35 th International Physics Olympiad Pohang, Korea 15 ~ 23 July 2004 Theoretical Competition Saturday, 17 July 2004 Theoretical Question 2.

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35 th International Physics Olympiad Pohang, Korea 15 ~ 23 July 2004 Theoretical Competition Saturday, 17 July 2004 Theoretical Question 2

35th International Physics Olympiad Theoretical Competition, Saturday, 17 July 2004 “Rising Balloon” Theoretical Question 2: “Rising Balloon” Objective: To find out how high a balloon rises

35th International Physics Olympiad Theoretical Competition, Saturday, 17 July 2004 “Rising Balloon” Theoretical Question 2: “Rising Balloon” Problem design: Air F B =  air Vg  W=P diff  V F B =M T g He Payload

35th International Physics Olympiad Theoretical Competition, Saturday, 17 July 2004 “Rising Balloon” Theoretical Question 2: “Rising Balloon” Physical concepts required: Hydrodynamics  Buoyancy  Pressure Thermodynamics  Ideal gas law  1 st Law of Thermodynamics Mechanics  Energy and Work  Force Equilibrium

35th International Physics Olympiad Theoretical Competition, Saturday, 17 July 2004 “Rising Balloon” Theoretical Question 2: “Rising Balloon” Real data of temperature versus height from a radiosonde flight on July 29, 1998 Linear fit of the temperature by 303(1-z/49000)

35th International Physics Olympiad Theoretical Competition, Saturday, 17 July 2004 “Rising Balloon” Theoretical Question 2: “Rising Balloon” Real data of pressure versus height on the same flight Power law fit of the pressure data by 1013.*(1-z/49000)5.5. Log of P versus z is shown

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