2. Gear dynamics. The gear train above is driven on the input shaft with a 0.5...
2. Gear dynamics. The gear train above is driven on
the input shaft with a 0.5 hp electric motor.
All of the gears have a diametral pitch of 8 teeth per inch.
e) What is the transmitted force between Gears 1 and 2, in
lbf?
f) What is the torque of Gear 1, in in-lbf?
g) What is the torque of Gear 2?
h) The torque of Gear 2 and 3 are the same. What is the torque of
Gear 4?
An input shaft drives Gear 1 with 20 teeth at 1800 rpm
which mates with
the 80-tooth Gear 2 which in on the intermediate shaft. Also on the
intermediate shaft is Gear 3
with 18 teeth. It mates with Gear 4 on the output shaft, where Gear
4 has 90 teeth.
Homework Answers
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2. Gear dynamics. The gear train above is driven on
the input shaft with a 0.5...
2. Gear dynamics. The gear train above is driven on the input shaft with a 0.5...
2. Gear dynamics. The gear train above is driven on the input shaft with a 0.5 hp electric motor. All of the gears have a diametral pitch of 8 teeth per inch. i) What is the ratio of output torque (Gear 4) to input torque (Gear 1)? j) Is it a coincidence that it is the same as the answer in 1 An input shaft drives Gear 1 with 20 teeth at 1800 rpm which mates with the 80-tooth Gear...
2. Gear dynamics. The gear train above is driven on the input shaft with a 0.5...
2. Gear dynamics. The gear train above is driven on the input shaft with a 0.5 hp electric motor. All of the gears have a diametral pitch of 8 teeth per inch. a) What are the diameters of Gears 1, 2, 3, and 4? b) What is the pitch-line velocity of Gear 1, in ft/min? c) Is the pitch-line velocity of Gear 2 the same as Gear 1? d) What is the pitch-line velocity of Gear 3 (and, therefore, Gear...
1. Gear kinematics. An input shaft drives Gear 1 with 20 teeth at 1800 rpm which...
1. Gear kinematics. An input shaft drives Gear 1 with 20 teeth at 1800 rpm which mates with the 80-tooth Gear 2 which in on the intermediate shaft. Also on the intermediate shaft is Gear 3 with 18 teeth. It mates with Gear 4 on the output shaft, where Gear 4 has 90 teeth. a) How fast does Gear 2 spin, in rpm? b) Gears 2 and 3 spin at the same speed, so what is the speed of Gear...
Homework 6: The figure below shows a gear train where gear 1, on shaft a (input...
Homework 6: The figure below shows a gear train where gear 1, on shaft a (input shaft), drives gear 2 with 32 teeth (denoted 32T) on shaft b, gear 3 (20T) also is on shaft b and drives gear 4 (507) on shaft c (output shaft). The pitch diameter of gears 1 and 2 are d = 24 mm and d = 48 mm. The center distance between gears 3 and 4 (distance between shafts b and c is 70mm....
Show all work. A compound reverted gear train will be used to decrease speed with a...
Show all work.
A compound reverted gear train will be used to decrease speed with a ratio of 36 to 1. In the figure below, the input shaft drives gear 5, and the output shaft is driven by gear 2. Use spur gears with a 20 degree pressure angle and a diametral pitch of 5 teeth / in. a) Specify the appropriate numbers of teeth for both gear sets to minimize the gearbox size, while also avoiding gear tooth interference....
A 3-hp motor drives an 18-tooth pinion at 900 rpm that is mated to a 78-tooth...
A 3-hp motor drives an 18-tooth pinion at 900 rpm that is mated to a 78-tooth gear. The gears both have a diametral pitch of 6 TPI a) What is the pitch-line velocity, V, in ft/min? b) What is the force transmitted, W, between the gears, in Ib? e) What is the torque, T, on the pinion, in in- Ibe d) What is the pinion speed, ap, in radians per second? e) What is the gear speed, ng, in rpm...
1. A two-stage compound gear is driven by a 20-hp motor that rotates the shaft 'a'...
1. A two-stage compound gear is driven by a 20-hp motor that rotates the shaft 'a' in CCW as shown in the figure at a speed of 100 rpm. Entire gear set has a diametral pitch of 4 teeth/in and a pressure angle of 20°. The tooth numbers are: N2 = 48, N3 = 72, N4 = 48, and Ns = 120. 5 С a 3 a. Draw the free body diagram of the compound gear 3 and 4 mounted...
