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A full journal bearing has a normal diameter of 50 mm and a bearing length of 25 mm. The bearing supports a load of 3000 N and the speed of the journal is 3000 rpm, and the radial clearance specified as 0.04 mm. SAE 10 oil has been chosen at 60°C temperature. The viscosity is 0.014 pa-s. Determine the Sommerfeld number.
  • a)
     0.114
  • b)
     6.84
  • c)
     9.114
  • d)
     0.456
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A full journal bearing has a normal diameter of 50 mm and a bearing le...
To determine the Sommerfeld number, we need to calculate the minimum film thickness of the lubricating oil in the journal bearing. The Sommerfeld number is defined as the ratio of the minimum film thickness to the bearing length.

Given data:
- Journal diameter (D) = 50 mm
- Bearing length (L) = 25 mm
- Load (W) = 3000 N
- Speed (N) = 3000 rpm
- Radial clearance (c) = 0.04 mm
- Temperature (T) = 60°C
- Viscosity (μ) = 0.014 Pa-s

The minimum film thickness (h) can be determined using the Reynolds equation:

h = (0.6 * c * (W / D) * (L / μ * N))^(1/3)

Calculating the minimum film thickness:
h = (0.6 * 0.04 * (3000 / 50) * (25 / (0.014 * 3000)))^(1/3)
h ≈ 0.081 mm

Now, we can calculate the Sommerfeld number using the formula:

Sommerfeld number = h / L

Sommerfeld number = 0.081 / 25
Sommerfeld number ≈ 0.114

Therefore, the correct answer is option 'A' - 0.114.
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A full journal bearing has a normal diameter of 50 mm and a bearing length of 25 mm. The bearing supports a load of 3000 N and the speed of the journal is 3000 rpm, and the radial clearance specified as 0.04 mm. SAE 10 oil has been chosen at 60°C temperature. The viscosity is 0.014 pa-s. Determine the Sommerfeld number.a)0.114b)6.84c)9.114d)0.456Correct answer is option 'A'. Can you explain this answer?
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A full journal bearing has a normal diameter of 50 mm and a bearing length of 25 mm. The bearing supports a load of 3000 N and the speed of the journal is 3000 rpm, and the radial clearance specified as 0.04 mm. SAE 10 oil has been chosen at 60°C temperature. The viscosity is 0.014 pa-s. Determine the Sommerfeld number.a)0.114b)6.84c)9.114d)0.456Correct answer is option 'A'. 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 full journal bearing has a normal diameter of 50 mm and a bearing length of 25 mm. The bearing supports a load of 3000 N and the speed of the journal is 3000 rpm, and the radial clearance specified as 0.04 mm. SAE 10 oil has been chosen at 60°C temperature. The viscosity is 0.014 pa-s. Determine the Sommerfeld number.a)0.114b)6.84c)9.114d)0.456Correct answer is option 'A'. 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 full journal bearing has a normal diameter of 50 mm and a bearing length of 25 mm. The bearing supports a load of 3000 N and the speed of the journal is 3000 rpm, and the radial clearance specified as 0.04 mm. SAE 10 oil has been chosen at 60°C temperature. The viscosity is 0.014 pa-s. Determine the Sommerfeld number.a)0.114b)6.84c)9.114d)0.456Correct answer is option 'A'. Can you explain this answer?.
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