A 45m long steel measuring tape is calibrated for use at 20 degrees C.
a) What is 20 degrees C in F and K?
b) How long is the tape on a hot day with T=35degrees C and a cold day with T=-10degrees C?
c) If you use the measuring tape to measure a piece of aluminum to be 15m when the temperature is 20degrees C, what length do you measure when the temperature is 35degrees C?
d) You fill your car tires to a gauge pressure of 22kPa on a cold morning (T=0degrees C) and drive to the dessert where the temperature is 36degrees C. Assume the volume of air is the same and the tires have come to thermal equilibrium with the ambient temperature. What is the new tire gauge pressure? Assume at both locations the atmospheric pressure is the standard 1 atmosphere.
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