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A ball-bearing is characterized by basic static capacity = 11000 N and dynamic capacity = 18000 N. This bearing is subjected to equivalent static load = 5500 N. The bearing loading ratio and life in million revolutions respectively are
  • a)
    3.27 and 52.0
  • b)
    3.27 and 35.0
  • c)
    2.00 and 10.1
  • d)
    1.60 and 4.1
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A ball-bearing is characterized by basic static capacity = 11000 N and...
Loading ratio = C/P = 18000/5500 = 3.27
Life (million revolutions)
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Most Upvoted Answer
A ball-bearing is characterized by basic static capacity = 11000 N and...
Given:
Basic static capacity = 11000 N
Dynamic capacity = 18000 N
Equivalent static load = 5500 N

Calculation:
1. Bearing Loading Ratio:
Bearing Loading Ratio is defined as the ratio of equivalent dynamic load to the basic dynamic load rating of the bearing.

Equivalent dynamic load = 1.2 × (equivalent static load)

= 1.2 × 5500

= 6600 N

Bearing Loading Ratio = Equivalent dynamic load / Basic dynamic load rating

= 6600 / 18000

= 0.367

2. Life in million revolutions:
The life of the bearing can be calculated using the formula:

L10 = (C / P)^p

Where,
L10 = Life of the bearing in millions of revolutions
C = Basic dynamic load rating of the bearing
P = Equivalent dynamic load on the bearing
p = Exponent value (for ball bearings, p = 3)

Substituting the given values, we get:

L10 = (11000 / 6600)^3

= 35.03 million revolutions

Therefore, the Bearing Loading Ratio is 0.367 and the life of the bearing in million revolutions is 35.03.

Answer:
The correct option is B) 3.27 and 35.0.
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A ball-bearing is characterized by basic static capacity = 11000 N and dynamic capacity = 18000 N. This bearing is subjected to equivalent static load = 5500 N. The bearing loading ratio and life in million revolutions respectively area)3.27 and 52.0b)3.27 and 35.0c)2.00 and 10.1d)1.60 and 4.1Correct answer is option 'B'. Can you explain this answer?
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