A flagpole has a diameter of \(1.0 \mathrm{ft}\) and is \(45 \mathrm{ft}\). long. The manufacturer wants to find the bending moment at the base of the pole for a wind speed of \(60 \mathrm{mph}\). To do so, a scale model of the flagpole is built with a diameter of \(1.0 \mathrm{in}\). and a length of 45 in.

(a) What must be the air speed at which the model is tested?

(b) If the wind velocity over the flagpole in part (a) is reduced by \(50 \%\), how much would the bending moment at the base be reduced?