Two gear pairs have the same center distance is used to form a compound reverted gear train that will transmit power from the motor to a driven machine E as revealed in Figure Q3. The design parameters of the gear train are shown in Table Q3.
Figure Q3: Two-stage reverted gear train
Table Q3: Design parameters
Diameter of gear 2, d2 = 80 mm
Diameter of gear 3, d3 = 200 mm
Diameter of gear 4, d4 = 100 mm
Diameter of Gear 5, d5 = 200 mm
Module, m = 4 mm
Input Power, Winput = 10 kW
Gear 4 speed, n4 = 500 rpm
D = 50 mm
Center distance, C = 150 mm
Pressure Angle, phi = 20°
i. Determine overall gear ratio of the reverted gear train.
ii. Determine angular speed in rad/s of gear 2 and gear 5.
iii. Draw a free body diagram and compute all the force magnitudes of gear 3, gear 4 and countershaft b.
iv. Assuming that an idler gear is inserted between gear 2 and gear 3, does the idler gear will affect the torque of the output gear (i.e., gear 5)? Explain your answer.