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How does wind speed effect the rate of cooling on sweat?
When we sweat, heat from our body is transferred to the water molecules, giving them energy. This energy is enough to break their intermolecular bonds, allowing the high energy (warm) particles to evaporate. When this happens, the sweat that's left is cooler, thus cooling us down.
The wind can blow away water vapour in the air, reducing the humidity and giving the sweat a higher concentration gradient to the air, increasing the rate of evaporation and therefore increasing the rate of cooling. The wind can blow away these particles which lessens the chance that they can re-condense back onto the skin (increasing the rate of evaporation and cooling). Finally, the wind can blow off the particles with higher energy from the surface of the skin (increasing the rate of evaporation and cooling).

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