Question

In this lab you will be experimenting with a table-top compound gear train with which you can change the spacing between shafts to control the center-to-center distance between the gears and, therefore, the amount of backlash. In the figure here, the input Shaft 1 is driven clockwise by a motor that operates at 60 Hertz and delivers 2.5 hp. The gear A has a pitch diameter of 1 inch. All gears in the train have the same diametral pitch. (1 Hz = 60 rpm; 1 hp = 6600 in-lb/s) Input Shaft 1 NA = 20 NB = 70 Shaft 2 NC = 18 ND = 22 Shaft 3 NE = 54 Shaft 4 Output Only pitch circles of gears shown (a) What are the diametral and circular pitches? What is the pitch diameter of the gear on the output Shaft 4, gear E? (b) What is the gear train reduction ratio (ratio of output to input speed)? (c) What is the center-to-center distance between Shaft 2 and Shaft 3? (d) What is the speed of the output Shaft 4 and what direction is it rotating in (e) If it is desired for the output Shaft 4 to rotate 30°, what would be the required rotation of the input Shaft 1 (f) What is the torque delivered to the output Shaft 4 if the entire gear train has an efficiency of 92%?

          In this lab you will be experimenting with a table-top compound gear train with which you can change the spacing between shafts to control the center-to-center distance between the gears and, therefore, the amount of backlash.

In the figure here, the input Shaft 1 is driven clockwise by a motor that operates at 60 Hertz and delivers 2.5 hp. The gear A has a pitch diameter of 1 inch. All gears in the train have the same diametral pitch. (1 Hz = 60 rpm; 1 hp = 6600 in-lb/s)

Input Shaft 1 NA = 20
NB = 70
Shaft 2 NC = 18
ND = 22
Shaft 3 NE = 54
Shaft 4 Output
Only pitch circles of gears shown

(a) What are the diametral and circular pitches? What is the pitch diameter of the gear on the output Shaft 4, gear E?

(b) What is the gear train reduction ratio (ratio of output to input speed)?

(c) What is the center-to-center distance between Shaft 2 and Shaft 3?

(d) What is the speed of the output Shaft 4 and what direction is it rotating in

(e) If it is desired for the output Shaft 4 to rotate 30°, what would be the required rotation of the input Shaft 1

(f) What is the torque delivered to the output Shaft 4 if the entire gear train has an efficiency of 92%?

In this lab you will be experimenting with a table-top compound gear train with which you can change the spacing between shafts to control the center-to-center distance between the gears and, therefore, the amount of backlash.

In the figure here, the input Shaft 1 is driven clockwise by a motor that operates at 60 Hertz and delivers 2.5 hp. The gear A has a pitch diameter of 1 inch. All gears in the train have the same diametral pitch. (1 Hz = 60 rpm; 1 hp = 6600 in-lb/s)

Input Shaft 1 NA = 20
NB = 70
Shaft 2 NC = 18
ND = 22
Shaft 3 NE = 54
Shaft 4 Output
Only pitch circles of gears shown

(a) What are the diametral and circular pitches? What is the pitch diameter of the gear on the output Shaft 4, gear E?

(b) What is the gear train reduction ratio (ratio of output to input speed)?

(c) What is the center-to-center distance between Shaft 2 and Shaft 3?

(d) What is the speed of the output Shaft 4 and what direction is it rotating in

(e) If it is desired for the output Shaft 4 to rotate 30°, what would be the required rotation of the input Shaft 1

(f) What is the torque delivered to the output Shaft 4 if the entire gear train has an efficiency of 92%?

Added by Aaron M.

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