First order system

An Example on Dynamic Characteristics

A balloon is equipped with temperature and altitude measuring instruments and has radio

equipment which can transmit the output readings of these instruments back to ground. The

balloon is initially anchored to the ground with the instrument output readings in steady state.

The altitude measuring instrument is approximately zero order and the temperature transducer

first order with a time constant of $15$ seconds. The temperature on the is $0C$ and the temperature

$T_x$ at an altitude of $x$ metres is given by the relation:

$T_x=-0\mathrm{.}01x$