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In a tractor rear axle differential, the bevel pinion has 12 teeth and bevel/crown gear has 42 teeth. The input speed and torque of the bevel pinion are 520 rpm and 1200 N m, respectively. There is a planetary gear between the differential unit and each half axle with 4:1 speed reduction. The left wheel encounters poor traction when the tractor is moving in straight path that causes 15% drop in the left axle torque. If the differential efficiency is 0.98, the right axle torque under locked differential condition in N m will be __________.
Correct answer is between '9320,9330'. Can you explain this answer?
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In a tractor rear axle differential, the bevel pinion has 12 teeth and...
Given data:
- Bevel pinion teeth (N1) = 12
- Bevel/crown gear teeth (N2) = 42
- Input speed of bevel pinion (ω1) = 520 rpm
- Input torque of bevel pinion (T1) = 1200 Nm
- Speed reduction of planetary gear (R) = 4:1
- Left axle torque drop (ΔT) = 15%
- Differential efficiency (η) = 0.98
Calculating bevel gear speed:
The speed of the bevel gear can be calculated using the formula:
ω2 = (N1/N2) * ω1
ω2 = (12/42) * 520
ω2 = 148.57 rpm
Calculating bevel gear torque:
The torque of the bevel gear can be calculated using the formula:
T2 = (N2/N1) * T1
T2 = (42/12) * 1200
T2 = 4200 Nm
Calculating left axle torque:
The left axle torque can be calculated using the formula:
T_left = T2 * η * R
T_left = 4200 * 0.98 * 4
T_left = 16464 Nm
Calculating right axle torque:
The right axle torque under locked differential condition can be calculated by considering the torque drop in the left axle:
T_right = T_left - ΔT * T_left
T_right = 16464 - 0.15 * 16464
T_right = 16464 - 2469.6
T_right = 13994.4 Nm
Therefore, the right axle torque under locked differential condition is approximately 13994.4 Nm, which falls between the range of 9320 and 9330 Nm.
- Bevel pinion teeth (N1) = 12
- Bevel/crown gear teeth (N2) = 42
- Input speed of bevel pinion (ω1) = 520 rpm
- Input torque of bevel pinion (T1) = 1200 Nm
- Speed reduction of planetary gear (R) = 4:1
- Left axle torque drop (ΔT) = 15%
- Differential efficiency (η) = 0.98
Calculating bevel gear speed:
The speed of the bevel gear can be calculated using the formula:
ω2 = (N1/N2) * ω1
ω2 = (12/42) * 520
ω2 = 148.57 rpm
Calculating bevel gear torque:
The torque of the bevel gear can be calculated using the formula:
T2 = (N2/N1) * T1
T2 = (42/12) * 1200
T2 = 4200 Nm
Calculating left axle torque:
The left axle torque can be calculated using the formula:
T_left = T2 * η * R
T_left = 4200 * 0.98 * 4
T_left = 16464 Nm
Calculating right axle torque:
The right axle torque under locked differential condition can be calculated by considering the torque drop in the left axle:
T_right = T_left - ΔT * T_left
T_right = 16464 - 0.15 * 16464
T_right = 16464 - 2469.6
T_right = 13994.4 Nm
Therefore, the right axle torque under locked differential condition is approximately 13994.4 Nm, which falls between the range of 9320 and 9330 Nm.
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In a tractor rear axle differential, the bevel pinion has 12 teeth and bevel/crown gear has 42 teeth. The input speed and torque of the bevel pinion are 520 rpm and 1200 N m, respectively. There is a planetary gear between the differential unit and each half axle with 4:1 speed reduction. The left wheel encounters poor traction when the tractor is moving in straight path that causes 15% drop in the left axle torque. If the differential efficiency is 0.98, the right axle torque under locked differential condition in N m will be __________.Correct answer is between '9320,9330'. Can you explain this answer?
