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A roller bearing has a dynamic load capacity of 30 kN and radial load acting on bearing is 5 kN. The desired life for 90% of the bearing is 10000 hr. What is the speed (in rpm) at which bearing is working?
- a)392.05
- b)654.16
- c)874.12
- d)915.16
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A roller bearing has a dynamic load capacity of 30 kN and radial load...
Life of bearing in million revolutions
Now for 90% life
n = 654.16 rpm
Most Upvoted Answer
A roller bearing has a dynamic load capacity of 30 kN and radial load...
Given data:
Dynamic load capacity (C) = 30 kN
Radial load (P) = 5 kN
Desired life (Ld) = 10000 hr
Probability of survival (P) = 0.9
We can use the basic dynamic load rating (Cr) formula to find the speed (N) at which the roller bearing is working:
Cr = (P/C)^(1/3) x 1000
where, Cr is the basic dynamic load rating in kN and N is the speed in rpm.
Calculation:
Substituting the given values in the above formula, we get:
Cr = (5/30)^(1/3) x 1000
Cr = 0.6204 x 1000
Cr = 620.4 kN
Now, we can use the bearing life formula to find the speed at which the bearing is working:
Ld = (C/P)^p x (60/N)
where, p = 3 for roller bearings.
Substituting the given values in the above formula, we get:
10000 = (30/5)^3 x (60/N)
10000 = 6^3 x (60/N)
N = 60 x 6^3 / 10000
N = 654.16 rpm
Therefore, the speed at which the roller bearing is working is 654.16 rpm (option B).
Dynamic load capacity (C) = 30 kN
Radial load (P) = 5 kN
Desired life (Ld) = 10000 hr
Probability of survival (P) = 0.9
We can use the basic dynamic load rating (Cr) formula to find the speed (N) at which the roller bearing is working:
Cr = (P/C)^(1/3) x 1000
where, Cr is the basic dynamic load rating in kN and N is the speed in rpm.
Calculation:
Substituting the given values in the above formula, we get:
Cr = (5/30)^(1/3) x 1000
Cr = 0.6204 x 1000
Cr = 620.4 kN
Now, we can use the bearing life formula to find the speed at which the bearing is working:
Ld = (C/P)^p x (60/N)
where, p = 3 for roller bearings.
Substituting the given values in the above formula, we get:
10000 = (30/5)^3 x (60/N)
10000 = 6^3 x (60/N)
N = 60 x 6^3 / 10000
N = 654.16 rpm
Therefore, the speed at which the roller bearing is working is 654.16 rpm (option B).
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A roller bearing has a dynamic load capacity of 30 kN and radial load acting on bearing is 5 kN. The desired life for 90% of the bearing is 10000 hr. What is the speed (in rpm) at which bearing is working?a) 392.05b) 654.16c) 874.12d) 915.16Correct answer is option 'B'. Can you explain this answer?
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A roller bearing has a dynamic load capacity of 30 kN and radial load acting on bearing is 5 kN. The desired life for 90% of the bearing is 10000 hr. What is the speed (in rpm) at which bearing is working?a) 392.05b) 654.16c) 874.12d) 915.16Correct answer is option 'B'. 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 roller bearing has a dynamic load capacity of 30 kN and radial load acting on bearing is 5 kN. The desired life for 90% of the bearing is 10000 hr. What is the speed (in rpm) at which bearing is working?a) 392.05b) 654.16c) 874.12d) 915.16Correct answer is option 'B'. 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 roller bearing has a dynamic load capacity of 30 kN and radial load acting on bearing is 5 kN. The desired life for 90% of the bearing is 10000 hr. What is the speed (in rpm) at which bearing is working?a) 392.05b) 654.16c) 874.12d) 915.16Correct answer is option 'B'. Can you explain this answer?.
A roller bearing has a dynamic load capacity of 30 kN and radial load acting on bearing is 5 kN. The desired life for 90% of the bearing is 10000 hr. What is the speed (in rpm) at which bearing is working?a) 392.05b) 654.16c) 874.12d) 915.16Correct answer is option 'B'. 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 roller bearing has a dynamic load capacity of 30 kN and radial load acting on bearing is 5 kN. The desired life for 90% of the bearing is 10000 hr. What is the speed (in rpm) at which bearing is working?a) 392.05b) 654.16c) 874.12d) 915.16Correct answer is option 'B'. 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 roller bearing has a dynamic load capacity of 30 kN and radial load acting on bearing is 5 kN. The desired life for 90% of the bearing is 10000 hr. What is the speed (in rpm) at which bearing is working?a) 392.05b) 654.16c) 874.12d) 915.16Correct answer is option 'B'. Can you explain this answer?.
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A roller bearing has a dynamic load capacity of 30 kN and radial load acting on bearing is 5 kN. The desired life for 90% of the bearing is 10000 hr. What is the speed (in rpm) at which bearing is working?a) 392.05b) 654.16c) 874.12d) 915.16Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A roller bearing has a dynamic load capacity of 30 kN and radial load acting on bearing is 5 kN. The desired life for 90% of the bearing is 10000 hr. What is the speed (in rpm) at which bearing is working?a) 392.05b) 654.16c) 874.12d) 915.16Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A roller bearing has a dynamic load capacity of 30 kN and radial load acting on bearing is 5 kN. The desired life for 90% of the bearing is 10000 hr. What is the speed (in rpm) at which bearing is working?a) 392.05b) 654.16c) 874.12d) 915.16Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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