The problem comes from the Physlet Physics book by Wolfgang Christian and Mario

Question

The problem comes from the Physlet Physics book by Wolfgang Christian and Mario Belloni problem 14.2 page 123. You might need this as book comes with an interactive CD that runs simulations for each of the physics problems in order to solve them. It gives a moving cross which gives a x and y coordinate in a yellow box so that you may measure the tube.

 

A tube contains a column of mercury while the bottom container of mercury is open to the atmosphere to form a mercury barometer (position is given in tenths of meters and pressure given in pascals). What is the atmospheric pressure?

 

Below is the animation figure for problem 14.2

 

 

 

 

 

 

 

 

 

 

 

 

Explanation / Answer

Given    pressure   P = 39984 Pa   height of baro meter h = 7.5 m    the relation between pressure and atmospheric pressure is                  P   = P o + gh    density of mercury is   = 13.6*103 kg / m 3                atmos pheric pressure is               P o   =   g h - P                        = ( 13600*9.8*7.5 ) - 39984                        =     959616 Pa                         =    (959616) ( 1atm / 1.013    *105 Pa )                         = 9.4730 atm         

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