Load Factor is the ratio of the weight of an aircraft to the load imposed by lift: Load Factor = Lift / Weight
Lift is propotional to V2: L= CL × ½ rho × V2 × S
Therefore, n is proportional to V2 . An increase in "n" to 1.96 means lift has increased by a factor of 1.96. Consequently, "V" must change by a factor of √1.96 = 1.4.
The speed has increased to: 100 x 1.4 = 140 kt (= an increase of 40 kt)
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