Question

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Why do the string instruments go flat (lower frequencies) and the wind

Answer 1

When you play a stringed instrument the strings tend to stretch over time and its based on vibration which produces heat and because of heat tension(tensile strength) becomes poor so this reduced tension results a low frequency and that makes notes flat
When you play a wind instrument it warms-up the air inside . The speed of sound in air (v) increases as temperature increases. v = fλ therefore f = v/λ. λ doesn't change much as it fixed by the dimensions of the instrument, so when v rises f rises so there will be shorter wavelenght and high frequency