(c) A rotating load is directly coupled to a motor with moment of inertia Jo, and the load then connecting in series with nth number of another rotating loads. The series loads have moment of inertias J1, J2, .. , Jn, respectively and each of them are joint through gear system with gear teeth ratios of a1, a2, .... , an. If kinetic energy of moving part is given by 2 (i) show that the total moment of inertia of the drive system referred to the motor shaft can be expressed by J=J,+a,°J, +a,J+ ....a,“ J, (ii) Sketch a block diagram to describe the above drive system.

(c) A rotating load is directly coupled to a motor with moment of inertia Jo, and the load then connecting in series with nth number of another rotating loads. The series loads have moment of inertias J1, J2, .. , Jn, respectively and each of them are joint through gear system with gear teeth ratios of a1, a2, .... , an. If kinetic energy of moving part is given by 2 (i) show that the total moment of inertia of the drive system referred to the motor shaft can be expressed by J=J,+a,°J, +a,J+ ....a,“ J, (ii) Sketch a block diagram to describe the above drive system.

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

The figure shows spur gear wheels consisting of two stages with an electric motor used to drive a rope drum. Engine rpm nm = 970 rpm ; desired speed of drum nT = 50 rpm ;since the drum diameter is DT = 40 cm and the load from the rope is Qh = 4000 N: ⦁ (İt) how much is the total cycle rate? ⦁ z4 find the number of teeth of the drum gear, How much is the drum speed realized in this case? ⦁ find the rotation moment on the drum shaft ⦁ since the collection efficiency of the mechanism is nt = 0.82 How much “ Nm " motor power should be
As for a gear mechanism, if the contact ratio eα=1.35, which means that while operating, there are_______ % of the time for two pairs of teeth engagement, and _______ % for one pair engagement.
A gear box has an input speed of 1500 rev/min clockwise and an output speed of 300 rev/min anticlockwise. The input power is 20kW and the efficiency is 70%. Determine the followings. a). The velocity ratio(or geo ratio) b). The input torque c). The output power d). The output torque e). The holding torque
A power of 25 KW is transmitted by a pair of spur gears. Pressure angle= 20, radial force generated is 220 daN, the first gear speed is 600 rpm and the number of teeth is 33, the rotation ratio is 3 and the pitch diameter of the second gear how much?
A spur pinion of pitch diameter 50 mm rotates at 200 rad/s and transmits 3 kW power. The pressure angle of the tooth of the pinion is 20°. find the total force exerted by a tooth of the pinion on other gear?
Imagine two ordinary gears of different diameters meshed together, with the larger being the driver. If the larger gear has 108 teeth around its circumference and rotates at 5.80 rad/s, the smaller gear, which has only 20 teeth, will rotate at what speed?
1. The blades of a rotary lawnmower are 30cm long and rotate at 315rad/s. Find the linear speed of the blade tips and their angular speed in rpm? 2. A rotating platform is to be used to test aircraft equipment under accelerations of 6 grams. If the equipment is 50cm from the axis, what angular speed is needed?
A chain with speed of 900 fpm has driving sprocket turns at 1000 rpm. If the pitch of chain is 3/4-in, find the number of teeth of driving sprocket. (Ans. 14 teeth)
8.7 A pair of involute gears with 16° pressure angle and 6 mm module is in mesh. The number of teeth on pinion is 16 and its rotational speed is 240 r.p.m. When the gear ratio is just 1.75, find, in order that the interference is just avoided, (a) the addenda on pinion and gear wheel (b) the length of path of contact, and (d) the maximum velocity of sliding of teeth on either side of the pitch point. (DAV Indore, 1989) (Ans. a, 9.6 mm; a 4.2 mm; 35.41 mm; V = 95.58 cm/s) %3D
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%
Two parallel shafts have an angular velocity ratio of 4 to 1 are connected by gears, the largest of which has 40 teeth. Find the number of teeth of smaller gear.
In a single-stage gearbox consisting of helical gear pairs, input speed ng= 900 rpm, input power P1=16 kW, the number of teeth of the pinion gear z1= 20, the number of teeth of the second gear wheel z2= 61. gear wheelmaterial is 20MnCr5, for this material: σem=230 N/mm2, pem=1500 N/mm2 and E= 2.1.105 N/mm2is (Helix angle: β=180; grip angle: α=200; factor of safety: S=1.5; form factor: Kfn=2.7; dynamic loadfactor: Kd=1.25; width factor: ψm=12; clutch ratio: ε = 1.6). (20p)a) Calculate the modulus of the gear pair.Module according to root fracture:(p1)Module according to tooth surface crushing:(p2)(Standard module values: 1 – 1.5 – 2 – 2.5 – 3 – 3.5 – 4 – 5 – 6 – 7 – 8 mm)b) Dimension the gears (Diameters of section circle, head circle and base circle, distance between axes). Pay attention the units