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What will be the vertical height (m) of a watt governor, if the speed of rotation is 80 rpm?
- a)1.4
- b)1.14
- c)0.14
- d)0.11
Correct answer is option 'C'. Can you explain this answer?
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What will be the vertical height (m) of a watt governor, if the speed ...
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What will be the vertical height (m) of a watt governor, if the speed ...
Given:
Speed of rotation = 80 rpm
To find:
Vertical height (h)
Formula:
The vertical height (h) of a watt governor can be calculated using the following formula:
h = 9.81 * (60 / π) * (1 / n^2 - 1)
where:
h = vertical height (m)
n = speed of rotation (rpm)
Calculation:
Substituting the given values into the formula:
h = 9.81 * (60 / π) * (1 / 80^2 - 1)
h = 9.81 * (60 / π) * (1 / 6400 - 1)
h = 9.81 * (60 / π) * (-0.00015625)
h = -0.00095625 * 9.81 * (60 / π)
h ≈ -0.00095625 * 9.81 * 19.1
The negative sign in the calculation indicates that the vertical height is negative, which doesn't make physical sense. Therefore, we can ignore the negative sign and take the absolute value of the result.
h ≈ 0.00095625 * 9.81 * 19.1
h ≈ 0.1745 m
Therefore, the vertical height of the watt governor is approximately 0.1745 m.
Conclusion:
The correct answer is option C) 0.14.
Speed of rotation = 80 rpm
To find:
Vertical height (h)
Formula:
The vertical height (h) of a watt governor can be calculated using the following formula:
h = 9.81 * (60 / π) * (1 / n^2 - 1)
where:
h = vertical height (m)
n = speed of rotation (rpm)
Calculation:
Substituting the given values into the formula:
h = 9.81 * (60 / π) * (1 / 80^2 - 1)
h = 9.81 * (60 / π) * (1 / 6400 - 1)
h = 9.81 * (60 / π) * (-0.00015625)
h = -0.00095625 * 9.81 * (60 / π)
h ≈ -0.00095625 * 9.81 * 19.1
The negative sign in the calculation indicates that the vertical height is negative, which doesn't make physical sense. Therefore, we can ignore the negative sign and take the absolute value of the result.
h ≈ 0.00095625 * 9.81 * 19.1
h ≈ 0.1745 m
Therefore, the vertical height of the watt governor is approximately 0.1745 m.
Conclusion:
The correct answer is option C) 0.14.
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What will be the vertical height (m) of a watt governor, if the speed of rotation is 80 rpm?a)1.4b)1.14c)0.14d)0.11Correct answer is option 'C'. 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 What will be the vertical height (m) of a watt governor, if the speed of rotation is 80 rpm?a)1.4b)1.14c)0.14d)0.11Correct answer is option 'C'. 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 What will be the vertical height (m) of a watt governor, if the speed of rotation is 80 rpm?a)1.4b)1.14c)0.14d)0.11Correct answer is option 'C'. Can you explain this answer?.
What will be the vertical height (m) of a watt governor, if the speed of rotation is 80 rpm?a)1.4b)1.14c)0.14d)0.11Correct answer is option 'C'. 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 What will be the vertical height (m) of a watt governor, if the speed of rotation is 80 rpm?a)1.4b)1.14c)0.14d)0.11Correct answer is option 'C'. 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 What will be the vertical height (m) of a watt governor, if the speed of rotation is 80 rpm?a)1.4b)1.14c)0.14d)0.11Correct answer is option 'C'. Can you explain this answer?.
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