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A full journal bearing having clearance to radius ratio of 1/100, using a lubricant with μ = 22 X 10-3 as supports the shaft journal running at N = 2400 r.p.m. If the bearing pressure is 1.4 MPa, the Sommerfeld’s number is
  • a)
    8 X 10-3
  • b)
    8 X 10-5
  • c)
    0.48
  • d)
    0.48 X 10
Correct answer is option 'A'. Can you explain this answer?
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A full journal bearing having clearance to radius ratio of 1/100, usi...
= 8 x 10-3
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A full journal bearing having clearance to radius ratio of 1/100, usi...
Given data:
Clearance to radius ratio = 1/100
Coefficient of friction (μ) = 22 x 10^-3
Shaft speed (N) = 2400 rpm
Bearing pressure = 1.4 MPa

To find: Sommerfeld’s number

Formula used:
Sommerfeld’s number (S) = (μ*N)/(P*D)

Where,
P = Bearing pressure
D = Diameter of the journal

Calculation:
Diameter of the journal (d) = 2R = 2(100c) = 200c (where c is the clearance)
Bearing pressure (P) = 1.4 MPa = 1.4 x 10^6 N/m^2
Coefficient of friction (μ) = 22 x 10^-3
Shaft speed (N) = 2400 rpm = 2400/60 = 40 rps
Diameter of the journal (D) = 2c = 2(100c) = 200c

Substituting the values in the formula, we get:
Sommerfeld’s number (S) = (μ*N)/(P*D)
= (22 x 10^-3 * 40)/(1.4 x 10^6 * 200c)
= 8 x 10^-3

Therefore, the Sommerfeld’s number is 8 x 10^-3, which is option A.
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A full journal bearing having clearance to radius ratio of 1/100, using a lubricant with μ = 22 X 10-3 as supports the shaft journal running at N = 2400 r.p.m. If the bearing pressure is 1.4 MPa, the Sommerfeld’s number isa) 8 X 10-3b) 8 X 10-5c) 0.48d) 0.48 X 10Correct answer is option 'A'. Can you explain this answer?
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A full journal bearing having clearance to radius ratio of 1/100, using a lubricant with μ = 22 X 10-3 as supports the shaft journal running at N = 2400 r.p.m. If the bearing pressure is 1.4 MPa, the Sommerfeld’s number isa) 8 X 10-3b) 8 X 10-5c) 0.48d) 0.48 X 10Correct 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 having clearance to radius ratio of 1/100, using a lubricant with μ = 22 X 10-3 as supports the shaft journal running at N = 2400 r.p.m. If the bearing pressure is 1.4 MPa, the Sommerfeld’s number isa) 8 X 10-3b) 8 X 10-5c) 0.48d) 0.48 X 10Correct 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 having clearance to radius ratio of 1/100, using a lubricant with μ = 22 X 10-3 as supports the shaft journal running at N = 2400 r.p.m. If the bearing pressure is 1.4 MPa, the Sommerfeld’s number isa) 8 X 10-3b) 8 X 10-5c) 0.48d) 0.48 X 10Correct answer is option 'A'. Can you explain this answer?.
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