__Concept__:

**Life of a bearing is given by:**

**\({L_{10}} = {\left( {\frac{C}{W}} \right)^n}\)**

where

L_{10} = basic life rating in million revolutions

C = dynamic load-carrying capacity

W = equivalent dynamic load

n = constant = 3 for ball bearing and \(\frac{{10}}{3}{\rm{\;}}\)for roller bearing

__Calculation:__

__Given:__

C = 16kN, W = 2kN, n = 3 (ball bearing)

Life of bearing

\({L_{10}} = {\left( {\frac{C}{W}} \right)^n} = {\left( {\frac{{16}}{2}} \right)^3} = 512\;million\;revolutions = 512 \times {10^6}\;revolutions\)

∴ p = 512