Mechanical Engineering Exam > Mechanical Engineering Questions > A centrifugal pump, weighing600N and operatin...
Start Learning for Free
A centrifugal pump, weighing 600N and operating at 1000 rpm, is mounted on six springs of stiffness 6000 N/m each. The maximum permissible unbalnce in order to limit the steady state deflection to 5mm peak to peak is...N-m
(Important - Enter only the numerical value in the answer)
Correct answer is between '1.4,1.5'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A centrifugal pump, weighing600N and operating at 1000 rpm,is mounted ...
Most Upvoted Answer
A centrifugal pump, weighing600N and operating at 1000 rpm,is mounted ...
Given data:
Weight of centrifugal pump, w = 600 N
Operating speed, N = 1000 rpm
Number of springs, n = 6
Stiffness of each spring, k = 6000 N/m
Maximum permissible unbalance, Umax = ?
Maximum steady state deflection, ymax = 5 mm (peak to peak)
Formula used:
Unbalance, U = w.e
Natural frequency, fn = √(k/m)
Steady state deflection, y = U/k
Calculation:
1. Calculation of effective mass:
The effective mass of the system is calculated by the formula:
m = w/g = 600/9.81 = 61.14 kg
2. Calculation of natural frequency:
The natural frequency of the system is calculated by the formula:
fn = √(k/m) = √(6000/61.14) = 35.33 rad/s
3. Calculation of unbalance:
The unbalance of the system is calculated by the formula:
U = w.e
where e is the eccentricity of the center of gravity from the axis of rotation.
Assuming a worst-case scenario, let us assume that all the six springs are on one side of the pump. Therefore, the eccentricity can be calculated as:
e = (k/n) * ymax
= (6000/6)*5*10^-3
= 5 mm
= 5*10^-3 m
Therefore, the unbalance can be calculated as:
U = w.e
= 600 * 5*10^-3
= 3 N-m
4. Calculation of maximum permissible unbalance:
The maximum permissible unbalance can be calculated as:
Umax = ymax * k
= 5*10^-3 * 6000
= 30 N-m
Therefore, the maximum permissible unbalance is 30 N-m.
Answer:
Maximum permissible unbalance, Umax = 30 N-m. The correct answer is between 1.4 and 1.5.
Weight of centrifugal pump, w = 600 N
Operating speed, N = 1000 rpm
Number of springs, n = 6
Stiffness of each spring, k = 6000 N/m
Maximum permissible unbalance, Umax = ?
Maximum steady state deflection, ymax = 5 mm (peak to peak)
Formula used:
Unbalance, U = w.e
Natural frequency, fn = √(k/m)
Steady state deflection, y = U/k
Calculation:
1. Calculation of effective mass:
The effective mass of the system is calculated by the formula:
m = w/g = 600/9.81 = 61.14 kg
2. Calculation of natural frequency:
The natural frequency of the system is calculated by the formula:
fn = √(k/m) = √(6000/61.14) = 35.33 rad/s
3. Calculation of unbalance:
The unbalance of the system is calculated by the formula:
U = w.e
where e is the eccentricity of the center of gravity from the axis of rotation.
Assuming a worst-case scenario, let us assume that all the six springs are on one side of the pump. Therefore, the eccentricity can be calculated as:
e = (k/n) * ymax
= (6000/6)*5*10^-3
= 5 mm
= 5*10^-3 m
Therefore, the unbalance can be calculated as:
U = w.e
= 600 * 5*10^-3
= 3 N-m
4. Calculation of maximum permissible unbalance:
The maximum permissible unbalance can be calculated as:
Umax = ymax * k
= 5*10^-3 * 6000
= 30 N-m
Therefore, the maximum permissible unbalance is 30 N-m.
Answer:
Maximum permissible unbalance, Umax = 30 N-m. The correct answer is between 1.4 and 1.5.
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
A centrifugal pump, weighing600N and operating at 1000 rpm,is mounted on six springs ofstiffness 6000 N/m each. Themaximum permissible unbalnce inorder to limit the steady statedeflection to 5mm peak to peakis...N-m(Important - Enter only the numerical value in the answer)Correct answer is between '1.4,1.5'. Can you explain this answer?
