Mechanical Engineering Exam > Mechanical Engineering Questions > A 400 mm diameter shaft is rotating at 200 rp...
Start Learning for Free
A 400 mm diameter shaft is rotating at 200 rpm in a bearing of length 120 mm. If the thickness of oil film is 1.5 mm and the dynamic viscosity of the oil is 0.7 Ns/m2 determine:
(i) Torque required overcoming friction in bearing;
(ii) Power utilization in overcoming viscous resistance;
(i) Torque required overcoming friction in bearing;
(ii) Power utilization in overcoming viscous resistance;
Correct answer is 'Ans. (i) 58.97 Nm (ii) 1.235 kW'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A 400 mm diameter shaft is rotating at 200 rpm in a bearing of length ...
Given:
Diameter of the shaft = 400 mm
Rotational speed of the shaft = 200 rpm
Length of the bearing = 120 mm
Thickness of oil film = 1.5 mm
Dynamic viscosity of the oil = 0.7 Ns/m²
To find:
(i) Torque required to overcome friction in the bearing
(ii) Power utilization in overcoming viscous resistance
Solution:
(i) Torque required to overcome friction in the bearing:
The torque required to overcome friction in the bearing can be calculated using the following formula:
T = F × r
Where,
T = Torque required to overcome friction in the bearing
F = Force required to overcome friction in the bearing
r = Radius of the shaft
Force required to overcome friction in the bearing can be calculated using the following formula:
F = (6 × η × L × V) / (π × d³)
Where,
η = Dynamic viscosity of the oil
L = Length of the bearing
V = Velocity of the shaft
d = Diameter of the shaft
Radius of the shaft = Diameter / 2 = 400 / 2 = 200 mm
Velocity of the shaft can be calculated using the following formula:
V = (π × d × N) / 60
Where,
N = Rotational speed of the shaft
Substituting the given values in the above formulas, we get:
V = (π × 400 × 200) / 60 = 4188.79 mm/s
F = (6 × 0.7 × 120 × 4188.79) / (π × 400³) = 29.48 N
T = 29.48 × 200 = 58.97 Nm
Therefore, the torque required to overcome friction in the bearing is 58.97 Nm.
(ii) Power utilization in overcoming viscous resistance:
The power utilization in overcoming viscous resistance can be calculated using the following formula:
P = (F × V) / 1000
Where,
P = Power utilization in overcoming viscous resistance
F = Force required to overcome friction in the bearing
V = Velocity of the shaft
Substituting the given values in the above formula, we get:
P = (29.48 × 4188.79) / 1000 = 1.235 kW
Therefore, the power utilization in overcoming viscous resistance is 1.235 kW.
Diameter of the shaft = 400 mm
Rotational speed of the shaft = 200 rpm
Length of the bearing = 120 mm
Thickness of oil film = 1.5 mm
Dynamic viscosity of the oil = 0.7 Ns/m²
To find:
(i) Torque required to overcome friction in the bearing
(ii) Power utilization in overcoming viscous resistance
Solution:
(i) Torque required to overcome friction in the bearing:
The torque required to overcome friction in the bearing can be calculated using the following formula:
T = F × r
Where,
T = Torque required to overcome friction in the bearing
F = Force required to overcome friction in the bearing
r = Radius of the shaft
Force required to overcome friction in the bearing can be calculated using the following formula:
F = (6 × η × L × V) / (π × d³)
Where,
η = Dynamic viscosity of the oil
L = Length of the bearing
V = Velocity of the shaft
d = Diameter of the shaft
Radius of the shaft = Diameter / 2 = 400 / 2 = 200 mm
Velocity of the shaft can be calculated using the following formula:
V = (π × d × N) / 60
Where,
N = Rotational speed of the shaft
Substituting the given values in the above formulas, we get:
V = (π × 400 × 200) / 60 = 4188.79 mm/s
F = (6 × 0.7 × 120 × 4188.79) / (π × 400³) = 29.48 N
T = 29.48 × 200 = 58.97 Nm
Therefore, the torque required to overcome friction in the bearing is 58.97 Nm.
(ii) Power utilization in overcoming viscous resistance:
The power utilization in overcoming viscous resistance can be calculated using the following formula:
P = (F × V) / 1000
Where,
P = Power utilization in overcoming viscous resistance
F = Force required to overcome friction in the bearing
V = Velocity of the shaft
Substituting the given values in the above formula, we get:
P = (29.48 × 4188.79) / 1000 = 1.235 kW
Therefore, the power utilization in overcoming viscous resistance is 1.235 kW.
Free Test
FREE
| Start Free Test |
Community Answer
A 400 mm diameter shaft is rotating at 200 rpm in a bearing of length ...
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 400 mm diameter shaft is rotating at 200 rpm in a bearing of length 120 mm. If the thickness of oil film is 1.5 mm and the dynamic viscosity of the oil is 0.7 Ns/m2 determine:(i) Torque required overcoming friction in bearing;(ii) Power utilization in overcoming viscous resistance;Correct answer is 'Ans. (i) 58.97 Nm (ii) 1.235 kW'. Can you explain this answer?
Question Description
A 400 mm diameter shaft is rotating at 200 rpm in a bearing of length 120 mm. If the thickness of oil film is 1.5 mm and the dynamic viscosity of the oil is 0.7 Ns/m2 determine:(i) Torque required overcoming friction in bearing;(ii) Power utilization in overcoming viscous resistance;Correct answer is 'Ans. (i) 58.97 Nm (ii) 1.235 kW'. 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 400 mm diameter shaft is rotating at 200 rpm in a bearing of length 120 mm. If the thickness of oil film is 1.5 mm and the dynamic viscosity of the oil is 0.7 Ns/m2 determine:(i) Torque required overcoming friction in bearing;(ii) Power utilization in overcoming viscous resistance;Correct answer is 'Ans. (i) 58.97 Nm (ii) 1.235 kW'. 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 400 mm diameter shaft is rotating at 200 rpm in a bearing of length 120 mm. If the thickness of oil film is 1.5 mm and the dynamic viscosity of the oil is 0.7 Ns/m2 determine:(i) Torque required overcoming friction in bearing;(ii) Power utilization in overcoming viscous resistance;Correct answer is 'Ans. (i) 58.97 Nm (ii) 1.235 kW'. Can you explain this answer?.
A 400 mm diameter shaft is rotating at 200 rpm in a bearing of length 120 mm. If the thickness of oil film is 1.5 mm and the dynamic viscosity of the oil is 0.7 Ns/m2 determine:(i) Torque required overcoming friction in bearing;(ii) Power utilization in overcoming viscous resistance;Correct answer is 'Ans. (i) 58.97 Nm (ii) 1.235 kW'. 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 400 mm diameter shaft is rotating at 200 rpm in a bearing of length 120 mm. If the thickness of oil film is 1.5 mm and the dynamic viscosity of the oil is 0.7 Ns/m2 determine:(i) Torque required overcoming friction in bearing;(ii) Power utilization in overcoming viscous resistance;Correct answer is 'Ans. (i) 58.97 Nm (ii) 1.235 kW'. 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 400 mm diameter shaft is rotating at 200 rpm in a bearing of length 120 mm. If the thickness of oil film is 1.5 mm and the dynamic viscosity of the oil is 0.7 Ns/m2 determine:(i) Torque required overcoming friction in bearing;(ii) Power utilization in overcoming viscous resistance;Correct answer is 'Ans. (i) 58.97 Nm (ii) 1.235 kW'. Can you explain this answer?.
Solutions for A 400 mm diameter shaft is rotating at 200 rpm in a bearing of length 120 mm. If the thickness of oil film is 1.5 mm and the dynamic viscosity of the oil is 0.7 Ns/m2 determine:(i) Torque required overcoming friction in bearing;(ii) Power utilization in overcoming viscous resistance;Correct answer is 'Ans. (i) 58.97 Nm (ii) 1.235 kW'. 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 400 mm diameter shaft is rotating at 200 rpm in a bearing of length 120 mm. If the thickness of oil film is 1.5 mm and the dynamic viscosity of the oil is 0.7 Ns/m2 determine:(i) Torque required overcoming friction in bearing;(ii) Power utilization in overcoming viscous resistance;Correct answer is 'Ans. (i) 58.97 Nm (ii) 1.235 kW'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A 400 mm diameter shaft is rotating at 200 rpm in a bearing of length 120 mm. If the thickness of oil film is 1.5 mm and the dynamic viscosity of the oil is 0.7 Ns/m2 determine:(i) Torque required overcoming friction in bearing;(ii) Power utilization in overcoming viscous resistance;Correct answer is 'Ans. (i) 58.97 Nm (ii) 1.235 kW'. Can you explain this answer?, a detailed solution for A 400 mm diameter shaft is rotating at 200 rpm in a bearing of length 120 mm. If the thickness of oil film is 1.5 mm and the dynamic viscosity of the oil is 0.7 Ns/m2 determine:(i) Torque required overcoming friction in bearing;(ii) Power utilization in overcoming viscous resistance;Correct answer is 'Ans. (i) 58.97 Nm (ii) 1.235 kW'. Can you explain this answer? has been provided alongside types of A 400 mm diameter shaft is rotating at 200 rpm in a bearing of length 120 mm. If the thickness of oil film is 1.5 mm and the dynamic viscosity of the oil is 0.7 Ns/m2 determine:(i) Torque required overcoming friction in bearing;(ii) Power utilization in overcoming viscous resistance;Correct answer is 'Ans. (i) 58.97 Nm (ii) 1.235 kW'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A 400 mm diameter shaft is rotating at 200 rpm in a bearing of length 120 mm. If the thickness of oil film is 1.5 mm and the dynamic viscosity of the oil is 0.7 Ns/m2 determine:(i) Torque required overcoming friction in bearing;(ii) Power utilization in overcoming viscous resistance;Correct answer is 'Ans. (i) 58.97 Nm (ii) 1.235 kW'. 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