A compound epicyclic gear train is shown in the Figure. The shaft P is driven a...
A compound epicyclic gear train is shown in the Figure. The
shaft P is driven a 4000 rpm in the clockwise direction by a motor
of power rating of 10W . The annulus A2 is fixed. The
number of teeth in the gears are , S1,28;
S2,21; A1,72 and A2,99 .
Determine:
The magnitude and direction of the angular velocity of the
shaft Q
The torque required to fix the annulus, A2
A, A₂ P, P2 P P. z S
A compound epicyclic gear train is shown in the Figure. The shaft P is driven at...
A compound epicyclic gear train is shown in the Figure. The
shaft P is driven at 2500 rpm in the clockwise direction by a motor
of power rating 8 kW. The sun S2 is fixed. The number of teeth in
the gears are S1, 34; S2, 21; A1, 86 and A2, 73. Determine
The magnitude and direction of the angular velocity of the
shaft Q and
The torque required to fix the sun, S2
A, Q P S, 5,
Problem 1. Design a reverted gear train for a transmission with three speeds and reverse. For...
Problem 1. Design a reverted gear train for a transmission with three speeds and reverse. For an input speed of 450 rpm to the driving shaft (green), the driven shaft (teal) should have output forward speeds of 75, 300, and 450 rpm, and an output reverse speed of 150 rpm. Assume all gears have a diametral pitch of 10. Gear A (24 teeth) and Gear D (36 teeth) are in constant mesh. Determine the numbers of teeth for ALL six...
Homework 6: The figure below shows a gear train where gear 1, on shaft a (input shaft), drives gear 2 with 32 teeth (denoted 32T) on shaft b, gear 3 (20T) also is on shaft b and drives gear 4 (507) on shaft c (output shaft). The pitch diameter of gears 1 and 2 are d = 24 mm and d = 48 mm. The center distance between gears 3 and 4 (distance between shafts b and c is 70mm....
Show all work.
A compound reverted gear train will be used to decrease speed with a ratio of 36 to 1. In the figure below, the input shaft drives gear 5, and the output shaft is driven by gear 2. Use spur gears with a 20 degree pressure angle and a diametral pitch of 5 teeth / in. a) Specify the appropriate numbers of teeth for both gear sets to minimize the gearbox size, while also avoiding gear tooth interference....
A 3-hp motor drives an 18-tooth pinion at 900 rpm that is mated to a 78-tooth gear. The gears both have a diametral pitch of 6 TPI a) What is the pitch-line velocity, V, in ft/min? b) What is the force transmitted, W, between the gears, in Ib? e) What is the torque, T, on the pinion, in in- Ibe d) What is the pinion speed, ap, in radians per second? e) What is the gear speed, ng, in rpm...
1. A two-stage compound gear is driven by a 20-hp motor that rotates the shaft 'a' in CCW as shown in the figure at a speed of 100 rpm. Entire gear set has a diametral pitch of 4 teeth/in and a pressure angle of 20°. The tooth numbers are: N2 = 48, N3 = 72, N4 = 48, and Ns = 120. 5 С a 3 a. Draw the free body diagram of the compound gear 3 and 4 mounted...
A compound epicyclic gear train is shown in the Figure. The
shaft P is driven a 4000 rpm in the clockwise direction by a motor
of power rating of 10W . The annulus A2 is fixed. The
number of teeth in the gears are , S1,28;
S2,21; A1,72 and A2,99 .
Determine:
The magnitude and direction of the angular velocity of the
shaft Q
The torque required to fix the annulus, A2
A, A₂ P, P2 P P. z S
A compound epicyclic gear train is shown in the Figure. The
shaft P is driven at 2500 rpm in the clockwise direction by a motor
of power rating 8 kW. The sun S2 is fixed. The number of teeth in
the gears are S1, 34; S2, 21; A1, 86 and A2, 73. Determine
The magnitude and direction of the angular velocity of the
shaft Q and
The torque required to fix the sun, S2
A, Q P S, 5,
Problem 1. Design a reverted gear train for a transmission with three speeds and reverse. For an input speed of 450 rpm to the driving shaft (green), the driven shaft (teal) should have output forward speeds of 75, 300, and 450 rpm, and an output reverse speed of 150 rpm. Assume all gears have a diametral pitch of 10. Gear A (24 teeth) and Gear D (36 teeth) are in constant mesh. Determine the numbers of teeth for ALL six...
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