A few days ago
Air temperature math problem?
Here’s the problem: As dry air moves upward, it expands and in so doing cools at a rate of about 1 degree C for each 100-meter rise, up to about 12 km.
a) if the ground temp. is 20 degrees C, write a formula for the temp at height ‘h’.
b) what range of temps. can be expected if a plane takes off and reaches a max height of 5 km?
Please try and help! I’m not really sure I understand the problem, and it probably seems easier than I think, but please try to help anyway! Thanks.
Top 1 Answers
A few days ago
Favorite Answer
rate of cooling = 1 deg/100 m elevation, or
0.01 deg/m
a) So temp at height h (assuming h is in metres) is
T = 20 – (0.01)*h
b) at a height of 5km or 5000 m the temp will be T = 20 – (0.01)*5000 = -30 Deg C
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