H.W. Questions 17-11-2024 1- Two gears with a module of 2 mm are mounted at a center distance of 130 mm in a 4:1 ratio reduction gearset. Find the number of teeth in each gear. 2. Calculate the thickness measured along the pitch circle of a spur gear tooth with a module of 4 mm. 3. A 32-tooth gear with an 8-diametral pitch meshes with a 65-tooth gear. Determine the value of the standard center distance. 4. Determine the thickness of a spur gear tooth with a diametral pitch of 8, measured along the pitch circle. 5. Two gears in a 2:1 ratio gearset and with a diametral pitch of 6 are mounted at a center distance of 5 in. Find the number of teeth in each gear. 6. A 20-tooth spur gear with a diametral pitch of 6 meshes with a 55-tooth gear. Determine the value of the standard center distance. Also calculate the thickness of the gear tooth measured along the pitch circle. 7. Two gears in a 3:1 ratio gearset and with a diametral pitch of 4 are mounted at a center distance of 6 in. Find the number of teeth in each gear. 8. A pair of spur gears on 168 mm centers have a 3:1 speed reduction ratio. With a module of 4 mm, what are the numbers of teeth and pitch diameters of the two gears? 9. A 24-tooth pinion has a module of 2 mm, rotates 2400 rpm, and drives an 800-rpm gear. Determine the number of teeth on the gear, the circular pitch, and the theoretical center distance. Figure P15.23 shows a two-stage gear reducer. Identical pairs of gears are used. (This enables input shaft a and output shaft c to be colinear, which facilitates machining of the housing.) Shaft b, called the countershaft, turns freely in bearings A and B, except for the gear-tooth forces. (a) Determine the rpm of shafts b and c, the pitch diameters of the pinion and gear, and the circular pitch. (b) Determine the torque carried by each of the shafts a, b, and c: (i) assuming 100% gear efficiency, and (ii) assuming 95% efficiency of each gear pair. 45 1 kW, 1200-pm motor coupled to this shaft 10. 45 teeth 1-5,6-25 15 teeth Driven machine coupled to this
H.W. Questions 17-11-2024 1- Two gears with a module of 2 mm are mounted at a center distance of 130 mm in a 4:1 ratio reduction gearset. Find the number of teeth in each gear. 2. Calculate the thickness measured along the pitch circle of a spur gear tooth with a module of 4 mm. 3. A 32-tooth gear with an 8-diametral pitch meshes with a 65-tooth gear. Determine the value of the standard center distance. 4. Determine the thickness of a spur gear tooth with a diametral pitch of 8, measured along the pitch circle. 5. Two gears in a 2:1 ratio gearset and with a diametral pitch of 6 are mounted at a center distance of 5 in. Find the number of teeth in each gear. 6. A 20-tooth spur gear with a diametral pitch of 6 meshes with a 55-tooth gear. Determine the value of the standard center distance. Also calculate the thickness of the gear tooth measured along the pitch circle. 7. Two gears in a 3:1 ratio gearset and with a diametral pitch of 4 are mounted at a center distance of 6 in. Find the number of teeth in each gear. 8. A pair of spur gears on 168 mm centers have a 3:1 speed reduction ratio. With a module of 4 mm, what are the numbers of teeth and pitch diameters of the two gears? 9. A 24-tooth pinion has a module of 2 mm, rotates 2400 rpm, and drives an 800-rpm gear. Determine the number of teeth on the gear, the circular pitch, and the theoretical center distance. Figure P15.23 shows a two-stage gear reducer. Identical pairs of gears are used. (This enables input shaft a and output shaft c to be colinear, which facilitates machining of the housing.) Shaft b, called the countershaft, turns freely in bearings A and B, except for the gear-tooth forces. (a) Determine the rpm of shafts b and c, the pitch diameters of the pinion and gear, and the circular pitch. (b) Determine the torque carried by each of the shafts a, b, and c: (i) assuming 100% gear efficiency, and (ii) assuming 95% efficiency of each gear pair. 45 1 kW, 1200-pm motor coupled to this shaft 10. 45 teeth 1-5,6-25 15 teeth Driven machine coupled to this
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
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
Transcribed Image Text:H.W. Questions 17-11-2024
1- Two gears with a module of 2 mm are mounted at a center distance of 130 mm in a 4:1 ratio
reduction gearset. Find the number of teeth in each gear.
2. Calculate the thickness measured along the pitch circle of a spur gear tooth with a module of
4 mm.
3. A 32-tooth gear with an 8-diametral pitch meshes with a 65-tooth gear. Determine the value
of the standard center distance.
4. Determine the thickness of a spur gear tooth with a diametral pitch of 8, measured along the
pitch circle.
5. Two gears in a 2:1 ratio gearset and with a diametral pitch of 6 are mounted at a center
distance of 5 in. Find the number of teeth in each gear.
6. A 20-tooth spur gear with a diametral pitch of 6 meshes with a 55-tooth gear. Determine the
value of the standard center distance. Also calculate the thickness of the gear tooth
measured along the pitch circle.
7. Two gears in a 3:1 ratio gearset and with a diametral pitch of 4 are mounted at a center
distance of 6 in. Find the number of teeth in each gear.
8. A pair of spur gears on 168 mm centers have a 3:1 speed reduction ratio. With a module of
4 mm, what are the numbers of teeth and pitch diameters of the two gears?
9. A 24-tooth pinion has a module of 2 mm, rotates 2400 rpm, and drives an 800-rpm gear.
Determine the number of teeth on the gear, the circular pitch, and the theoretical center
distance.
Figure P15.23 shows a two-stage gear reducer. Identical pairs of gears are used.
(This enables input shaft a and output shaft c to be colinear, which facilitates
machining of the housing.) Shaft b, called the countershaft, turns freely in bearings
A and B, except for the gear-tooth forces.
(a) Determine the rpm of shafts b and c, the pitch diameters of the pinion and gear,
and the circular pitch.
(b) Determine the torque carried by each of the shafts a, b, and c: (i) assuming
100% gear efficiency, and (ii) assuming 95% efficiency of each gear pair.
45
1 kW, 1200-pm
motor coupled
to this shaft
10.
45 teeth
1-5,6-25
15 teeth
Driven machine
coupled to this
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