For ball bearings, the fatigue life L measured in number

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For ball bearings, the fatigue life L measured in number of revolutions and the radial load P are related by FL^1/3 = K, where K is a constant. It withstands a radial load of 2 kN for a life of 540 million revolutions. The load (in kN) for a life of one million revolutions is ______.

1. 16.2865 kN
2. 18 kN
3. 15 kN
4. 15.2865 kN

Correct Option: A

FL^1/₃ = k
2 × 450^1/₃ = (1)^1/₃
F = 16.2865 kN