1. The Effect of Hail Size on DamageYou might wonder why large
hailstones are more damaging than small ones. After all, isn't the issue
how much ice falls to the ground; and aren't many small stones roughly
equivalent to a smaller number of large stones? As it happens, this is
far from true. Damage done by hail increases very rapidly in a nonlinear
fashion with increasing hailstone size. What matters is the amount of
kinetic energy hail carries as it falls to the surface.Kinetic energy
(KE) depends on mass (m) and speed (v) according to...The mass of a
stone is its density (ρ) times its volume...Velocity can be found using
the formula in Table 7-1. We can thus write...We see that the kinetic
energy of a hail-stone is proportional to the fourth power of its
radius. As a result, a hailstone with a radius of 1 cm (0.4 in.) packs
not twice as much punch as a 0.5 cm (0.2 in.) hailstone, but 16 times as
much. The threshold for automobile windshield damage due to falling
hailstones is about 5 cm (2 in.) in diameter.What is the relationship
between a falling hailstone's radius and the stone's kinetic energy? Get solution
2. The Effect of Hail Size on DamageYou might wonder why large hailstones are more damaging than small ones. After all, isn't the issue how much ice falls to the ground; and aren't many small stones roughly equivalent to a smaller number of large stones? As it happens, this is far from true. Damage done by hail increases very rapidly in a nonlinear fashion with increasing hailstone size. What matters is the amount of kinetic energy hail carries as it falls to the surface.Kinetic energy (KE) depends on mass (m) and speed (v) according to...The mass of a stone is its density (ρ) times its volume...Velocity can be found using the formula in Table 7-1. We can thus write...We see that the kinetic energy of a hail-stone is proportional to the fourth power of its radius. As a result, a hailstone with a radius of 1 cm (0.4 in.) packs not twice as much punch as a 0.5 cm (0.2 in.) hailstone, but 16 times as much. The threshold for automobile windshield damage due to falling hailstones is about 5 cm (2 in.) in diameter.What effect does the doubling of a hailstone's radius have on its kinetic energy? Get solution
2. The Effect of Hail Size on DamageYou might wonder why large hailstones are more damaging than small ones. After all, isn't the issue how much ice falls to the ground; and aren't many small stones roughly equivalent to a smaller number of large stones? As it happens, this is far from true. Damage done by hail increases very rapidly in a nonlinear fashion with increasing hailstone size. What matters is the amount of kinetic energy hail carries as it falls to the surface.Kinetic energy (KE) depends on mass (m) and speed (v) according to...The mass of a stone is its density (ρ) times its volume...Velocity can be found using the formula in Table 7-1. We can thus write...We see that the kinetic energy of a hail-stone is proportional to the fourth power of its radius. As a result, a hailstone with a radius of 1 cm (0.4 in.) packs not twice as much punch as a 0.5 cm (0.2 in.) hailstone, but 16 times as much. The threshold for automobile windshield damage due to falling hailstones is about 5 cm (2 in.) in diameter.What effect does the doubling of a hailstone's radius have on its kinetic energy? Get solution