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In a tractor rear axle differential, the bevel pinion has 12 teeth and bevel/crown gear has 42 teeth. The input speed and torque of the bevel pinion are 520 rpm and 1200 N m, respectively. There is a planetary gear between the differential unit and each half axle with 4:1 speed reduction. The left wheel encounters poor traction when the tractor is moving in straight path that causes 15% drop in the left axle torque. If the differential efficiency is 0.98, the right axle torque under locked differential condition in N m will be __________.Correct answer is between '9320,9330'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In a tractor rear axle differential, the bevel pinion has 12 teeth and bevel/crown gear has 42 teeth. The input speed and torque of the bevel pinion are 520 rpm and 1200 N m, respectively. There is a planetary gear between the differential unit and each half axle with 4:1 speed reduction. The left wheel encounters poor traction when the tractor is moving in straight path that causes 15% drop in the left axle torque. If the differential efficiency is 0.98, the right axle torque under locked differential condition in N m will be __________.Correct answer is between '9320,9330'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a tractor rear axle differential, the bevel pinion has 12 teeth and bevel/crown gear has 42 teeth. The input speed and torque of the bevel pinion are 520 rpm and 1200 N m, respectively. There is a planetary gear between the differential unit and each half axle with 4:1 speed reduction. The left wheel encounters poor traction when the tractor is moving in straight path that causes 15% drop in the left axle torque. If the differential efficiency is 0.98, the right axle torque under locked differential condition in N m will be __________.Correct answer is between '9320,9330'. Can you explain this answer?.
In a tractor rear axle differential, the bevel pinion has 12 teeth and bevel/crown gear has 42 teeth. The input speed and torque of the bevel pinion are 520 rpm and 1200 N m, respectively. There is a planetary gear between the differential unit and each half axle with 4:1 speed reduction. The left wheel encounters poor traction when the tractor is moving in straight path that causes 15% drop in the left axle torque. If the differential efficiency is 0.98, the right axle torque under locked differential condition in N m will be __________.Correct answer is between '9320,9330'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In a tractor rear axle differential, the bevel pinion has 12 teeth and bevel/crown gear has 42 teeth. The input speed and torque of the bevel pinion are 520 rpm and 1200 N m, respectively. There is a planetary gear between the differential unit and each half axle with 4:1 speed reduction. The left wheel encounters poor traction when the tractor is moving in straight path that causes 15% drop in the left axle torque. If the differential efficiency is 0.98, the right axle torque under locked differential condition in N m will be __________.Correct answer is between '9320,9330'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a tractor rear axle differential, the bevel pinion has 12 teeth and bevel/crown gear has 42 teeth. The input speed and torque of the bevel pinion are 520 rpm and 1200 N m, respectively. There is a planetary gear between the differential unit and each half axle with 4:1 speed reduction. The left wheel encounters poor traction when the tractor is moving in straight path that causes 15% drop in the left axle torque. If the differential efficiency is 0.98, the right axle torque under locked differential condition in N m will be __________.Correct answer is between '9320,9330'. Can you explain this answer?.
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In a tractor rear axle differential, the bevel pinion has 12 teeth and bevel/crown gear has 42 teeth. The input speed and torque of the bevel pinion are 520 rpm and 1200 N m, respectively. There is a planetary gear between the differential unit and each half axle with 4:1 speed reduction. The left wheel encounters poor traction when the tractor is moving in straight path that causes 15% drop in the left axle torque. If the differential efficiency is 0.98, the right axle torque under locked differential condition in N m will be __________.Correct answer is between '9320,9330'. Can you explain this answer?, a detailed solution for In a tractor rear axle differential, the bevel pinion has 12 teeth and bevel/crown gear has 42 teeth. The input speed and torque of the bevel pinion are 520 rpm and 1200 N m, respectively. There is a planetary gear between the differential unit and each half axle with 4:1 speed reduction. The left wheel encounters poor traction when the tractor is moving in straight path that causes 15% drop in the left axle torque. If the differential efficiency is 0.98, the right axle torque under locked differential condition in N m will be __________.Correct answer is between '9320,9330'. Can you explain this answer? has been provided alongside types of In a tractor rear axle differential, the bevel pinion has 12 teeth and bevel/crown gear has 42 teeth. The input speed and torque of the bevel pinion are 520 rpm and 1200 N m, respectively. There is a planetary gear between the differential unit and each half axle with 4:1 speed reduction. The left wheel encounters poor traction when the tractor is moving in straight path that causes 15% drop in the left axle torque. If the differential efficiency is 0.98, the right axle torque under locked differential condition in N m will be __________.Correct answer is between '9320,9330'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In a tractor rear axle differential, the bevel pinion has 12 teeth and bevel/crown gear has 42 teeth. The input speed and torque of the bevel pinion are 520 rpm and 1200 N m, respectively. There is a planetary gear between the differential unit and each half axle with 4:1 speed reduction. The left wheel encounters poor traction when the tractor is moving in straight path that causes 15% drop in the left axle torque. If the differential efficiency is 0.98, the right axle torque under locked differential condition in N m will be __________.Correct answer is between '9320,9330'. Can you explain this answer? tests, examples and also practice GATE tests.
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