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Two mating spur gear have 60 and 180 teeth respectively. The pinion rotates at 1200 rpm and transmits a torque of 40 Nm. The torque transmitted by gear is __________ Nm.
Options`
(A) 120
(B) 120
Correct answer is between ','. Can you explain this answer?
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Verified Answer
Two mating spur gear have 60 and 180 teeth respectively. The pinion r...
NgTg = NpTp (T is torque, Z is number)
Ng = 400 rpm
Hence, 400 x Tg = 1200 x 40
Tg = 120 Nm
Most Upvoted Answer
Two mating spur gear have 60 and 180 teeth respectively. The pinion r...
Calculation of Torque Transmitted by Gear:
To calculate the torque transmitted by the gear, we can use the formula:
\[\text{Torque} = \frac{\text{Torque}_{\text{pinion}} \times \text{Teeth}_{\text{pinion}}}{\text{Teeth}_{\text{gear}}}\]
Given Data:
- Teeth on pinion (smaller gear) = 60
- Teeth on gear (larger gear) = 180
- Torque on pinion = 40 Nm
- Speed of pinion = 1200 rpm
Calculations:
- Speed ratio = Teeth on gear/Teeth on pinion = 180/60 = 3
- Speed of gear = Speed of pinion/Speed ratio = 1200 rpm/3 = 400 rpm
- Torque on gear = Torque on pinion x Teeth on pinion/Teeth on gear
- Torque on gear = 40 Nm x 60/180 = 40 Nm x 1/3 = 13.33 Nm
Therefore, the torque transmitted by the gear is approximately 13.33 Nm.
To calculate the torque transmitted by the gear, we can use the formula:
\[\text{Torque} = \frac{\text{Torque}_{\text{pinion}} \times \text{Teeth}_{\text{pinion}}}{\text{Teeth}_{\text{gear}}}\]
Given Data:
- Teeth on pinion (smaller gear) = 60
- Teeth on gear (larger gear) = 180
- Torque on pinion = 40 Nm
- Speed of pinion = 1200 rpm
Calculations:
- Speed ratio = Teeth on gear/Teeth on pinion = 180/60 = 3
- Speed of gear = Speed of pinion/Speed ratio = 1200 rpm/3 = 400 rpm
- Torque on gear = Torque on pinion x Teeth on pinion/Teeth on gear
- Torque on gear = 40 Nm x 60/180 = 40 Nm x 1/3 = 13.33 Nm
Therefore, the torque transmitted by the gear is approximately 13.33 Nm.
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Two mating spur gear have 60 and 180 teeth respectively. The pinion rotates at 1200 rpm and transmits a torque of 40 Nm. The torque transmitted by gear is __________ Nm.Options`(A) 120(B) 120Correct answer is between ','. Can you explain this answer?
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Two mating spur gear have 60 and 180 teeth respectively. The pinion rotates at 1200 rpm and transmits a torque of 40 Nm. The torque transmitted by gear is __________ Nm.Options`(A) 120(B) 120Correct answer is between ','. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Two mating spur gear have 60 and 180 teeth respectively. The pinion rotates at 1200 rpm and transmits a torque of 40 Nm. The torque transmitted by gear is __________ Nm.Options`(A) 120(B) 120Correct answer is between ','. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two mating spur gear have 60 and 180 teeth respectively. The pinion rotates at 1200 rpm and transmits a torque of 40 Nm. The torque transmitted by gear is __________ Nm.Options`(A) 120(B) 120Correct answer is between ','. Can you explain this answer?.
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