Wind Chill Index & Frostbite Risk Apparent Temperature Calculator

Compute NWS Wind Chill formula 35.74 + 0.6215T − 35.75V^0.16 + 0.4275TV^0.16.

Apparent Wind Chill Temperature (°F)
8.86 °F
Wind Chill in Celsius (°C) -12.86 °C
Cooling Effect Below Ambient 15.14 °F
Wind Speed in km/h 35.41 km/h
Inputs
°F
Ambient dry-bulb air temperature in °F.
mph
Sustained 10-meter wind speed in miles per hour (mph).
Results & Graph
Apparent Wind Chill Temperature (°F)
8.86 °F
Wind Chill in Celsius (°C)
-12.86 °C
Cooling Effect Below Ambient
15.14 °F
Wind Speed in km/h
35.41 km/h

Apparent Wind Chill Temperature (°F)

Graph 1 • Air Temp Fahrenheit Sensitivity Recalculates the domain equation across 50% to 150% of the primary input while holding other parameters constant.
-7.0 °F 9.8 °F 26.7 °F 50%: -7.01 °F -7.0 50% 75%: 0.92 °F 0.9 75% 100%: 8.86 °F 8.9 100% 125%: 16.79 °F 16.8 125% 150%: 24.73 °F 24.7 150%
Graph 2 • Primary & Supporting Metric Comparison Compares the primary output alongside supporting domain benchmarks.
Apparent Wind Chill Temperature (°F) 8.86 °F Wind Chill in Celsius (°C) -12.86 °C Cooling Effect Below Ambient 15.14 °F Wind Speed in km/h 35.41 km/h
Graph 3 • Exact Output Table & Units Displays each calculated output in its exact domain unit.
Apparent Wind Chill Temperature (°F)8.86 °FWind Chill in Celsius (°C)-12.86 °CCooling Effect Below Ambient15.14 °FWind Speed in km/h35.41 km/h
Summary: At 24°F air temperature and 22 mph wind, perceived Wind Chill is 8.9°F (-12.9°C).
Summary: At 24°F air temperature and 22 mph wind, perceived Wind Chill is 8.9°F (-12.9°C).
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Formula & Mathematical Methodology: Wind Chill Index Physics & Engineering Equation

WindChill_°F = 35.74 + 0.6215·T − 35.75·V0.16 + 0.4275·T·V0.16
WindChill_°F = 35.74 + 0.6215·T − 35.75·V^0.16 + 0.4275·T·V^0.16
  • airTempFahrenheit: Air Temp Fahrenheit (°F)
  • windSpeedMph: Wind Speed Mph (mph)

Rounding: Physical constants follow CODATA/NIST values; output quantities display to 2 decimal places.

Worked Example: Physics & Engineering Benchmark: Wind Chill Index

Compute NWS Wind Chill formula 35.74 + 0.6215T − 35.75V^0.16 + 0.4275TV^0.16.

  1. Enter the physical dimensions, electrical parameters, or thermodynamic state variables.
  2. Apply the governing equation: WindChill_°F = 35.74 + 0.6215·T − 35.75·V^0.16 + 0.4275·T·V^0.16.
  3. Inspect the primary SI output, derived quantities, and 3 visual SVG graphs.
Result: Computes Wind Chill Index via WindChill_°F = 35.74 + 0.6215·T − 35.75·V^0.16 + 0.4275·T·V^0.16.

Frequently Asked Questions

What equation powers the Wind Chill Index & Frostbite Risk Apparent Temperature Calculator?

It evaluates WindChill_°F = 35.74 + 0.6215·T − 35.75·V^0.16 + 0.4275·T·V^0.16 using IEEE-754 double precision and renders three synchronized SVG plots.

Can I test parameter sensitivity across multiple values?

Yes. Graph 1 automatically plots a 50%–150% parameter response curve, and you can pin up to 3 custom scenarios.

Are all units consistent with SI standards?

Yes. Each input field specifies its exact SI or engineering unit and converts internally where needed.

Science & Engineering · Thermodynamics & Heat Transfer

Wind Chill Index & Frostbite Risk Apparent Temperature Calculator: inputs, method, and how to read the result

Compute NWS Wind Chill formula 35.74 + 0.6215T − 35.75V^0.16 + 0.4275TV^0.16.

Choose inputs for the case you are checking

The defaults are illustrative. Replace them with values for your case and keep the units shown beside each field.

  • Air Temp Fahrenheit: Ambient dry-bulb air temperature in °F.
  • Wind Speed Mph: Sustained 10-meter wind speed in miles per hour (mph).

What the calculation includes

With the default values shown, Apparent Wind Chill Temperature (°F) is 8.86 °F. The calculation follows Wind Chill Index Physics & Engineering Equation; the formula and variable definitions above show how the inputs combine.

One-input check: With the other defaults held constant, changing Air Temp Fahrenheit from 24 °F to 26 °F changes Apparent Wind Chill Temperature (°F) from 8.86 °F to 11.5 °F. This is a comparison inside the calculator's stated model, not a prediction.

Where to use caution

  • Uses standard SI physical constants (g = 9.80665 m/s², c = 299,792,458 m/s, σ = 5.670374×10⁻⁸ W·m⁻²·K⁻⁴).
  • Engineering reference model; apply appropriate safety factors and empirical calibration for critical hardware designs.

Scope: SI / NIST Physics & Engineering Standard Check the assumptions and limitations against your situation before relying on the estimate.

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