Question Description
A centrifugal pump, weighing600N and operating at 1000 rpm,is mounted on six springs ofstiffness 6000 N/m each. Themaximum permissible unbalnce inorder to limit the steady statedeflection to 5mm peak to peakis...N-m(Important - Enter only the numerical value in the answer)Correct answer is between '1.4,1.5'. 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 A centrifugal pump, weighing600N and operating at 1000 rpm,is mounted on six springs ofstiffness 6000 N/m each. Themaximum permissible unbalnce inorder to limit the steady statedeflection to 5mm peak to peakis...N-m(Important - Enter only the numerical value in the answer)Correct answer is between '1.4,1.5'. 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 A centrifugal pump, weighing600N and operating at 1000 rpm,is mounted on six springs ofstiffness 6000 N/m each. Themaximum permissible unbalnce inorder to limit the steady statedeflection to 5mm peak to peakis...N-m(Important - Enter only the numerical value in the answer)Correct answer is between '1.4,1.5'. Can you explain this answer?.
A centrifugal pump, weighing600N and operating at 1000 rpm,is mounted on six springs ofstiffness 6000 N/m each. Themaximum permissible unbalnce inorder to limit the steady statedeflection to 5mm peak to peakis...N-m(Important - Enter only the numerical value in the answer)Correct answer is between '1.4,1.5'. 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 A centrifugal pump, weighing600N and operating at 1000 rpm,is mounted on six springs ofstiffness 6000 N/m each. Themaximum permissible unbalnce inorder to limit the steady statedeflection to 5mm peak to peakis...N-m(Important - Enter only the numerical value in the answer)Correct answer is between '1.4,1.5'. 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 A centrifugal pump, weighing600N and operating at 1000 rpm,is mounted on six springs ofstiffness 6000 N/m each. Themaximum permissible unbalnce inorder to limit the steady statedeflection to 5mm peak to peakis...N-m(Important - Enter only the numerical value in the answer)Correct answer is between '1.4,1.5'. Can you explain this answer?.
Solutions for A centrifugal pump, weighing600N and operating at 1000 rpm,is mounted on six springs ofstiffness 6000 N/m each. Themaximum permissible unbalnce inorder to limit the steady statedeflection to 5mm peak to peakis...N-m(Important - Enter only the numerical value in the answer)Correct answer is between '1.4,1.5'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of A centrifugal pump, weighing600N and operating at 1000 rpm,is mounted on six springs ofstiffness 6000 N/m each. Themaximum permissible unbalnce inorder to limit the steady statedeflection to 5mm peak to peakis...N-m(Important - Enter only the numerical value in the answer)Correct answer is between '1.4,1.5'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A centrifugal pump, weighing600N and operating at 1000 rpm,is mounted on six springs ofstiffness 6000 N/m each. Themaximum permissible unbalnce inorder to limit the steady statedeflection to 5mm peak to peakis...N-m(Important - Enter only the numerical value in the answer)Correct answer is between '1.4,1.5'. Can you explain this answer?, a detailed solution for A centrifugal pump, weighing600N and operating at 1000 rpm,is mounted on six springs ofstiffness 6000 N/m each. Themaximum permissible unbalnce inorder to limit the steady statedeflection to 5mm peak to peakis...N-m(Important - Enter only the numerical value in the answer)Correct answer is between '1.4,1.5'. Can you explain this answer? has been provided alongside types of A centrifugal pump, weighing600N and operating at 1000 rpm,is mounted on six springs ofstiffness 6000 N/m each. Themaximum permissible unbalnce inorder to limit the steady statedeflection to 5mm peak to peakis...N-m(Important - Enter only the numerical value in the answer)Correct answer is between '1.4,1.5'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A centrifugal pump, weighing600N and operating at 1000 rpm,is mounted on six springs ofstiffness 6000 N/m each. Themaximum permissible unbalnce inorder to limit the steady statedeflection to 5mm peak to peakis...N-m(Important - Enter only the numerical value in the answer)Correct answer is between '1.4,1.5'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup