Question

after a recent hail storm in south charlotte, a local weather man said that the "baseball-sized" hail stones would fall at 80 mph (35.8 m/s) Assuming a diameter of 7.35 cm and a roughness comparable to that of a golf ball, evaluate his claim. The density of ice may be taken to be 958 kg/m^3. Assume the air through which thehail stone falls to be 15 C

Answer 1

Given that,

      The diameter of hail stones = 7.35cm

      Speed of fall = 38.5 m/s

      Density of ice cubes = 958 kg/m³

   Temperature , T = 15 + 273 = 288K    

We know that,

      V = ( 4g X density X D / 3 X X T )^0.5

      35.8 = ( 4 X 10 X 958 X 0.0735 / 3 x x 288 )^0.5

        35.8² = ( 40 X 958 X 0.0735 / 864 X )

       = 0.0264