Question

Answer the following questions about the illustrated gear train. Assume the input shaft has an angular velocity of 100RPM CCW and 100lb-ft of torque. Show all work and circle answers. (a) (5 points) What is the overall gear ratio between the input and output shaft?! (b) (5 points) What is the torque of the output shaft assuming an ideal system? (c) (5 points) What is the direction that the output shaft is rotating? Clockwise CWyor counterclockwise (CCW)? Draw the direction of each gear on figure below. (d) (5 points) If you were going to purchase a new 10-tooth gear for this setup, what would be the required diametral pitch of the replacement gear? Assume that the pitch radius of the 30-tooth gear is 3 inches.

Answer 1

(a) overall hear Ratio - NF = 10x20x20 - 4000 = 4 = 1.33 NB 30x 10x 10- 3000 3 -1.33 speed out Pet Shast is =) NE= 1.33x100 – 23 RPH No= 133.3Rpm b) are some. -> Te = 1003° 300 ub-ft To8 To are in some shatt To-To - 30078 TE- 2x 300 = 600 lb-ft T 99 Piret LLLLLLLLL => Text = 30.4641 Ty = 300 lb-ft / The output shath is in clock eise direction. cow cow CW CW Module = 0/4 = Ginches = (1/3) DLL Diomebel Pithch- ITM as (T/s)