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The height of a simple Watt governor running at a speed ‘N’ is proportional to
- a)N
- b)1/N
- c)N2
- d)1/N2
Correct answer is option 'D'. Can you explain this answer?
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The height of a simple Watt governor running at a speed ‘N’...
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Introduction:
The Watt governor is a type of centrifugal governor that was invented by James Watt in the 18th century. It is primarily used to control the speed of an engine or a machine by regulating the fuel supply. The height of the governor is an important parameter that affects its performance.
Explanation:
The height of the Watt governor is directly related to its speed, denoted by N. Let's analyze the given options to understand why option 'D' is the correct answer.
Option A: Nb
If the height of the governor is proportional to N multiplied by b, it implies that the height increases linearly with the speed. However, this contradicts the behavior of the Watt governor, as its height should decrease as the speed increases.
Option B: 1/N
If the height of the governor is inversely proportional to N, it means that the height decreases as the speed increases. This aligns with the behavior of the Watt governor, as the centrifugal force acting on the governor balls increases with speed, causing them to move outward and lower the height of the governor.
Option C: N^2
If the height of the governor is proportional to N squared, it implies that the height increases exponentially with the speed. Again, this contradicts the behavior of the Watt governor, as its height should decrease with increasing speed.
Option D: 1/N^2
If the height of the governor is inversely proportional to N squared, it means that the height decreases rapidly as the speed increases. This is consistent with the behavior of the Watt governor, as the centrifugal force acting on the governor balls increases with speed, causing them to move outward and lower the height of the governor.
Conclusion:
Based on the analysis, it can be concluded that option 'D' is the correct answer. The height of a simple Watt governor running at a speed N is proportional to 1/N^2.
The Watt governor is a type of centrifugal governor that was invented by James Watt in the 18th century. It is primarily used to control the speed of an engine or a machine by regulating the fuel supply. The height of the governor is an important parameter that affects its performance.
Explanation:
The height of the Watt governor is directly related to its speed, denoted by N. Let's analyze the given options to understand why option 'D' is the correct answer.
Option A: Nb
If the height of the governor is proportional to N multiplied by b, it implies that the height increases linearly with the speed. However, this contradicts the behavior of the Watt governor, as its height should decrease as the speed increases.
Option B: 1/N
If the height of the governor is inversely proportional to N, it means that the height decreases as the speed increases. This aligns with the behavior of the Watt governor, as the centrifugal force acting on the governor balls increases with speed, causing them to move outward and lower the height of the governor.
Option C: N^2
If the height of the governor is proportional to N squared, it implies that the height increases exponentially with the speed. Again, this contradicts the behavior of the Watt governor, as its height should decrease with increasing speed.
Option D: 1/N^2
If the height of the governor is inversely proportional to N squared, it means that the height decreases rapidly as the speed increases. This is consistent with the behavior of the Watt governor, as the centrifugal force acting on the governor balls increases with speed, causing them to move outward and lower the height of the governor.
Conclusion:
Based on the analysis, it can be concluded that option 'D' is the correct answer. The height of a simple Watt governor running at a speed N is proportional to 1/N^2.
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The height of a simple Watt governor running at a speed ‘N’is proportional toa)Nb)1/Nc)N2d)1/N2Correct answer is option 'D'. Can you explain this answer?
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The height of a simple Watt governor running at a speed ‘N’is proportional toa)Nb)1/Nc)N2d)1/N2Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The height of a simple Watt governor running at a speed ‘N’is proportional toa)Nb)1/Nc)N2d)1/N2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The height of a simple Watt governor running at a speed ‘N’is proportional toa)Nb)1/Nc)N2d)1/N2Correct answer is option 'D'. Can you explain this answer?.
The height of a simple Watt governor running at a speed ‘N’is proportional toa)Nb)1/Nc)N2d)1/N2Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The height of a simple Watt governor running at a speed ‘N’is proportional toa)Nb)1/Nc)N2d)1/N2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The height of a simple Watt governor running at a speed ‘N’is proportional toa)Nb)1/Nc)N2d)1/N2Correct answer is option 'D'. Can you explain this answer?.
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