The compound gear train of a three stages reduction gear is used to transmit power from...

 

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The compound gear train of a three stages reduction gear is used to transmit power from a power source to a drum with 1 meter in diameter, as shown in Figure P4. The power source generates 500 Nm torque at the speed of 500 rpm and can produce acceleration of 10 rad/s. Assume there is no friction in the drum, mass of the cable is negligible and the cable is in-elastic. With this condition, determine the following. Angular velocity and acceleration of the drum. i. ii. Power required to overcome the friction torque in the bearing. Power required to accelerate the inertia of the gear system. Load M that the drum can lift. iv. O Load, M Given:- Number of gear teeth, t:- [1.05 rad/s; 0.2 rad/s; 1.13 kW; 2.12 kW; 3,221.7 kg] Drum 2 Drum 1 (65) (5) wx Equivalent mass moment of inertia, Ieq:- Efficiency of all gear mesh, n:- 112=134=156=90% mm UXX t=40; t=100; t3=40; t4=160 ts=40; t6=200 (4) Figure P4 emmmm Power source Ipower source=2 kgm; Igear 23=10 kgm; Igear 45=20 kgm; Igear 6 & drum=40 kgm Friction torque in bearing, F:- FA=5 Nm; FB-Fc=10 Nm; Fo=Fe=20 Nm; F=FG-50 Nm. The compound gear train of a three stages reduction gear is used to transmit power from a power source to a drum with 1 meter in diameter, as shown in Figure P4. The power source generates 500 Nm torque at the speed of 500 rpm and can produce acceleration of 10 rad/s. Assume there is no friction in the drum, mass of the cable is negligible and the cable is in-elastic. With this condition, determine the following. Angular velocity and acceleration of the drum. i. ii. Power required to overcome the friction torque in the bearing. Power required to accelerate the inertia of the gear system. Load M that the drum can lift. iv. O Load, M Given:- Number of gear teeth, t:- [1.05 rad/s; 0.2 rad/s; 1.13 kW; 2.12 kW; 3,221.7 kg] Drum 2 Drum 1 (65) (5) wx Equivalent mass moment of inertia, Ieq:- Efficiency of all gear mesh, n:- 112=134=156=90% mm UXX t=40; t=100; t3=40; t4=160 ts=40; t6=200 (4) Figure P4 emmmm Power source Ipower source=2 kgm; Igear 23=10 kgm; Igear 45=20 kgm; Igear 6 & drum=40 kgm Friction torque in bearing, F:- FA=5 Nm; FB-Fc=10 Nm; Fo=Fe=20 Nm; F=FG-50 Nm.