Galileo dropped a lead ball of the Leaning Tower of Pisa in order to test his theories of dynamics.

Galileo dropped a lead ball of the Leaning Tower of Pisa in order to test his theories of dynamics.

1. Show that as a consequence of the Coriolis force the path of the lead ball deviates from the vertical and it lands to the East of Galileo's original position by a distance: x = gτ^3ωEsinφ/3, where τ ≈ sqrt(2h/g) and the expression for x is correct to first order in ωE . 
2. If the latitude of Pisa is 44◦N and the height of the tower is h = 50m, evaluate the easterly displacement numerically.