Temperature of Water in a Moving Plane

AI Thread Summary
Translational kinetic energy (K.E.) does not affect the temperature of water in a moving plane because the cup of water and the surrounding air are stationary relative to the aircraft. The internal energy of the water, which determines its temperature, remains unchanged despite the increase in kinetic energy due to the plane's velocity. The temperature is a measure of the internal kinetic energy of the water molecules, which is unaffected by the motion of the entire system. The total kinetic energy can be expressed as a sum of internal and translational components, but the temperature is only influenced by the internal energy. Thus, the temperature of the water remains constant in a fast-moving jet.
eranium
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Hello people,

i have been wondering if translational K.E = 3/2 RT, where T is the temperature, why is it that when we place a cup of water in a fast moving jet, the Temperature still remains the same, even though the K.E of the cup of water increases (due to the velocity of the jet)

would appreciate if someone help clear some doubts,
thanks in advance!
 
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I assume it's because the cup, and the surrounding air, are stationary relative to the vehicle.
 
is it possible to explain this in terms of internal energy?
 
The internal K.E. of the cup is T3/2 R relative to its own center of mass.

Relative to the airport, Total K.E. = (3/2)TR + (1/2)mv^2. (v being the speed of the center of mass).
 
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