The relative density(specific gravity) of mercury is 13.6 and the acceleration d

Question

The relative density(specific gravity) of mercury is 13.6 and the acceleration due togravity is 9.81 m/s2.

(a) What height doesthe mercury in the barometer used to measure the atmosphericpressure at ground level rise to?

(b) If the modelairplane enthusiast assumes that the density of air is 1.2kg/m3and remains constant with altitude,what is the altitude of the model airplane that is determined fromthe available atmospheric pressure measured values?

(c) In order toimprove the accuracy of his altitude determination method, theenthusiast decides to consider the variations of the atmosphericair density with altitude. In this case, he determines the airplanealtitude using the hydrostatic pressure equation as derived in theLecture Notes (Section 2.1) for the general case of varying fluiddensity.

where:p = air pressure, T = air temperature (both pressure and temperaturevary

with height),and R= air gas constant = 287 J/(kgK).

The atmospherictemperature lapse rate is 0.007 K/m (the temperature lapse rate isthe temperature drop in degrees Kelvin per metre of altitude). Whatis the altitude of the model airplane as determined using this moreaccurate method?

(d) In view of yourresults, explain whether it is reasonable to ignore the air densityvariation with altitude when determining the airplane flyingaltitude

Explanation / Answer

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