-Mach Trim System tastes ins
The turning moment diagram for the engine is drawn to the following scales: Turning moment, 1 mm = 1000 N-m and crank angle, 1 mm = - 6°. The areas above and below the mean turning moment line taken in order are : 530, 330, 380, 470, 180, 360, 350 and 280 mm². The mean speed of the engine is 150 r.p.m. and the total fluctuation of speed must not exceed 3.5% of mean speed. Determine the diameter and mass of the flywheel rim, assuming that the total energy of the flywheel to be 15/14 that of rim. The peripheral velocity of the flywheel is 15 m/s. Find also the suitable cross-scetional area of the rim of the flywheel. Take density of the material of the rim as 7200 kg/m³. [Ans. 1.91 m; 8063 kg; 0.1866 m²]
give the a) A turbine connected to an electric generator through a gearbox can be modelled as illustrated in Figure 1 = 951 kgm² J2 = 950 kgm² equivalent inertias of the rotary system. The shafts provide a stiffness of k1 = 9.9x10¹Nm/Rad k2 = 4.9x106Nm/Rad spectively. The letters in the parameters represent digits of student numbers: A is the third digit, B is the fifth digit, D is the sixth digit, and F is the seventh digit. i) Draw free-body diagrams ii) Write the equations and put them in matrix form iii) Calculate the dynamic stiffness values iv) Find the natural frequencies and draw mode shapes of the system v) Discuss the effect of coupling stiffness k₁₂ on the natural frequencies k₁₁ 01 k12 O Figure Q2.
An engine has three single-acting cylinders whose cranks are spaced at 120° to each other. The turn- ng moment diagram for each cylinder consists of a triangle having the following values: Angle 0° 60° 180° 180° – 360° Torque (N-m) 200 Find the mean torque and the moment of inertia of the flywheel to keep the speed within 180±3 r.p.m.
3. An engine has three single-acting cylinders whose cranks are spaced at 120° to each other. The turning moment diagram for each cylinder consists of a triangle having the following values: 0° 60° 180° 180° - 360° Angle Torque (Nm) 200 Find the mean torque and the moment of inertia of the flywheel to keep the overall variation within 3% of the mean speed of 180 rpm.
Find the average piston velocity (between limiting positions) for an in-line slider-crank mechanism. The crank length is 2inch, and the crank rotates at 3000rev/min.
Q3:- The turning moment curve for an engine is represented by the equation T = 2000 + 950sin20 – 570cos20 N.m where 0 is the angle moved by crank from the inner dead center position. If the resisting torque is constant, find: (1) horsepower developed by the engine, (2) moment of inertia of the flywheel if the total fluctuation of speed is not to exceed 1% of the mean speed which is 180 rpm and (3) angular acceleration of the flywheel when the crank has turned through 45° from its inner dead center position.
the figure shows a motor driving a two-output transmission system. The blower requires a certain amount of force to operate since the drum rotates at an angular acceleration of 0.03 rad/s2. Determine the torque produced by a motor with a torque of 700 Nm and a speed of 1,600 rpm. following:- The power produced at the drum (P). The torque requirement for the blower to operate (Tblower) and power generation (Pblower) The overall efficiency transmission of the gear system, hO. If the speed of motor is NOT given, explain without calculation how the overall efficiency transmission of the gear system can be obtained. Given:- Number of gear teeth, t:- t1=40 ; t2=200 ; t3=50 ; t4=200 ; t5=40 ; t6=120 ; t7=60 and t8=120 Equivalent mass moment of inertia, Ieq:- Imotor,5=25 kgm2 ; I23=10 kgm2 ; Iblower,4=15 kgm2 ; I67=20 kgm2 and Idrum,8=60 kgm2 Friction torque in bearing, Fb:- A=F=25 Nm ; I=J =20 Nm ; B=C=G=H=5 Nm and D=E=10 Nm Efficiency of all gear mesh, ⴄ=85%
Match the items in columnsI and II. Column I P. Addendum Q. Instantaneous center of velocity R. Section modulus S. Prime circle Column II 1. Cam 2. Beam 3. Linkage 4. Gear (a) P-4, Q-2, R-3, S-1 (b) P-4, Q-3, R-2, S-1 (c) P-3, Q-2, R-1, S-4 (d) P-3, Q-4, R-1, S-2