Question: A balloon carrying a first-order thermometer with a 15-s time constant rises through the atmosphere at 6 m/s. Assume temperature varies with altitude at 0.15*C/30m.

A balloon carrying a first-order thermometer with a 15-s time constant rises through the atmosphere at 6 m/s. Assume temperature varies with altitude at 0.15*C/30m. The balloon radios temperature and altitude readings back to the ground. At 3000 m the balloon says the temperature is 0°C. What is the true altitude at which 0°C occurs?

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To solve this problem we must account for the lag in the thermometer due to its time constant A firstorder thermometer with a given time constant can ... View full answer

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