If the dynamic load capacity of a ball bearing is increased to 1.5 times its earlier value without changing its equivalent load, the life of the bearing increases to

Concept:

The life of ball bearing is given by,

\({L_{90}} = {\left( {\frac{c}{P}} \right)^3}\)

L₉₀ means that 90% of the bearing will complete or exceed this number of cycles before the indication of any failure.

Where C – dynamic load capacity and, P is equivalent load

Calculation:

When dynamic capacity is increased by 1.5 times then,

\({L_{90}} = {\left( {\frac{c}{P}} \right)^3}\)

New life will be \(L_{90}' = {\left( {\frac{{1.5\;C}}{P}} \right)^3} = {1.5^3}{\left( {\frac{C}{P}} \right)^3} = {1.5^3}\;{L_{90}}\)

\(L_{90}' = 3.375\;{L_{90}} \approx 3.4\;{L_{90}}\)