Hail Kinetic Energy Damage Proxy

Sum spherical caller hail inventory kinetic energy per represented impact area; impact speeds are supplied, not terminal-speed lookup, and energy alone is not a damage, injury or safe-shelter prediction.

Description

A hail inventory carries kinetic energy determined by each stone's mass and impact speed.

A hail inventory carries kinetic energy determined by each stone's mass and impact speed. Energy divided by represented area is an exposure proxy rather than a calibrated damage estimate.^[1]

When to use Hail Kinetic Energy Damage Proxy

Use this tool to sum spherical caller hail inventory kinetic energy per represented impact area; impact speeds are supplied, not terminal-speed lookup, and energy alone is not a damage, injury or safe-shelter prediction.

Prepare the observed sounding, cloud records or forecast verification data. Check pressure and height coordinates, wind conventions and the stated units.

How to use Hail Kinetic Energy Damage Proxy and understand its results

Prepare the observed sounding, cloud records or forecast verification data. Check pressure and height coordinates, wind conventions and the stated units.
Enter hailDiametersM, impactSpeedsMPerSecond, hailStoneCounts, hailDensityKgPerM3, representedImpactAreaM2 using the field table and calculation rules, then run the tool.
Read totalModelHailKineticEnergyJ, energyPerImpactAreaJPerM2. The explanation below defines the units, signs, ordering and any flags or placeholder values.
If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.

Input field	Meaning	Value type; see rules below	Requirement
hailDiametersM	Hail diameters m	list of number	Required
impactSpeedsMPerSecond	Impact speeds m per second	list of number	Required
hailStoneCounts	Hail stone counts	list of number	Required
hailDensityKgPerM3	Hail density kg per m3	number	Required
representedImpactAreaM2	Represented impact area m2	number	Required

Pair nonnegative diameters in meters, nonnegative supplied impact speeds in m/s and nonnegative integer stone counts. Use positive hail density and represented impact area; return joules and J/m².

Paired lists must be nonempty and have equal lengths.

total energy = Σ(count × density × π × diameter³ × speed²/12)

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output field	Meaning	Value type
totalModelHailKineticEnergyJ	Total model hail kinetic energy j	number
energyPerImpactAreaJPerM2	Energy per impact area j per m2	number

json

{
  "input": {
    "hailDiametersM": [
      0.01,
      0.02
    ],
    "impactSpeedsMPerSecond": [
      10,
      20
    ],
    "hailStoneCounts": [
      1,
      2
    ],
    "hailDensityKgPerM3": 1000,
    "representedImpactAreaM2": 1
  },
  "output": {
    "totalModelHailKineticEnergyJ": 1.7016960206944713,
    "energyPerImpactAreaJPerM2": 1.7016960206944713
  }
}

Limitations and assumptions

Spherical stones and supplied speeds are assumed. No terminal-speed estimation, structural response or injury prediction is included.

Numeric inputs and returned numeric values must be finite; an unrepresentable returned value produces an error. Numeric lists are limited to 100,000 entries; the rules above may require smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Freezing Rain Depth Ice Load MM: Account supplied liquid-equivalent freezing rain, collection/retention and ice density into equivalent uniform ice load/thickness; not radial wire growth, structural capacity or travel safety. For a complementary task, use Collision Coalescence Warm Rain Growth: Integrate ideal spherical collector growth under constant relative fall speed, liquid content and efficiency, conserving gained liquid mass; no droplet spectrum, changing fall speed or rain onset prediction.

References

Hail Kinetic Energy Damage Proxy — tool.io

Similar or alternative tools

Freezing Rain Depth Ice Load MM
Account supplied liquid-equivalent freezing rain, collection/retention and ice density into equivalent uniform ice load/thickness; not radial wire growth, structural capacity or travel safety.
Collision Coalescence Warm Rain Growth
Integrate ideal spherical collector growth under constant relative fall speed, liquid content and efficiency, conserving gained liquid mass; no droplet spectrum, changing fall speed or rain onset prediction.